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Maps between Jacobians of Modular Curves

✍ Scribed by Chandrashekhar Khare

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
736 KB
Volume
62
Category
Article
ISSN
0022-314X

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Let C be a curve of genus 2 and ψ 1 : C -β†’ E 1 a map of degree n, from C to an elliptic curve E 1 , both curves defined over C. This map induces a degree n map Ο† 1 : P 1 -β†’ P 1 which we call a Frey-Kani covering. We determine all possible ramifications for Ο† 1 . If ψ 1 : C -β†’ E 1 is maximal then the