Properties

Label 23.4.c
Level 23
Weight 4
Character orbit c
Rep. character \(\chi_{23}(2,\cdot)\)
Character field \(\Q(\zeta_{11})\)
Dimension 50
Newform subspaces 1
Sturm bound 8
Trace bound 0

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Defining parameters

Level: \( N \) \(=\) \( 23 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 23.c (of order \(11\) and degree \(10\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 23 \)
Character field: \(\Q(\zeta_{11})\)
Newform subspaces: \( 1 \)
Sturm bound: \(8\)
Trace bound: \(0\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{4}(23, [\chi])\).

Total New Old
Modular forms 70 70 0
Cusp forms 50 50 0
Eisenstein series 20 20 0

Trace form

\( 50q - 11q^{2} - 13q^{3} - 27q^{4} - 19q^{5} - 4q^{6} - 19q^{7} + 28q^{8} + 24q^{9} + O(q^{10}) \) \( 50q - 11q^{2} - 13q^{3} - 27q^{4} - 19q^{5} - 4q^{6} - 19q^{7} + 28q^{8} + 24q^{9} + 47q^{10} - 53q^{11} + 36q^{12} - 65q^{13} + 117q^{14} - 425q^{15} - 499q^{16} - 117q^{17} + 24q^{18} + 73q^{19} + 529q^{20} + 429q^{21} + 310q^{22} + 542q^{23} + 1606q^{24} + 246q^{25} + 324q^{26} + 65q^{27} - 677q^{28} - 497q^{29} - 1041q^{30} - 471q^{31} - 915q^{32} - 391q^{33} - 2751q^{34} - 737q^{35} - 1865q^{36} - 1071q^{37} - 1504q^{38} + 127q^{39} + 1479q^{40} + 569q^{41} + 3059q^{42} + 1615q^{43} + 2518q^{44} + 2768q^{45} + 4041q^{46} + 2904q^{47} + 2702q^{48} + 1226q^{49} + 1322q^{50} + 589q^{51} - 2156q^{52} + 391q^{53} - 5862q^{54} - 3323q^{55} - 7028q^{56} - 7623q^{57} - 5639q^{58} - 2445q^{59} - 3157q^{60} - 1059q^{61} + 1468q^{62} + 3155q^{63} + 4570q^{64} + 2641q^{65} + 5206q^{66} + 27q^{67} + 8350q^{68} + 4005q^{69} + 9702q^{70} + 3465q^{71} + 5629q^{72} + 435q^{73} - 994q^{74} - 7819q^{75} - 3598q^{76} - 5931q^{77} - 8996q^{78} - 2559q^{79} - 14052q^{80} - 4788q^{81} - 3822q^{82} - 3967q^{83} - 8427q^{84} + 299q^{85} + 721q^{86} + 8363q^{87} + 5825q^{88} + 3717q^{89} + 16742q^{90} + 7238q^{91} + 9550q^{92} + 12750q^{93} + 6035q^{94} + 4551q^{95} + 2493q^{96} - 2419q^{97} - 5687q^{98} - 755q^{99} + O(q^{100}) \)

Decomposition of \(S_{4}^{\mathrm{new}}(23, [\chi])\) into newform subspaces

Label Dim. \(A\) Field CM Traces $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
23.4.c.a \(50\) \(1.357\) None \(-11\) \(-13\) \(-19\) \(-19\)

Hecke characteristic polynomials

There are no characteristic polynomials of Hecke operators in the database