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Properties

Label 2520.2.iw
Level $2520$
Weight $2$
Character orbit 2520.iw
Rep. character $\chi_{2520}(83,\cdot)$
Character field $\Q(\zeta_{12})$
Dimension $2272$
Sturm bound $1152$

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Defining parameters

Level: \( N \) \(=\) \( 2520 = 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2520.iw (of order \(12\) and degree \(4\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 2520 \)
Character field: \(\Q(\zeta_{12})\)
Sturm bound: \(1152\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2520, [\chi])\).

Total New Old
Modular forms 2336 2336 0
Cusp forms 2272 2272 0
Eisenstein series 64 64 0

Trace form

\( 2272 q - 12 q^{2} + O(q^{10}) \) \( 2272 q - 12 q^{2} - 48 q^{11} - 8 q^{16} - 20 q^{22} - 8 q^{25} + 8 q^{28} - 48 q^{30} - 72 q^{32} - 48 q^{36} + 6 q^{42} - 8 q^{43} - 32 q^{46} - 12 q^{50} - 32 q^{51} - 96 q^{56} - 64 q^{57} - 20 q^{58} - 32 q^{60} - 24 q^{65} - 8 q^{67} + 18 q^{70} - 52 q^{72} - 92 q^{78} - 64 q^{81} + 192 q^{86} + 28 q^{88} - 32 q^{91} - 12 q^{92} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{2}^{\mathrm{new}}(2520, [\chi])\) into newform subspaces

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