↑

Properties

Label 383.2
Level 383
Weight 2
Dimension 5922
Nonzero newspaces 2
Newform subspaces 4
Sturm bound 24448
Trace bound 1

Downloads

Learn more

Defining parameters

Level: \( N \) = \( 383 \)
Weight: \( k \) = \( 2 \)
Nonzero newspaces: \( 2 \)
Newform subspaces: \( 4 \)
Sturm bound: \(24448\)
Trace bound: \(1\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_1(383))\).

Total New Old
Modular forms 6303 6303 0
Cusp forms 5922 5922 0
Eisenstein series 381 381 0

Trace form

\( 5922 q - 188 q^{2} - 187 q^{3} - 184 q^{4} - 185 q^{5} - 179 q^{6} - 183 q^{7} - 176 q^{8} - 178 q^{9} + O(q^{10}) \) \( 5922 q - 188 q^{2} - 187 q^{3} - 184 q^{4} - 185 q^{5} - 179 q^{6} - 183 q^{7} - 176 q^{8} - 178 q^{9} - 173 q^{10} - 179 q^{11} - 163 q^{12} - 177 q^{13} - 167 q^{14} - 167 q^{15} - 160 q^{16} - 173 q^{17} - 152 q^{18} - 171 q^{19} - 149 q^{20} - 159 q^{21} - 155 q^{22} - 167 q^{23} - 131 q^{24} - 160 q^{25} - 149 q^{26} - 151 q^{27} - 135 q^{28} - 161 q^{29} - 119 q^{30} - 159 q^{31} - 128 q^{32} - 143 q^{33} - 137 q^{34} - 143 q^{35} - 100 q^{36} - 153 q^{37} - 131 q^{38} - 135 q^{39} - 101 q^{40} - 149 q^{41} - 95 q^{42} - 147 q^{43} - 107 q^{44} - 113 q^{45} - 119 q^{46} - 143 q^{47} - 67 q^{48} - 134 q^{49} - 98 q^{50} - 119 q^{51} - 93 q^{52} - 137 q^{53} - 71 q^{54} - 119 q^{55} - 71 q^{56} - 111 q^{57} - 101 q^{58} - 131 q^{59} - 23 q^{60} - 129 q^{61} - 95 q^{62} - 87 q^{63} - 64 q^{64} - 107 q^{65} - 47 q^{66} - 123 q^{67} - 65 q^{68} - 95 q^{69} - 47 q^{70} - 119 q^{71} + 4 q^{72} - 117 q^{73} - 77 q^{74} - 67 q^{75} - 51 q^{76} - 95 q^{77} - 23 q^{78} - 111 q^{79} - 5 q^{80} - 70 q^{81} - 65 q^{82} - 107 q^{83} + 33 q^{84} - 83 q^{85} - 59 q^{86} - 71 q^{87} - 11 q^{88} - 101 q^{89} + 43 q^{90} - 79 q^{91} - 23 q^{92} - 63 q^{93} - 47 q^{94} - 71 q^{95} + 61 q^{96} - 93 q^{97} - 20 q^{98} - 35 q^{99} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_1(383))\)

We only show spaces with even parity, since no modular forms exist when this condition is not satisfied. Within each space \( S_k^{\mathrm{new}}(N, \chi) \) we list available newforms together with their dimension.

Label \(\chi\) Newforms Dimension \(\chi\) degree
383.2.a \(\chi_{383}(1, \cdot)\) 383.2.a.a 2 1
383.2.a.b 6
383.2.a.c 24
383.2.c \(\chi_{383}(2, \cdot)\) 383.2.c.a 5890 190