Elliptic curves with torsion groups $${ \mathbb {Z}}/ 8 {\mathbb {Z} } $$ and $${ \mathbb {Z}}/ 2 {\mathbb {Z}} \times {\mathbb {Z}}/ 6 {\mathbb {Z}}$$-Reference-Cited by-同舟云学术

Elliptic curves with torsion groups $${ \mathbb {Z}}/ 8 {\mathbb {Z} } $$ and $${ \mathbb {Z}}/ 2 {\mathbb {Z}} \times {\mathbb {Z}}/ 6 {\mathbb {Z}}$$

Published:2021-08-12 Issue:4 Volume:115 Page:
ISSN:1578-7303
Container-title:Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas
language:en
Short-container-title:RACSAM

Author:

Dujella Andrej^ORCID,Kazalicki Matija,Peral Juan Carlos

Funder

European Regional Development Fund

Hrvatska Zaklada za Znanost

UPV/EHU grant

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics,Geometry and Topology,Algebra and Number Theory,Analysis

Link

https://link.springer.com/content/pdf/10.1007/s13398-021-01112-5.pdf

Reference23 articles.

1. Beauville, A.: Les familles stables de courbes elliptiques sur $P^1$ admettant quatre fibres singulières. C. R. Acad. Sci. Paris Sér. I Math. 294, 657–660 (1982)

2. Bertin, M.J., Lecacheux, O.: Elliptic fibrations on the modular surface associated to $\Gamma _1(8)$. In: Arithmetic and Geometry of K3 Surfaces and Calabi–Yau Threefolds, Fields Institute Communications, vol. 67, pp. 153–199. Springer, New York (2013)

3. Campbell, G.: Finding elliptic curves defined over ${\mathbb{Q}}$ of high rank. In: African Americans in Mathematics (Piscataway, NJ, 1996). DIMACS Series in Discrete Mathematics and Theoretical Computer Science, vol. 34, pp. 107–109. American Mathematical Society, Providence (1997)

4. Cremona, J.: Algorithms for Modular Elliptic Curves. Cambridge University Press, Cambridge (1997)

5. Dujella, A.: High rank elliptic curves with prescribed torsion. http://web.math.hr/~duje/tors/tors.html

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