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Explicit moduli spaces for congruences of elliptic curves

Published version
Peer-reviewed

Repository URI

https://www.repository.cam.ac.uk/handle/1810/308144

Repository DOI

https://doi.org/10.17863/CAM.55238
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Bibliographic metadata (647.71 KB)
 Published version (369.15 KB)

Type

Article

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Authors

Abstract

Abstract: We determine explicit birational models over Q for the modular surfaces parametrising pairs of N-congruent elliptic curves in all cases where this surface is an elliptic surface. In each case we also determine the rank of the Mordell–Weil lattice and the geometric Picard number.

Description

Funder: University of Cambridge

Keywords

Article, Elliptic curves, Galois representations, Elliptic surfaces, 11G05, 11F80, 14J27

Journal Title

Mathematische Zeitschrift

Conference Name

Journal ISSN

0025-5874
1432-1823

Volume Title

295

Publisher

Springer Berlin Heidelberg

Publisher DOI

https://doi.org/10.1007/s00209-019-02392-9

Rights and licensing

Attribution 4.0 International (CC BY 4.0)
Except where otherwised noted, this item's license is described as Attribution 4.0 International (CC BY 4.0)

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