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A006962
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Supersingular primes of the elliptic curve X_0 (11).
(Formerly M2115)
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2
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2, 19, 29, 199, 569, 809, 1289, 1439, 2539, 3319, 3559, 3919, 5519, 9419, 9539, 9929, 11279, 11549, 13229, 14489, 17239, 18149, 18959, 19319, 22279, 24359, 27529, 28789, 32999, 33029, 36559, 42899, 45259, 46219, 49529, 51169, 52999, 55259
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| The primes for which A006571(p) == 0 (mod p) are called supersingular for the elliptic curve "11a3" and form sequence A006962. A prime p>2 is in A006962 if and only if A006571(p) = 0. - Michael Somos Dec 25 2010
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REFERENCES
| S. Lang and H. F. Trotter, Frobenius Distribution in GL_2-Extensions. Lect Notes Math. 504, 1976, see p. 267.
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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PROG
| (PARI) forprime(p=2, 2999, if(polcoeff(x * sqr(eta(x + O(x^p)) * eta(x^11 + O(x^p))), p)%p == 0, print1(p", "))) /* Michael Somos Dec 25 2010 */
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CROSSREFS
| Cf. A006571.
Sequence in context: A083689 A102617 A120276 * A090819 A059697 A103058
Adjacent sequences: A006959 A006960 A006961 * A006963 A006964 A006965
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
| More terms from Michael Somos, Dec 25 2010
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