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Properties

Label 1104.6.y
Level $1104$
Weight $6$
Character orbit 1104.y
Rep. character $\chi_{1104}(49,\cdot)$
Character field $\Q(\zeta_{11})$
Dimension $1200$
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.y (of order \(11\) and degree \(10\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 23 \)
Character field: \(\Q(\zeta_{11})\)
Sturm bound: \(1152\)

Dimensions

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

Total New Old
Modular forms 9720 1200 8520
Cusp forms 9480 1200 8280
Eisenstein series 240 0 240

Trace form

\( 1200 q + 196 q^{7} - 9720 q^{9} + O(q^{10}) \) \( 1200 q + 196 q^{7} - 9720 q^{9} - 1208 q^{11} + 900 q^{15} - 6692 q^{19} + 4664 q^{23} - 75000 q^{25} - 8144 q^{29} - 7160 q^{31} + 33576 q^{35} + 21296 q^{37} + 19280 q^{41} + 9884 q^{43} - 5016 q^{47} - 313640 q^{49} - 20772 q^{51} + 49456 q^{53} - 15408 q^{55} + 90024 q^{59} - 48080 q^{61} + 15876 q^{63} - 84400 q^{65} + 61060 q^{67} + 11160 q^{69} + 83056 q^{71} - 67032 q^{77} - 597296 q^{79} - 787320 q^{81} - 616612 q^{83} + 231936 q^{85} + 222696 q^{87} - 590488 q^{89} + 1987440 q^{91} - 1584 q^{93} + 814976 q^{95} - 16488 q^{97} - 97848 q^{99} + O(q^{100}) \)

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

\( S_{6}^{\mathrm{old}}(1104, [\chi]) \cong \) \(S_{6}^{\mathrm{new}}(23, [\chi])\)\(^{\oplus 10}\)\(\oplus\)\(S_{6}^{\mathrm{new}}(46, [\chi])\)\(^{\oplus 8}\)\(\oplus\)\(S_{6}^{\mathrm{new}}(69, [\chi])\)\(^{\oplus 5}\)\(\oplus\)\(S_{6}^{\mathrm{new}}(92, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{6}^{\mathrm{new}}(138, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{6}^{\mathrm{new}}(184, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{6}^{\mathrm{new}}(276, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{6}^{\mathrm{new}}(368, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{6}^{\mathrm{new}}(552, [\chi])\)\(^{\oplus 2}\)