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Properties

Label 1872.2.ea
Level $1872$
Weight $2$
Character orbit 1872.ea
Rep. character $\chi_{1872}(197,\cdot)$
Character field $\Q(\zeta_{12})$
Dimension $448$
Sturm bound $672$

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Defining parameters

Level: \( N \) \(=\) \( 1872 = 2^{4} \cdot 3^{2} \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 1872.ea (of order \(12\) and degree \(4\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 624 \)
Character field: \(\Q(\zeta_{12})\)
Sturm bound: \(672\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1872, [\chi])\).

Total New Old
Modular forms 1376 448 928
Cusp forms 1312 448 864
Eisenstein series 64 0 64

Trace form

\( 448 q + O(q^{10}) \) \( 448 q + 16 q^{10} - 16 q^{22} - 448 q^{25} - 24 q^{28} + 24 q^{34} + 80 q^{40} - 32 q^{43} - 8 q^{46} - 40 q^{52} + 128 q^{58} + 96 q^{64} + 136 q^{70} + 72 q^{76} - 136 q^{82} - 48 q^{91} + 24 q^{94} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{2}^{\mathrm{new}}(1872, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(1872, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(1872, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(624, [\chi])\)\(^{\oplus 2}\)