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A276182
Numbers N such that the modular curve X_0(N) is hyperelliptic.
0
22, 23, 26, 28, 29, 30, 31, 33, 35, 37, 39, 40, 41, 46, 47, 48, 50, 59, 71
OFFSET
1,1
COMMENTS
"The only case where the hyperelliptic involution is not defined by an element of SL(2, R) is N=37."
"For N = 40, 48 the hyperelliptic involution v is not of Atkin-Lehner type. The remaining sixteen values are listed in the table below, together with their genera and hyperelliptic involutions v." (see Ogg link)
n N g v
1 22 2 11
2 23 2 23
3 26 2 26
4 28 2 7
5 29 2 29
6 30 3 15
7 31 2 31
8 33 3 11
9 35 3 35
10 39 3 39
11 41 3 41
12 46 5 23
13 47 4 47
14 50 2 50
15 59 5 59
16 71 6 71
LINKS
Andrew P. Ogg, Hyperelliptic modular curves, Bulletin de la S. M. F., 102 (1974), p. 449-462.
CROSSREFS
Sequence in context: A092624 A254751 A260993 * A091404 A260994 A114963
KEYWORD
nonn,fini,full
AUTHOR
Gheorghe Coserea, Oct 17 2016
STATUS
approved