Numerical modular symbols for elliptic curves

Wuthrich, Christian

doi:10.1090/mcom/3274

Numerical modular symbols for elliptic curves
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Math. Comp. 87 (2018), 2393-2423 Request permission

Abstract:

We present a detailed analysis of how to implement the computation of modular symbols for a given elliptic curve by using numerical approximations. This method turns out to be more efficient than current implementations as the conductor of the curve increases.

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