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Properties

Label 1232.2.ct
Level $1232$
Weight $2$
Character orbit 1232.ct
Rep. character $\chi_{1232}(27,\cdot)$
Character field $\Q(\zeta_{20})$
Dimension $1504$
Sturm bound $384$

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Defining parameters

Level: \( N \) \(=\) \( 1232 = 2^{4} \cdot 7 \cdot 11 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 1232.ct (of order \(20\) and degree \(8\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1232 \)
Character field: \(\Q(\zeta_{20})\)
Sturm bound: \(384\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1232, [\chi])\).

Total New Old
Modular forms 1568 1568 0
Cusp forms 1504 1504 0
Eisenstein series 64 64 0

Trace form

\( 1504 q - 12 q^{2} - 16 q^{4} - 12 q^{7} - 12 q^{8} + O(q^{10}) \) \( 1504 q - 12 q^{2} - 16 q^{4} - 12 q^{7} - 12 q^{8} - 12 q^{11} - 6 q^{14} + 8 q^{16} + 2 q^{18} - 28 q^{21} + 78 q^{22} - 80 q^{23} + 34 q^{28} + 4 q^{29} - 28 q^{30} - 32 q^{32} - 26 q^{35} - 44 q^{36} - 36 q^{37} - 24 q^{39} - 10 q^{42} - 40 q^{43} - 62 q^{44} - 36 q^{46} - 12 q^{49} - 56 q^{50} - 36 q^{51} - 36 q^{53} - 68 q^{56} - 32 q^{58} + 148 q^{60} + 104 q^{64} - 64 q^{65} + 8 q^{67} + 28 q^{70} - 88 q^{71} - 106 q^{72} - 72 q^{74} + 6 q^{77} - 160 q^{78} + 288 q^{81} + 96 q^{84} - 52 q^{85} - 86 q^{86} - 50 q^{88} + 54 q^{91} - 146 q^{92} + 12 q^{93} + 168 q^{98} + 16 q^{99} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{2}^{\mathrm{new}}(1232, [\chi])\) into newform subspaces

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