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Properties

Label 1260.2.eo
Level $1260$
Weight $2$
Character orbit 1260.eo
Rep. character $\chi_{1260}(47,\cdot)$
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.eo (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

\( 1120 q - 6 q^{2} - 24 q^{5} + O(q^{10}) \) \( 1120 q - 6 q^{2} - 24 q^{5} - 12 q^{10} - 6 q^{12} + 4 q^{16} + 6 q^{18} - 32 q^{21} - 12 q^{22} - 8 q^{25} - 16 q^{28} + 28 q^{30} - 66 q^{32} - 12 q^{33} - 8 q^{37} - 12 q^{38} + 10 q^{42} - 12 q^{45} - 8 q^{46} - 18 q^{48} - 12 q^{50} - 96 q^{56} - 24 q^{57} + 12 q^{58} + 34 q^{60} - 24 q^{61} + 24 q^{62} - 60 q^{65} - 84 q^{66} - 12 q^{68} + 38 q^{70} - 38 q^{72} - 24 q^{73} + 48 q^{76} - 12 q^{77} - 2 q^{78} - 48 q^{81} - 8 q^{85} - 36 q^{88} - 12 q^{92} + 20 q^{93} - 12 q^{96} + 12 q^{98} + O(q^{100}) \)

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.