Bounding the j-invariant of integral points on x+ns(p)

Aurélien Bajolet; Min Sha

doi:10.1090/S0002-9939-2014-12100-9

Bounding the j-invariant of integral points on x⁺_ns(p)

Aurélien Bajolet^*, Min Sha

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

For any prime p ≥ 7, by using Baker’s method we obtain two explicit bounds in terms of p for the j-invariant of an integral point on X⁺_ns(p) which is the modular curve of level p corresponding to the normalizer of a non-split Cartan subgroup of GL₂(ℤ/pℤ).

Original language	English
Pages (from-to)	3395-3410
Number of pages	16
Journal	Proceedings of the American Mathematical Society
Volume	142
Issue number	10
DOIs	https://doi.org/10.1090/S0002-9939-2014-12100-9
Publication status	Published - 1 Oct 2014
Externally published	Yes

Keywords

Baker’s method
J-invariant
Modular curves
Non-split cartan

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10.1090/S0002-9939-2014-12100-9

Cite this

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abstract = "For any prime p ≥ 7, by using Baker{\textquoteright}s method we obtain two explicit bounds in terms of p for the j-invariant of an integral point on X+ns(p) which is the modular curve of level p corresponding to the normalizer of a non-split Cartan subgroup of GL2(ℤ/pℤ).",

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AB - For any prime p ≥ 7, by using Baker’s method we obtain two explicit bounds in terms of p for the j-invariant of an integral point on X+ns(p) which is the modular curve of level p corresponding to the normalizer of a non-split Cartan subgroup of GL2(ℤ/pℤ).

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KW - Modular curves

KW - Non-split cartan

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Bounding the j-invariant of integral points on x⁺_ns(p)

Abstract

Keywords

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