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Explicit moduli spaces for curves of genus 1 and 2

Frengley, SamuelUniversity of Cambridge2023

… thesis we study pairs of $N$-congruent elliptic curves. That is, we study pairs of elliptic curves whose $N$-torsion subgroups are isomorphic as Galois modules. In particular, we study the moduli surfaces $Z_{N,r}$ which parametrise $N$-congruences of elliptic curves which raise the Weil pairing …

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The Elliptic Modular Functions Associated With the Elliptic Norm Curve E7

Woods, RoscoeUniversity of Illinois at Urbana-Champaign1920

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