Weierstrass points on \(X _{0}(p \ell )\) and arithmetic properties of Fourier coefficients of cusp forms

DOI10.1007/s11139-007-9018-8zbMath1191.14041OpenAlexW1984303831MaRDI QIDQ2269015

Kilian Kilger

Publication date: 15 March 2010

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11139-007-9018-8

zbMATH Keywords

modular curvescongruence subgroupsWeierstrass pointselliptic modular forms

Mathematics Subject Classification ID

Fourier coefficients of automorphic forms (11F30) Holomorphic modular forms of integral weight (11F11) Arithmetic aspects of modular and Shimura varieties (11G18) Riemann surfaces; Weierstrass points; gap sequences (14H55)

Related Items (7)

Weierstrass points on modular curves X₀(N) fixed by the Atkin–Lehner involutions ⋮ Weierstrass points on hyperelliptic modular curves ⋮ Weierstrass points on certain modular groups ⋮ On the Miller basis for the space of cusp forms ⋮ Weierstrass points on bielliptic intermediate modular curves ⋮ Vanishing of modular forms at infinity ⋮ A higher weight analogue of Ogg’s theorem on Weierstrass points

Cites Work

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• A short remark on Weierstrass points at infinity on \(X_0(N)\)
• On the Weierstrass points of \(X_0(N)\)
• Weierstrass points at cusps on special modular curves
• Weierstrass points on \(X_0(p)\) and supersingular \(j\)-invariants
• Weierstrass points at cusps of \(\Gamma_ 0(n)\)
• Vanishing of certain spaces of elliptic modular forms and some applications
• Les Schémas de Modules de Courbes Elliptiques
• WEIERSTRASS POINTS ON $X_0(\lowercase{p}M)$ AND SUPERSINGULAR $\lowercase{j}$-INVARIANTS

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