cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

Showing 1-2 of 2 results.

A309146 Least k such that the rank of the elliptic curve y^2 = x^3 + (k^2 - 6*k - 3)*x^2 + 16*k*x is n.

Original entry on oeis.org

2, 11, 74, 854
Offset: 0

Views

Author

Seiichi Manyama, Jul 14 2019

Keywords

Links

Crossrefs

Cf. A309142, A309147.

A372543 Least k such that the rank of the elliptic curve y^2 = x^3 - k^2*x + 1 is n, or -1 if no such k exists.

Original entry on oeis.org

0, 1, 2, 4, 8, 17, 61, 347, 3778, 11416
Offset: 0

Views

Author

Jose Aranda, Jul 04 2024

Keywords

Comments

This family of curves quickly reaches a moderate value of rank with a relatively small parameter k.
By heuristic search (see links), a(10) <= 216493 and a(11) <= 1448203.

Links

Crossrefs

Cf. A194687, A309060, A309068, A309069, A309146, A309147, A309164, A309165.

Programs

  • PARI
    a(n,startAt=0)=for(k=startAt, oo, my(t=ellrank(ellinit([-k^2, +1]))); if(t[2]n, warning("k=",k," has rank in ",t[1..2]); next); if(t[1]n, error("Cannot determine if a(",n,") is ",k," or larger; rank is in ",t[1..2])); return(k)) \\ Charles R Greathouse IV, Jul 08 2024
  • PARI
    \\ See Aranda link.
Showing 1-2 of 2 results.

Started in 1964 by Neil J. A. Sloane | Maintained by The OEIS Foundation Inc.

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