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Elliptic Curves over Number Fields with Prescribed Reduction Type: 4 (Aspects of Mathematics, 4) - Softcover
Synopsis
Let K be an algebraic number field. The function attaching to each elliptic curve over K its conductor is constant on isoger. y classes of elliptic curves over K (for the definitions see chapter 1). ~Ioreover, for a given ideal a in OK the number of isogeny classes of elliptic curves over K with conductor a is finite. In these notes we deal with the following problem: How can one explicitly construct a set of representatives for the isogeny classes of elliptic curves over K with conductor a for a given ideal a in OK? The conductor of an elliptic curve over K is a numerical invariant which measures, in some sense, the badness of the reduction of the elliptic curve modulo the prime ideals in OK' It plays an important role in the famous Weil-Langlands conjecture on the connection between elliptic curves over K and congruence subgroups in 5L2(OK) • In case K ~ this connection can be stated as follows. For any ideal a = (N) in ~ let ro(N) be the congruence subgroup ro(N) { (: ~) E 5L2 (~) c E (N) } of 5L2 (~) and let 52 (fo (N be the space of cusp forms of weight 2 for r 0 (N) Now Weil conjectured that there exists a bijection between the rational normalized eigenforms in 52(ro(N for the Heckealgebra and the - 2 - Lsug~ny classes uf elliptic curves over ~ with conductor a = (N) .
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Elliptic Curves over Number Fields with Prescribed Reduction Type. (= Aspects of Mathematics, Volume E 4).
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VI, 213 Seiten, 352808569X Sprache: Englisch Gewicht in Gramm: 320 Groß 8°, Original-Karton (Softcover), wenige Seiten mit Abdruck einer Büroklammer, insgesamt gutes und innen sauberes Exemplar, Seller Inventory # 47828
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Elliptic Curves over Number Fields with Prescribed Reduction Type (Aspects of Mathematics) (German Edition)
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Elliptic Curves over Number Fields with Prescribed Reduction Type
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Elliptic Curves over Number Fields with Prescribed Reduction Type
Published by
Vieweg+Teubner, Vieweg+Teubner Verlag Jan 1983, 1983
ISBN 10: 352808569X
ISBN 13: 9783528085698
New
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Seller: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Germany
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Let K be an algebraic number field. The function attaching to each elliptic curve over K its conductor is constant on isoger. y classes of elliptic curves over K (for the definitions see chapter 1). ~Ioreover, for a given ideal a in OK the number of isogeny classes of elliptic curves over K with conductor a is finite. In these notes we deal with the following problem: How can one explicitly construct a set of representatives for the isogeny classes of elliptic curves over K with conductor a for a given ideal a in OK The conductor of an elliptic curve over K is a numerical invariant which measures, in some sense, the badness of the reduction of the elliptic curve modulo the prime ideals in OK' It plays an important role in the famous Weil-Langlands conjecture on the connection between elliptic curves over K and congruence subgroups in 5L2(OK) In case K ~ this connection can be stated as follows. For any ideal a = (N) in ~ let ro(N) be the congruence subgroup ro(N) { (: ~) E 5L2 (~) c E (N) } of 5L2 (~) and let 52 (fo (N' be the space of cusp forms of weight 2 for r 0 (N) Now Weil conjectured that there exists a bijection between the rational normalized eigenforms in 52(ro(N' for the Heckealgebra and the - 2 - Lsug~ny classes uf elliptic curves over ~ with conductor a = (N) . 213 pp. Deutsch. Seller Inventory # 9783528085698
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Elliptic Curves over Number Fields with Prescribed Reduction Type
