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%I #14 Jul 09 2021 15:50:32
%S 1,2,3,4,5,6,7,8,9,10,12,16
%N Possible sizes of the torsion group of an elliptic curve over the rationals Q. This is a finite sequence.
%D Joseph H. Silverman, The Arithmetic of Elliptic Curves, Graduates texts in mathematics 106 Springer-Verlag.
%H <a href="/index/Gre#groups">Index entries for sequences related to groups</a>
%F Numbers n such that A221362(n) > 0. - _Jonathan Sondow_, May 10 2014
%e a(1) corresponds to the trivial group.
%e a(2) corresponds to the cyclic group C_2.
%e a(3) corresponds to the cyclic group C_3.
%e a(4) corresponds to the cyclic group C_4 and the product C_2 x C_2.
%e a(5) corresponds to the cyclic group C_5.
%e a(6) corresponds to the cyclic group C_6.
%e a(7) corresponds to the cyclic group C_7.
%e a(8) corresponds to the cyclic group C_8 and the product C_2 x C_4.
%e a(9) corresponds to the cyclic group C_9.
%e a(10) corresponds to the cyclic group C_10.
%e a(12) corresponds to the cyclic group C_12 and the product C_2 x C_6.
%e a(16) corresponds to the product C_2 x C_8.
%Y Cf. A221362.
%K nonn,fini,full
%O 1,2
%A Noam Katz (noamkj(AT)hotmail.com), Feb 21 2001
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