Computations on Modular Jacobian Surfaces
We give a method for finding rational equations of genus 2 curves whose jacobians are abelian varieties Af attached by Shimura to normalized newforms f ∈ S 2(Γ 0(N)). We present all the curves corresponding to principally polarized surfaces A f for N ≤ 500.
KeywordsElliptic Curve Theta Function Abelian Variety Hyperelliptic Curve Weierstrass Point
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