A007765 - OEIS

A007765

Primes p == 1 (mod 8), p = a^2 +64*b^2 such that y^2 = x^3 + p*x has rank 0.

257, 577, 1097, 1201, 1217, 1481, 1721, 2441, 2657, 2833, 2857, 3121, 3449, 3761, 4001, 4057, 4177, 4217, 4297, 4409, 4481, 4657, 4721, 4817, 4937, 5297, 5569, 5737, 6121, 6481, 6521, 6793, 6841, 6857, 7121, 7129, 7793, 7817, 7841, 8081, 8161, 8761

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OFFSET

1,1

LINKS

Table of n, a(n) for n=1..42.

D. G. Radcliffe, N. J. A. Sloane, C. Cole, J. Gillogly, & D. Dodson, Emails, 1994

H. E. Rose, On a class of elliptic curves with rank at most 2, Math. Comp., 64 (1995), 1251-1265.

CROSSREFS

Cf. A007766.

Sequence in context: A070815 A095321 A100633 * A250726 A142291 A208177

Adjacent sequences: A007762 A007763 A007764 * A007766 A007767 A007768

KEYWORD

nonn

AUTHOR

H. E Rose [ H.E.Rose(AT)bristol.ac.uk ]

EXTENSIONS

More terms from Pab Ter (pabrlos2(AT)yahoo.com), Nov 10 2005

STATUS

approved