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Properties

Label 2254.2.e
Level $2254$
Weight $2$
Character orbit 2254.e
Rep. character $\chi_{2254}(1059,\cdot)$
Character field $\Q(\zeta_{3})$
Dimension $144$
Sturm bound $672$

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Defining parameters

Level: \( N \) \(=\) \( 2254 = 2 \cdot 7^{2} \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2254.e (of order \(3\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 7 \)
Character field: \(\Q(\zeta_{3})\)
Sturm bound: \(672\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2254, [\chi])\).

Total New Old
Modular forms 704 144 560
Cusp forms 640 144 496
Eisenstein series 64 0 64

Trace form

\( 144 q - 72 q^{4} + 8 q^{6} - 84 q^{9} + 4 q^{10} - 16 q^{11} - 72 q^{16} + 16 q^{17} - 16 q^{22} - 4 q^{24} - 60 q^{25} - 12 q^{26} + 24 q^{27} + 16 q^{29} + 12 q^{30} - 4 q^{31} + 24 q^{33} + 168 q^{36}+ \cdots + 128 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Decomposition of \(S_{2}^{\mathrm{new}}(2254, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(2254, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(2254, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(49, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(98, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(161, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(322, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1127, [\chi])\)\(^{\oplus 2}\)