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Properties

Label 2646.2.y
Level $2646$
Weight $2$
Character orbit 2646.y
Rep. character $\chi_{2646}(377,\cdot)$
Character field $\Q(\zeta_{14})$
Dimension $456$
Sturm bound $1008$

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Defining parameters

Level: \( N \) \(=\) \( 2646 = 2 \cdot 3^{3} \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2646.y (of order \(14\) and degree \(6\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 147 \)
Character field: \(\Q(\zeta_{14})\)
Sturm bound: \(1008\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2646, [\chi])\).

Total New Old
Modular forms 3096 456 2640
Cusp forms 2952 456 2496
Eisenstein series 144 0 144

Trace form

\( 456 q + 76 q^{4} - 6 q^{7} + O(q^{10}) \) \( 456 q + 76 q^{4} - 6 q^{7} - 76 q^{16} - 10 q^{22} - 80 q^{25} + 6 q^{28} - 8 q^{37} - 14 q^{40} + 64 q^{43} - 86 q^{49} + 28 q^{52} + 112 q^{55} - 100 q^{58} + 76 q^{64} + 16 q^{67} + 4 q^{70} - 24 q^{79} - 128 q^{85} - 4 q^{88} - 188 q^{91} - 224 q^{94} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{2}^{\mathrm{new}}(2646, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(2646, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(2646, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(147, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(294, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(441, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(882, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1323, [\chi])\)\(^{\oplus 2}\)