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A037946
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Coefficients of unique normalized cusp form Delta_22 of weight 22 for full modular group.
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6
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1, -288, -128844, -2014208, 21640950, 37107072, -768078808, 1184071680, 6140423133, -6232593600, -94724929188, 259518615552, -80621789794, 221206696704, -2788306561800, 3883087691776, 3052282930002
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OFFSET
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1,2
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REFERENCES
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G. Harder. "A Congruence Between a Siegel and an Elliptic Modular Form." The 1-2-3 of modular forms. Springer Berlin Heidelberg, 2008. 247-262.
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LINKS
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FORMULA
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G.f.: (E_4(q)^3 - E_6(q)^2)/12^3 * E_4(q) * E_6(q). - Seiichi Manyama, Jun 09 2017
G.f.: 691/(1728*250) * (E_8(q)*E_14(q) - E_10(q)*E_12(q)). - Seiichi Manyama, Jul 25 2017
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EXAMPLE
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q^2 - 288*q^4 - ...
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MATHEMATICA
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terms = 17;
E4[x_] = 1 + 240*Sum[k^3*x^k/(1 - x^k), {k, 1, terms+1}];
E6[x_] = 1 - 504*Sum[k^5*x^k/(1 - x^k), {k, 1, terms+1}];
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CROSSREFS
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KEYWORD
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sign
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AUTHOR
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STATUS
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approved
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