A Divisor Formula and a Bound on the $$\mathbb {Q}$$-Gonality of the Modular Curve $$X_1(N)$$
Author:
Funder
National Science Foundation
Publisher
Springer Science and Business Media LLC
Subject
Algebra and Number Theory
Link
https://link.springer.com/content/pdf/10.1007/s40993-021-00243-3.pdf
Reference30 articles.
1. Baaziz, H.: Equations for the modular curve $$X_1(N)$$ and models of elliptic curves with torsion points. Math. Comp., 79(272):2371–2386, 2010. ISSN 0025-5718. https://doi.org/10.1090/S0025-5718-10-02332-X
2. Bourdon, A., Ejder, Ö., Liu, Y., Odumodu, F., Viray, B.: On the level of modular curves that give rise to isolated j-invariants. Advances in Mathematics 357, 106824 (2019)
3. Carlucci, P.: Cuspidal divisor class groups of non-split Cartan modular curves. Acta Arith., 187(4):301–327, (2019). ISSN 0065-1036. https://doi.org/10.4064/aa8516-6-2018
4. Chen, Y-H.: Cuspidal $${\mathbb{Q}}$$-rational torsion subgroup of $$J(\Gamma )$$ of level $$P$$. Taiwanese J. Math., 15(3):1305–1323, 2011. ISSN 1027-5487. https://doi.org/10.11650/twjm/1500406301
5. Csirik, J.A.: The Kernel of the Eistenstein Ideal. J. of Number Theory 92, 348–375 (2002)
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