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Properties

Label 1100.2.cv
Level $1100$
Weight $2$
Character orbit 1100.cv
Rep. character $\chi_{1100}(207,\cdot)$
Character field $\Q(\zeta_{20})$
Dimension $832$
Sturm bound $360$

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Defining parameters

Level: \( N \) \(=\) \( 1100 = 2^{2} \cdot 5^{2} \cdot 11 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 1100.cv (of order \(20\) and degree \(8\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 220 \)
Character field: \(\Q(\zeta_{20})\)
Sturm bound: \(360\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1100, [\chi])\).

Total New Old
Modular forms 1536 896 640
Cusp forms 1344 832 512
Eisenstein series 192 64 128

Trace form

\( 832 q + 6 q^{2} - 12 q^{6} + 6 q^{8} + O(q^{10}) \) \( 832 q + 6 q^{2} - 12 q^{6} + 6 q^{8} + 20 q^{12} + 12 q^{13} - 28 q^{16} + 12 q^{17} + 26 q^{18} - 64 q^{21} + 10 q^{22} + 36 q^{26} - 10 q^{28} - 4 q^{32} + 20 q^{33} - 140 q^{36} + 12 q^{37} - 30 q^{38} + 24 q^{41} + 30 q^{42} + 24 q^{46} + 18 q^{48} + 46 q^{52} + 36 q^{53} - 232 q^{56} - 12 q^{57} + 18 q^{58} - 24 q^{61} + 124 q^{62} - 80 q^{66} + 38 q^{68} + 116 q^{72} - 12 q^{73} + 96 q^{76} + 20 q^{77} - 100 q^{78} + 120 q^{81} + 2 q^{82} + 28 q^{86} - 126 q^{88} + 56 q^{92} - 36 q^{93} - 244 q^{96} + 92 q^{97} - 236 q^{98} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{2}^{\mathrm{new}}(1100, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(1100, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(1100, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(220, [\chi])\)\(^{\oplus 2}\)