Bielliptic modular curves X₁(N)

Daeyeol Jeon; Chang Heon Kim

Displaying similar documents to “Bielliptic modular curves X₁(N)”

Modular curves of composite level

Andreas Enge, Reinhard Schertz (2005)

Acta Arithmetica

Similarity:

Beilinson-Kato elements in K₂ of modular curves

François Brunault (2008)

Acta Arithmetica

Similarity:

Tetragonal modular curves

Daeyeol Jeon, Euisung Park (2005)

Acta Arithmetica

Similarity:

Modular parametrizations of certain elliptic curves

Matija Kazalicki, Koji Tasaka (2014)

Acta Arithmetica

Similarity:

Kaneko and Sakai (2013) recently observed that certain elliptic curves whose associated newforms (by the modularity theorem) are given by the eta-quotients can be characterized by a particular differential equation involving modular forms and Ramanujan-Serre differential operator. In this paper, we study certain properties of the modular parametrization associated to the elliptic curves over ℚ, and as a consequence we generalize and explain some of their findings. ...

On the arithmetic of certain modular curves

Daeyeol Jeon, Chang Heon Kim (2007)

Acta Arithmetica

Similarity:

A Cuspidal Class Number Formula for the Modular Curves X1(N).

Jing Yu (1980)

Mathematische Annalen

Similarity:

ndependence of Modular Units on Tate Curves.

Serge Lang, Daniel S. Kubert (1979)

Mathematische Annalen

Similarity:

On the concentration of points on modular hyperbolas and exponential curves

Tsz Ho Chan, Igor E. Shparlinski (2010)

Acta Arithmetica

Similarity:

Bielliptic and hyperelliptic modular curves X(N) and the group Aut(X(N))

Francesc Bars, Aristides Kontogeorgis, Xavier Xarles (2013)

Acta Arithmetica

Similarity:

We determine all modular curves X(N) (with N ≥ 7) that are hyperelliptic or bielliptic. We also give a proof that the automorphism group of X(N) is PSL₂(ℤ/Nℤ), whence it coincides with the normalizer of Γ(N) in PSL₂(ℝ) modulo ±Γ(N).