2 2 M ar 2 00 4 Elliptic curves of large rank and small conductor

@inproceedings{Elkies200922M,
  title={2 2 M ar 2 00 4 Elliptic curves of large rank and small conductor},
  author={Noam D. Elkies and Mark Watkins},
  year={2009}
}
For r = 6, 7, . . . , 11 we find an elliptic curve E/Q of rank at least r and the smallest conductor known, improving on the previous records by factors ranging from 1.0136 (for r = 6) to over 100 (for r = 10 and r = 11). We describe our search methods, and tabulate, for each r = 5, 6, . . . , 11, the five curves of lowest conductor, and (except for r = 11… CONTINUE READING