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Properties

Label 1911.2.e
Level $1911$
Weight $2$
Character orbit 1911.e
Rep. character $\chi_{1911}(1028,\cdot)$
Character field $\Q$
Dimension $160$
Sturm bound $522$

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Defining parameters

Level: \( N \) \(=\) \( 1911 = 3 \cdot 7^{2} \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 1911.e (of order \(2\) and degree \(1\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 21 \)
Character field: \(\Q\)
Sturm bound: \(522\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1911, [\chi])\).

Total New Old
Modular forms 276 160 116
Cusp forms 244 160 84
Eisenstein series 32 0 32

Trace form

\( 160 q - 160 q^{4} + 8 q^{9} + O(q^{10}) \) \( 160 q - 160 q^{4} + 8 q^{9} + 12 q^{15} + 192 q^{16} + 20 q^{18} + 24 q^{22} + 200 q^{25} - 36 q^{30} - 44 q^{36} - 32 q^{37} - 32 q^{43} - 40 q^{57} - 40 q^{58} + 48 q^{60} - 272 q^{64} + 64 q^{67} - 44 q^{72} - 20 q^{78} - 24 q^{81} - 56 q^{88} + 44 q^{93} - 116 q^{99} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{2}^{\mathrm{new}}(1911, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(1911, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(1911, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(147, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(273, [\chi])\)\(^{\oplus 2}\)