Properties

Label 2340.2.ei
Level $2340$
Weight $2$
Character orbit 2340.ei
Rep. character $\chi_{2340}(323,\cdot)$
Character field $\Q(\zeta_{12})$
Dimension $672$
Sturm bound $1008$

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Defining parameters

Level: \( N \) \(=\) \( 2340 = 2^{2} \cdot 3^{2} \cdot 5 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2340.ei (of order \(12\) and degree \(4\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 780 \)
Character field: \(\Q(\zeta_{12})\)
Sturm bound: \(1008\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2340, [\chi])\).

Total New Old
Modular forms 2080 672 1408
Cusp forms 1952 672 1280
Eisenstein series 128 0 128

Trace form

\( 672 q + O(q^{10}) \) \( 672 q + 16 q^{22} + 24 q^{37} - 48 q^{40} - 336 q^{49} - 40 q^{52} + 144 q^{58} + 56 q^{70} - 16 q^{82} + 8 q^{85} + 128 q^{88} + O(q^{100}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(2340, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(2340, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(2340, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(780, [\chi])\)\(^{\oplus 2}\)