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Properties

Label 1155.2.t
Level $1155$
Weight $2$
Character orbit 1155.t
Rep. character $\chi_{1155}(692,\cdot)$
Character field $\Q(\zeta_{4})$
Dimension $368$
Sturm bound $384$

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Defining parameters

Level: \( N \) \(=\) \( 1155 = 3 \cdot 5 \cdot 7 \cdot 11 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 1155.t (of order \(4\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1155 \)
Character field: \(\Q(i)\)
Sturm bound: \(384\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1155, [\chi])\).

Total New Old
Modular forms 400 400 0
Cusp forms 368 368 0
Eisenstein series 32 32 0

Trace form

\( 368 q + O(q^{10}) \) \( 368 q - 8 q^{15} - 352 q^{16} - 40 q^{22} - 32 q^{25} + 80 q^{36} - 32 q^{37} + 8 q^{42} - 72 q^{58} - 24 q^{60} - 48 q^{67} + 56 q^{70} - 64 q^{78} - 8 q^{81} + 24 q^{88} - 64 q^{91} + 48 q^{93} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{2}^{\mathrm{new}}(1155, [\chi])\) into newform subspaces

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