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A060953 Rank of elliptic curve y^2 = x^3 + n*x. 15
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 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,14
LINKS
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
Sequence in context: A309168 A179229 A117201 * A339367 A348040 A082858
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

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Last modified March 18 22:56 EDT 2024. Contains 370952 sequences. (Running on oeis4.)