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Properties

Label 1104.6.q
Level $1104$
Weight $6$
Character orbit 1104.q
Rep. character $\chi_{1104}(91,\cdot)$
Character field $\Q(\zeta_{4})$
Dimension $960$
Sturm bound $1152$

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Defining parameters

Level: \( N \) \(=\) \( 1104 = 2^{4} \cdot 3 \cdot 23 \)
Weight: \( k \) \(=\) \( 6 \)
Character orbit: \([\chi]\) \(=\) 1104.q (of order \(4\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 368 \)
Character field: \(\Q(i)\)
Sturm bound: \(1152\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{6}(1104, [\chi])\).

Total New Old
Modular forms 1928 960 968
Cusp forms 1912 960 952
Eisenstein series 16 0 16

Trace form

\( 960 q + 88 q^{4} + O(q^{10}) \) \( 960 q + 88 q^{4} - 768 q^{16} + 648 q^{18} - 3344 q^{23} - 10440 q^{24} - 25960 q^{26} + 16288 q^{29} - 51160 q^{32} - 3240 q^{36} - 90664 q^{46} - 89568 q^{48} - 2304960 q^{49} - 75360 q^{50} + 81160 q^{52} + 29160 q^{54} - 77416 q^{58} - 382200 q^{62} + 274120 q^{64} - 22320 q^{69} - 399528 q^{70} + 57672 q^{72} + 29792 q^{77} - 6298560 q^{81} - 115720 q^{82} - 264800 q^{85} + 127344 q^{92} + 763232 q^{94} - 198360 q^{96} + 207288 q^{98} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{6}^{\mathrm{new}}(1104, [\chi])\) into newform subspaces

The newforms in this space have not yet been added to the LMFDB.

Decomposition of \(S_{6}^{\mathrm{old}}(1104, [\chi])\) into lower level spaces

\( S_{6}^{\mathrm{old}}(1104, [\chi]) \cong \) \(S_{6}^{\mathrm{new}}(368, [\chi])\)\(^{\oplus 2}\)