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Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - Let K be an algebraic number field. The function attaching to each elliptic curve over K its conductor is constant on isoger. y classes of elliptic curves over K (for the definitions see chapter 1). ~Ioreover, for a given ideal a in OK the number of isogeny classes of elliptic curves over K with conductor a is finite. In these notes we deal with the following problem: How can one explicitly construct a set of representatives for the isogeny classes of elliptic curves over K with conductor a for a given ideal a in OK The conductor of an elliptic curve over K is a numerical invariant which measures, in some sense, the badness of the reduction of the elliptic curve modulo the prime ideals in OK' It plays an important role in the famous Weil-Langlands conjecture on the connection between elliptic curves over K and congruence subgroups in 5L2(OK) In case K ~ this connection can be stated as follows. For any ideal a = (N) in ~ let ro(N) be the congruence subgroup ro(N) { (: ~) E 5L2 (~) c E (N) } of 5L2 (~) and let 52 (fo (N' be the space of cusp forms of weight 2 for r 0 (N) Now Weil conjectured that there exists a bijection between the rational normalized eigenforms in 52(ro(N' for the Heckealgebra and the - 2 - Lsug~ny classes uf elliptic curves over ~ with conductor a = (N) . Seller Inventory # 9783528085698
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Elliptic Curves over Number Fields: With Prescribed Reduction Type
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Condition: Good. Friedrick Vieweg & Son, 1983. Cover very faintly soiled/rubbed, edges very faintly rubbed/bumped, otherwise intact; fore-edge ever-so-slightly soiled; binding tight; edges and interior intact and very clean except where noted. paperback. Good. Seller Inventory # 597041
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Elliptic Curves over Number Fields with Prescribed Reduction Type (Aspects of Mathematics) (German Edition)
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Elliptic Curves over Number Fields with Prescribed Reduction Type
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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. 1. Reduction of elliptic curves.- 2. Elliptic curves with good reduction outside a given set of prime ideals.- 3. The diophantine equation x3 ? y2 = r.- 4. Isogeny Classes.- 5. Review on explicit results.- References.- Index of special symbols.Let K. Seller Inventory # 4867346
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Elliptic Curves over Number Fields with Prescribed Reduction Type
Published by
Vieweg+Teubner Verlag, Vieweg+Teubner Verlag Jan 1983, 1983
ISBN 10: 352808569X
ISBN 13: 9783528085698
New
Taschenbuch
Seller: buchversandmimpf2000, Emtmannsberg, BAYE, Germany
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Taschenbuch. Condition: Neu. Neuware -Let K be an algebraic number field. The function attaching to each elliptic curve over K its conductor is constant on isoger. y classes of elliptic curves over K (for the definitions see chapter 1). ~Ioreover, for a given ideal a in OK the number of isogeny classes of elliptic curves over K with conductor a is finite. In these notes we deal with the following problem: How can one explicitly construct a set of representatives for the isogeny classes of elliptic curves over K with conductor a for a given ideal a in OK The conductor of an elliptic curve over K is a numerical invariant which measures, in some sense, the badness of the reduction of the elliptic curve modulo the prime ideals in OK' It plays an important role in the famous Weil-Langlands conjecture on the connection between elliptic curves over K and congruence subgroups in 5L2(OK) ¿ In case K ~ this connection can be stated as follows. For any ideal a = (N) in ~ let ro(N) be the congruence subgroup ro(N) { (: ~) E 5L2 (~) c E (N) } of 5L2 (~) and let 52 (fo (N» be the space of cusp forms of weight 2 for r 0 (N) Now Weil conjectured that there exists a bijection between the rational normalized eigenforms in 52(ro(N» for the Heckealgebra and the - 2 - Lsug~ny classes uf elliptic curves over ~ with conductor a = (N) .Springer Vieweg in Springer Science + Business Media, Abraham-Lincoln-Straße 46, 65189 Wiesbaden 220 pp. Deutsch. Seller Inventory # 9783528085698
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Elliptic Curves over Number Fields with Prescribed Reduction Type (Aspects of Mathematics, 4) (German Edition)
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Paperback. Condition: Very Good. Very Good. book. Seller Inventory # ERICA797352808569X6
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