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

Francesc Bars; Aristides Kontogeorgis; Xavier Xarles

Displaying similar documents to “Bielliptic and hyperelliptic modular curves X(N) and the group Aut(X(N))”

Tetragonal modular curves

Daeyeol Jeon, Euisung Park (2005)

Acta Arithmetica

Similarity:

Bielliptic modular curves X₁(N)

Daeyeol Jeon, Chang Heon Kim (2004)

Acta Arithmetica

Similarity:

Beilinson-Kato elements in K₂ of modular curves

François Brunault (2008)

Acta Arithmetica

Similarity:

Modular curves of composite level

Andreas Enge, Reinhard Schertz (2005)

Acta Arithmetica

Similarity:

On the arithmetic of certain modular curves

Daeyeol Jeon, Chang Heon Kim (2007)

Acta Arithmetica

Similarity:

Equations of hyperelliptic modular curves

Josep Gonzalez Rovira (1991)

Annales de l'institut Fourier

Similarity:

We compute, in a unified way, the equations of all hyperelliptic modular curves. The main tool is provided by a class of modular functions introduced by Newman in 1957. The method uses the action of the hyperelliptic involution on the cusps.

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. ...