Modular equations of hyperelliptic X₀(N) and an application
Takeshi Hibino; Naoki Murabayashi
Acta Arithmetica (1997)
- Volume: 82, Issue: 3, page 279-291
- ISSN: 0065-1036
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topTakeshi Hibino, and Naoki Murabayashi. "Modular equations of hyperelliptic X₀(N) and an application." Acta Arithmetica 82.3 (1997): 279-291. <http://eudml.org/doc/207092>.
@article{TakeshiHibino1997,
author = {Takeshi Hibino, Naoki Murabayashi},
journal = {Acta Arithmetica},
keywords = {hyperelliptic modular curve; hyperelliptic involution; computation of rational polynomials; modular invariant; number of -rational points},
language = {eng},
number = {3},
pages = {279-291},
title = {Modular equations of hyperelliptic X₀(N) and an application},
url = {http://eudml.org/doc/207092},
volume = {82},
year = {1997},
}
TY - JOUR
AU - Takeshi Hibino
AU - Naoki Murabayashi
TI - Modular equations of hyperelliptic X₀(N) and an application
JO - Acta Arithmetica
PY - 1997
VL - 82
IS - 3
SP - 279
EP - 291
LA - eng
KW - hyperelliptic modular curve; hyperelliptic involution; computation of rational polynomials; modular invariant; number of -rational points
UR - http://eudml.org/doc/207092
ER -
References
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- [10] A. Ogg, Hyperelliptic modular curves, Bull. Soc. Math. France 102 (1974), 449-462. Zbl0314.10018
- [11] A. Pizer, An algorithm for computing modular forms on Γ₀(N), J. Algebra 64 (1980), 340-390. Zbl0433.10012
- [12] G. Shimura, Introduction to the Arithmetic Theory of Automorphic Functions, Iwanami Shoten and Princeton Univ. Press, 1971. Zbl0221.10029
- [13] M. Shimura, Defining equations of modular curves X₀(N), Tokyo J. Math. 18 (1995), 443-456. Zbl0865.11052
- [14] M. Yamauchi, On the traces of Hecke operators for a normalizer of Γ₀(N), J. Math. Kyoto Univ. 13 (1973), 403-411. Zbl0267.10038
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