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Properties

Label 2805.2.dv
Level $2805$
Weight $2$
Character orbit 2805.dv
Rep. character $\chi_{2805}(137,\cdot)$
Character field $\Q(\zeta_{20})$
Dimension $3072$
Sturm bound $864$

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Defining parameters

Level: \( N \) \(=\) \( 2805 = 3 \cdot 5 \cdot 11 \cdot 17 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2805.dv (of order \(20\) and degree \(8\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 165 \)
Character field: \(\Q(\zeta_{20})\)
Sturm bound: \(864\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2805, [\chi])\).

Total New Old
Modular forms 3520 3072 448
Cusp forms 3392 3072 320
Eisenstein series 128 0 128

Trace form

\( 3072 q + 4 q^{3} + 16 q^{7} + O(q^{10}) \) \( 3072 q + 4 q^{3} + 16 q^{7} + 16 q^{10} + 64 q^{12} - 8 q^{13} + 16 q^{15} + 768 q^{16} - 24 q^{22} + 24 q^{25} + 16 q^{27} - 72 q^{28} - 104 q^{33} + 96 q^{36} - 24 q^{37} - 32 q^{40} - 64 q^{42} + 32 q^{43} + 64 q^{45} - 40 q^{48} - 96 q^{52} - 8 q^{55} - 96 q^{57} - 216 q^{58} - 16 q^{60} - 40 q^{63} + 8 q^{66} - 128 q^{67} - 24 q^{70} + 72 q^{73} + 80 q^{75} + 48 q^{76} - 32 q^{78} - 104 q^{81} - 48 q^{82} + 64 q^{87} + 392 q^{88} + 96 q^{90} - 128 q^{91} + 28 q^{93} - 296 q^{96} + 136 q^{97} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{2}^{\mathrm{new}}(2805, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(2805, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(2805, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(165, [\chi])\)\(^{\oplus 2}\)