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Properties

Label 1260.2.dv
Level $1260$
Weight $2$
Character orbit 1260.dv
Rep. character $\chi_{1260}(227,\cdot)$
Character field $\Q(\zeta_{12})$
Dimension $1120$
Sturm bound $576$

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Defining parameters

Level: \( N \) \(=\) \( 1260 = 2^{2} \cdot 3^{2} \cdot 5 \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 1260.dv (of order \(12\) and degree \(4\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1260 \)
Character field: \(\Q(\zeta_{12})\)
Sturm bound: \(576\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1260, [\chi])\).

Total New Old
Modular forms 1184 1184 0
Cusp forms 1120 1120 0
Eisenstein series 64 64 0

Trace form

\( 1120 q - 12 q^{5} + O(q^{10}) \) \( 1120 q - 12 q^{5} - 12 q^{10} - 6 q^{12} - 8 q^{16} - 18 q^{18} - 8 q^{21} - 12 q^{22} + 4 q^{25} - 16 q^{28} - 2 q^{30} - 12 q^{33} - 8 q^{37} - 6 q^{38} - 6 q^{40} + 4 q^{42} - 12 q^{45} - 8 q^{46} + 18 q^{48} - 12 q^{50} + 42 q^{52} - 12 q^{56} - 24 q^{57} - 6 q^{58} + 10 q^{60} - 24 q^{62} - 12 q^{66} - 6 q^{68} - 22 q^{70} + 22 q^{72} - 24 q^{73} - 48 q^{76} - 12 q^{77} - 2 q^{78} + 72 q^{81} - 8 q^{85} - 120 q^{86} + 18 q^{88} - 12 q^{92} - 52 q^{93} - 96 q^{96} - 12 q^{98} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{2}^{\mathrm{new}}(1260, [\chi])\) into newform subspaces

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