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A159584
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eta(2z)^3*eta(6z)^3/theta(3z)
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0
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1, 0, -3, -2, 0, 6, 6, 0, -3, -12, 0, 6, 0, 0, -6, 4, 0, 0, 6, 0, 0, 12, 0, -12, 1, 0, 9, -12, 0, -12, -30, 0, 12, 24, 0, 6, 0, 0, 24, 24, 0, -12, -18, 0, 0, -24, 0, -12, -23, 0, 6, 0, 0, -18, 48, 0, -12, 36, 0, 12, 0, 0, -18
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,3
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COMMENTS
| Expansion of eta(q^2)^3*eta(q^3)^2*eta(q^12)^2/eta(q^6)^2 in powers of q.
Unique cusp form of weight 5/2, level 12 and trivial character.
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REFERENCES
| G. Shimura, On modular forms of half integral weight, Annals of Math. 97 (1973) 440-481.
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LINKS
| Magma Calculator
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EXAMPLE
| q - 3*q^3 - 2*q^4 + 6*q^6 + 6*q^7 - 3*q^9 - 12*q^10 + ...
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PROG
| (MAGMA) Basis(CuspidalSubspace(HalfIntegralWeightForms(12, 5/2)), 64)
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CROSSREFS
| Cf. A029769
Sequence in context: A114376 A058096 A049780 * A080779 A010604 A067585
Adjacent sequences: A159581 A159582 A159583 * A159585 A159586 A159587
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KEYWORD
| sign
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AUTHOR
| S. R. Finch (Steven.Finch(AT)inria.fr), Apr 16 2009
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