A319510 Rank of elliptic curve y^2 = x^3 - n^2 * x.

0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0

Offset

1,34

Comments

a(A003273(n)) > 0 for n > 0.

Links

Seiichi Manyama, Table of n, a(n) for n = 1..5000

Formula

a(n) = A060952(n^2).

a(A194687(n)) = n.

Prog

(PARI) {a(n) = ellanalyticrank(ellinit([0, 0, 0, -n^2, 0]))[1]}

Crossrefs

Cf. A003273, A060952, A062693, A062695, A194687, A273929.

Sequence in context: A369055 A038498 A361984 * A257217 A184154 A284441

Adjacent sequences: A319507 A319508 A319509 * A319511 A319512 A319513

Keyword

nonn

Author

Seiichi Manyama, Sep 24 2018

Status

approved