A060953 - OEIS

A060953

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

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

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OFFSET

1,14

LINKS

Seiichi Manyama, Table of n, a(n) for n = 1..1000

H. Mishima, Tables of Elliptic Curves

F. Richman, Elliptic curves

K. Rubin and A. Silverberg, Ranks of elliptic curves

FORMULA

a(-n) = A060952(n). - Michael Somos, Dec 15 2011

PROG

(PARI) { A060953(n) = ellanalyticrank( ellinit([0, 0, 0, n, 0]) )[1]; }

CROSSREFS

Cf. A060748, A060838, A060950-A060953.

Sequence in context: A309168 A179229 A117201 * A339367 A348040 A082858

Adjacent sequences: A060950 A060951 A060952 * A060954 A060955 A060956

KEYWORD

nonn,nice

AUTHOR

N. J. A. Sloane, May 10 2001

EXTENSIONS

Lambert Klasen (Lambert.Klasen(AT)gmx.net), Mar 31 2005, kindly rechecked this sequence against the Mishima web site and found no errors.

Corrected Apr 10 2005 at the suggestion of James R. Buddenhagen. There were errors caused by the fact that Mishima lists each curve of rank two twice, once for each generator.

Extended by Max Alekseyev, Mar 09 2009

STATUS

approved