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Properties

Label 1848.2.u
Level $1848$
Weight $2$
Character orbit 1848.u
Rep. character $\chi_{1848}(155,\cdot)$
Character field $\Q$
Dimension $240$
Sturm bound $768$

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Defining parameters

Level: \( N \) \(=\) \( 1848 = 2^{3} \cdot 3 \cdot 7 \cdot 11 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 1848.u (of order \(2\) and degree \(1\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 24 \)
Character field: \(\Q\)
Sturm bound: \(768\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1848, [\chi])\).

Total New Old
Modular forms 392 240 152
Cusp forms 376 240 136
Eisenstein series 16 0 16

Trace form

\( 240 q - 8 q^{4} + 12 q^{6} + O(q^{10}) \) \( 240 q - 8 q^{4} + 12 q^{6} + 8 q^{10} + 12 q^{12} - 8 q^{16} - 16 q^{18} + 32 q^{19} - 28 q^{24} + 240 q^{25} + 48 q^{27} - 8 q^{30} + 48 q^{34} + 8 q^{36} + 56 q^{40} + 20 q^{42} + 64 q^{46} - 12 q^{48} - 240 q^{49} - 72 q^{52} + 52 q^{54} + 84 q^{58} - 100 q^{60} - 116 q^{64} + 12 q^{70} - 8 q^{72} + 112 q^{75} + 64 q^{76} - 36 q^{78} - 72 q^{82} - 28 q^{84} - 12 q^{88} + 80 q^{90} + 16 q^{94} - 12 q^{96} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{2}^{\mathrm{new}}(1848, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(1848, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(1848, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(24, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(168, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(264, [\chi])\)\(^{\oplus 2}\)