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Properties

Label 1122.2.y
Level $1122$
Weight $2$
Character orbit 1122.y
Rep. character $\chi_{1122}(23,\cdot)$
Character field $\Q(\zeta_{16})$
Dimension $480$
Sturm bound $432$

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Defining parameters

Level: \( N \) \(=\) \( 1122 = 2 \cdot 3 \cdot 11 \cdot 17 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 1122.y (of order \(16\) and degree \(8\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 51 \)
Character field: \(\Q(\zeta_{16})\)
Sturm bound: \(432\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1122, [\chi])\).

Total New Old
Modular forms 1792 480 1312
Cusp forms 1664 480 1184
Eisenstein series 128 0 128

Trace form

\( 480 q + O(q^{10}) \) \( 480 q + 96 q^{15} + 96 q^{21} + 64 q^{25} + 32 q^{37} - 96 q^{42} - 128 q^{45} - 64 q^{46} - 128 q^{51} - 160 q^{57} - 64 q^{58} + 96 q^{63} + 96 q^{75} + 128 q^{79} + 256 q^{82} + 192 q^{85} - 96 q^{87} - 64 q^{91} - 64 q^{93} + 128 q^{94} - 64 q^{97} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{2}^{\mathrm{new}}(1122, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(1122, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(1122, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(51, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(102, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(561, [\chi])\)\(^{\oplus 2}\)