It is a classical result (apparently due to Tate) that all elliptic curves with a torsion point of order n ð44n410; or n ¼ 12Þ lie in a one-parameter family. However, this fact does not appear to have been used ever for computing the torsion of an elliptic curve. We present here an extremely down-to
✦ LIBER ✦
A complete diophantine characterization of the rational torsion of an elliptic curve
✍ Scribed by Irene García-Selfa; José M. Tornero
- Publisher
- Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
- Year
- 2011
- Tongue
- English
- Weight
- 214 KB
- Volume
- 28
- Category
- Article
- ISSN
- 1439-7617
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