Weierstrass points on \(X^+_0 (p)\) and supersingular \(j\)-invariants

DOI10.1186/s40687-017-0115-zzbMath1422.11135arXiv1702.05131OpenAlexW2736511352WikidataQ59612137 ScholiaQ59612137MaRDI QIDQ721967

Stephanie Treneer

Publication date: 20 July 2018

Published in: Research in the Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1702.05131

zbMATH Keywords

modular curvesmodular formsWeierstrass pointssupersingular elliptic curves

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05)

Related Items

The Hecke system of harmonic Maass functions and applications to modular curves of higher genera

Cites Work

• Notes on Weierstrass points of modular curves \(X_0(n)\)
• A short remark on Weierstrass points at infinity on \(X_0(N)\)
• Weierstrass points and modular forms
• Supersingular j-invariants as singular moduli mod p
• 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 of \(\Gamma_ 0(n)\)
• Weierstrass points at cusps of \(\Gamma_ 0(n)\)
• Vanishing of modular forms at infinity
• Les Schémas de Modules de Courbes Elliptiques
• Higher Weierstrass points on $X_{0}(p)$
• WEIERSTRASS POINTS ON $X_0(\lowercase{p}M)$ AND SUPERSINGULAR $\lowercase{j}$-INVARIANTS
• Hyperelliptic modular curves
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