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A060950 Rank of elliptic curve y^2 = x^3 + n. 11
0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,15

COMMENTS

The curves for n and -27*n are isogenous (as Noam Elkies points out---see Womack), so they have the same rank. - Jonathan Sondow, Sep 10 2013

LINKS

T. D. Noe, Table of n, a(n) for n=1..10000 (from Gebel)

J. Gebel, Integer points on Mordell curves [Cached copy, after the original web site tnt.math.se.tmu.ac.jp was shut down in 2017]

H. Mishima, Tables of Elliptic Curves

T. Womack, Minimal-known positive and negative k for Mordell curves of given rank

FORMULA

a(n) = A060951(27*n) and A060951(n) = a(27*n), so a(n) = a(729*n). - Jonathan Sondow, Sep 10 2013

EXAMPLE

a(1) = A060951(27) = a(729) = 0. - Jonathan Sondow, Sep 10 2013

CROSSREFS

Cf. A002151, A002153, A002155, A102833, A060748, A060838, A060951-A060953.

Cf. A081119 (number of integral solutions to Mordell's equation y^2 = x^3 + n)

Sequence in context: A182886 A108731 A235168 * A039976 A287267 A317540

Adjacent sequences:  A060947 A060948 A060949 * A060951 A060952 A060953

KEYWORD

nonn,nice

AUTHOR

N. J. A. Sloane, May 10 2001

EXTENSIONS

Corrected by James R. Buddenhagen, Feb 18 2005

STATUS

approved

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Last modified October 15 15:14 EDT 2019. Contains 328030 sequences. (Running on oeis4.)