Higher Weierstrass points on $X_{0}(p)$

DOI10.1090/S0002-9947-02-03204-XzbMath1114.11056WikidataQ60118266 ScholiaQ60118266MaRDI QIDQ4787472

Matthew A. Papanikolas, Scott Ahlgren

Publication date: 7 January 2003

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

modular curvesWeierstrass points

Mathematics Subject Classification ID

Arithmetic ground fields for curves (14H25) Curves over finite and local fields (11G20) Congruences for modular and (p)-adic modular forms (11F33) Arithmetic aspects of modular and Shimura varieties (11G18) Riemann surfaces; Weierstrass points; gap sequences (14H55)

Related Items (3)

On the trace and norm maps from \(\Gamma_0(\mathfrak{p})\) to \(\mathrm{GL}_2(A)\) ⋮ Congruences for newforms and the index of the Hecke algebra ⋮ Weierstrass points on \(X^+_0 (p)\) and supersingular \(j\)-invariants

Uses Software

• Magma

Cites Work

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• Weierstrass points on arithmetic surfaces
• Weierstrass points and modular forms
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• The red book of varieties and schemes. Includes the Michigan lectures (1974) on ``Curves and their Jacobians.
• The Magma algebra system. I: The user language
• Weierstrass points on \(X_0(p)\) and supersingular \(j\)-invariants
• Weierstraß points of \(\Gamma_ 0(n)\)
• Weierstrass points at cusps of \(\Gamma_ 0(n)\)
• Some arithmetic properties of Weierstrass points: Hyperelliptic curves
• The arithmetic of the values of modular functions and the divisors of modular forms
• Some observations on the arithmetic of Eisenstein series for the modular group \(\text{SL}(2,\mathbb{Z})\)
• Hyperelliptic modular curves

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