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Properties

Label 1911.2.bn
Level $1911$
Weight $2$
Character orbit 1911.bn
Rep. character $\chi_{1911}(146,\cdot)$
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.bn (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

\( 356 q + 172 q^{4} + 6 q^{9} + O(q^{10}) \) \( 356 q + 172 q^{4} + 6 q^{9} + 22 q^{15} - 152 q^{16} - 40 q^{18} + 20 q^{22} + 300 q^{25} - 20 q^{36} + 22 q^{37} - 26 q^{39} - 8 q^{43} - 16 q^{46} + 72 q^{51} + 44 q^{57} - 20 q^{58} + 36 q^{60} - 264 q^{64} + 82 q^{67} - 126 q^{72} - 14 q^{78} - 36 q^{79} + 6 q^{81} - 52 q^{85} - 44 q^{88} - 6 q^{93} - 4 q^{99} + O(q^{100}) \)

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

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