A034012 - OEIS

A034012

Positive integers k satisfying y^2 = x^5 - k where x^5 and y^2 are not both divisible by 2^10 and k = 2^(2*m)*d with d a positive squarefree integer d = 7 (mod 8) such that the class number of Q(sqrt(-d)) is not divisible by 5.

1, 16, 19, 32, 32, 341, 608, 768, 2816

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OFFSET

1,2

REFERENCES

Michael Stoll, On the arithmetic of curves y^2=x^l+A and their Jacobians, J. Reine Angew. Math. 501 (1998), 171-189, see p. 179.

LINKS

Table of n, a(n) for n=1..9.

CROSSREFS

Cf. A034011, A034013, A034014.

Sequence in context: A070574 A249612 A260560 * A086121 A030402 A303813

Adjacent sequences: A034009 A034010 A034011 * A034013 A034014 A034015

KEYWORD

nonn,fini,full

AUTHOR

N. J. A. Sloane

EXTENSIONS

Title improved by Sean A. Irvine, Jul 29 2020

STATUS

approved