Elliptic Curves of Large Rank and Small Conductor

@inproceedings{Elkies2004EllipticCO,
  title={Elliptic Curves of Large Rank and Small Conductor},
  author={N. Elkies and M. Watkins},
  booktitle={ANTS},
  year={2004}
}
  • N. Elkies, M. Watkins
  • Published in ANTS 2004
  • Mathematics, Computer Science
  • 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) also the five of lowest absolute discriminant, that we found. 
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