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Properties

Label 2640.2.ev
Level $2640$
Weight $2$
Character orbit 2640.ev
Rep. character $\chi_{2640}(763,\cdot)$
Character field $\Q(\zeta_{20})$
Dimension $2304$
Sturm bound $1152$

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Defining parameters

Level: \( N \) \(=\) \( 2640 = 2^{4} \cdot 3 \cdot 5 \cdot 11 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2640.ev (of order \(20\) and degree \(8\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 880 \)
Character field: \(\Q(\zeta_{20})\)
Sturm bound: \(1152\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2640, [\chi])\).

Total New Old
Modular forms 4672 2304 2368
Cusp forms 4544 2304 2240
Eisenstein series 128 0 128

Trace form

\( 2304 q + 576 q^{9} + O(q^{10}) \) \( 2304 q + 576 q^{9} + 16 q^{12} - 12 q^{22} - 24 q^{30} + 40 q^{32} + 64 q^{34} + 56 q^{38} + 124 q^{40} - 64 q^{43} - 192 q^{44} - 44 q^{50} - 24 q^{52} + 96 q^{56} - 80 q^{58} - 32 q^{59} - 40 q^{62} + 24 q^{66} + 32 q^{68} + 88 q^{70} + 64 q^{71} - 48 q^{75} + 96 q^{78} - 96 q^{80} - 576 q^{81} - 16 q^{82} - 48 q^{84} - 16 q^{86} - 12 q^{88} + 32 q^{91} - 20 q^{92} + 48 q^{94} + 240 q^{95} + 464 q^{98} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{2}^{\mathrm{new}}(2640, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(2640, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(2640, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(880, [\chi])\)\(^{\oplus 2}\)