On the arithmetic of certain modular curves

DOI10.4064/aa130-2-7zbMath1134.11027arXivmath/0607611OpenAlexW2046703146MaRDI QIDQ5425950

Daeyeol Jeon, Chang Heon Kim

Publication date: 15 November 2007

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0607611

zbMATH Keywords

gonalitygenushyperellipticmodular curvetrigonal

Mathematics Subject Classification ID

Arithmetic aspects of modular and Shimura varieties (11G18) [https://portal.mardi4nfdi.de/w/index.php?title=+Special%3ASearch&search=%22Curves+of+arbitrary+genus+or+genus+%28%0D%0Ae+1%29+over+global+fields%22&go=Go Curves of arbitrary genus or genus ( e 1) over global fields (11G30)]

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A criterion to rule out torsion groups for elliptic curves over number fields ⋮ Weierstrass points of modular curves at cusps ⋮ On the coefficients of certain family of modular equations ⋮ Weierstrass points on certain modular groups ⋮ Odd degree isolated points on \(X_1(N)\) with rational \(j\)-invariant ⋮ Families of elliptic curves with prescribed torsion subgroups over dihedral quartic fields ⋮ Constructing elliptic curves over finite fields with prescribed torsion ⋮ On quadratic points of classical modular curves ⋮ Families of elliptic curves over cyclic cubic number fields with prescribed torsion ⋮ Computing Hilbert class polynomials with the Chinese remainder theorem ⋮ Bielliptic intermediate modular curves ⋮ Bielliptic modular curves \(X_1(M,N)\)

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