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Properties

Label 1911.2.u
Level $1911$
Weight $2$
Character orbit 1911.u
Rep. character $\chi_{1911}(881,\cdot)$
Character field $\Q(\zeta_{6})$
Dimension $356$
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.u (of order \(6\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 273 \)
Character field: \(\Q(\zeta_{6})\)
Sturm bound: \(522\)

Dimensions

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

Total New Old
Modular forms 556 388 168
Cusp forms 492 356 136
Eisenstein series 64 32 32

Trace form

\( 356 q - 164 q^{4} - 2 q^{9} + O(q^{10}) \) \( 356 q - 164 q^{4} - 2 q^{9} - 42 q^{15} - 136 q^{16} - 36 q^{22} - 268 q^{25} - 60 q^{30} - 52 q^{36} + 54 q^{37} + 30 q^{39} - 24 q^{43} + 96 q^{46} - 40 q^{51} + 84 q^{58} + 40 q^{64} - 6 q^{67} + 102 q^{72} - 182 q^{78} + 132 q^{79} + 70 q^{81} - 204 q^{85} - 12 q^{88} + 90 q^{93} + O(q^{100}) \)

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

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