Properties

Label 1148.2.l
Level $1148$
Weight $2$
Character orbit 1148.l
Rep. character $\chi_{1148}(419,\cdot)$
Character field $\Q(\zeta_{4})$
Dimension $328$
Sturm bound $336$

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Defining parameters

Level: \( N \) \(=\) \( 1148 = 2^{2} \cdot 7 \cdot 41 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 1148.l (of order \(4\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1148 \)
Character field: \(\Q(i)\)
Sturm bound: \(336\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1148, [\chi])\).

Total New Old
Modular forms 344 344 0
Cusp forms 328 328 0
Eisenstein series 16 16 0

Trace form

\( 328q - 8q^{4} + O(q^{10}) \) \( 328q - 8q^{4} - 12q^{14} - 8q^{16} + 8q^{18} - 36q^{22} + 280q^{25} + 10q^{28} + 8q^{29} - 64q^{30} - 16q^{37} - 36q^{42} + 12q^{44} - 8q^{53} - 32q^{56} - 16q^{57} - 24q^{58} + 40q^{60} + 16q^{64} - 64q^{65} - 66q^{70} - 36q^{72} - 84q^{78} - 120q^{81} - 32q^{85} - 24q^{86} + 56q^{88} - 76q^{92} - 48q^{93} - 44q^{98} + O(q^{100}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(1148, [\chi])\) into newform subspaces

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