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A060951
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Rank of elliptic curve y^2 = x^3 - n.
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6
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0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,11
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LINKS
| T. D. Noe, Table of n, a(n) for n=1..10000 (from Gebel)
H. Mishima, Tables of Elliptic Curves
J. Gebel, Integer points on Mordell curves
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PROG
| (PARI) {a(n) = if( n<1, 0, length( ellgenerators( ellinit( [ 0, 0, 0, 0, -n], 1))))} /* Michael Somos Mar 17 2011 */
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CROSSREFS
| Cf. A060748, A060838, A060950- A060953.
Cf. A081120 (number of integral solutions to Mordell's equation y^2 = x^3 - n)
Sequence in context: A173920 A070100 A070095 * A115525 A065717 A070092
Adjacent sequences: A060948 A060949 A060950 * A060952 A060953 A060954
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KEYWORD
| nonn,nice
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com), May 10 2001
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EXTENSIONS
| Corrected Apr 08 2005 at the suggestion of James Buddenhagen (jbuddenh(AT)gmail.com). There were errors caused by the fact that Mishima lists each curve of rank two twice, once for each generator.
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