Properties

 Label 23.7 Level 23 Weight 7 Dimension 121 Nonzero newspaces 2 Newform subspaces 4 Sturm bound 308 Trace bound 1

Defining parameters

 Level: $$N$$ = $$23$$ Weight: $$k$$ = $$7$$ Nonzero newspaces: $$2$$ Newform subspaces: $$4$$ Sturm bound: $$308$$ Trace bound: $$1$$

Dimensions

The following table gives the dimensions of various subspaces of $$M_{7}(\Gamma_1(23))$$.

Total New Old
Modular forms 143 143 0
Cusp forms 121 121 0
Eisenstein series 22 22 0

Trace form

 $$121 q - 11 q^{2} - 11 q^{3} - 11 q^{4} - 11 q^{5} - 11 q^{6} - 11 q^{7} - 11 q^{8} - 11 q^{9} + O(q^{10})$$ $$121 q - 11 q^{2} - 11 q^{3} - 11 q^{4} - 11 q^{5} - 11 q^{6} - 11 q^{7} - 11 q^{8} - 11 q^{9} - 11 q^{10} - 11 q^{11} - 11 q^{12} - 11 q^{13} - 11 q^{14} + 10461 q^{15} - 31691 q^{16} - 11451 q^{17} + 13365 q^{18} + 15829 q^{19} + 78837 q^{20} + 40909 q^{21} - 32923 q^{23} - 179542 q^{24} - 69707 q^{25} - 54571 q^{26} - 18491 q^{27} + 101365 q^{28} + 58509 q^{29} + 311157 q^{30} + 59389 q^{31} - 59851 q^{32} - 234267 q^{33} + 400015 q^{34} - 71511 q^{35} - 601436 q^{36} - 446699 q^{37} - 275286 q^{38} + 64141 q^{39} + 626989 q^{40} + 235389 q^{41} + 1274119 q^{42} + 428989 q^{43} + 434434 q^{44} - 542531 q^{46} - 518430 q^{47} - 1390675 q^{48} - 1141283 q^{49} - 1203136 q^{50} - 463331 q^{51} - 247181 q^{52} + 183909 q^{53} + 3219117 q^{54} + 1417405 q^{55} + 175560 q^{56} + 78661 q^{57} - 970706 q^{58} - 1638087 q^{59} - 2858581 q^{60} + 495253 q^{61} + 1544389 q^{62} + 1713789 q^{63} + 2973685 q^{64} + 2406085 q^{65} + 2124936 q^{66} + 290389 q^{67} - 770451 q^{69} - 2392918 q^{70} - 2086931 q^{71} - 5921630 q^{72} - 1024331 q^{73} - 1038180 q^{74} + 1483669 q^{75} - 1754258 q^{76} - 2268651 q^{77} - 6512781 q^{78} - 833723 q^{79} + 2796838 q^{80} + 138413 q^{81} + 3609199 q^{82} + 2924229 q^{83} + 6932651 q^{84} + 4488385 q^{85} + 1596771 q^{86} + 9184549 q^{87} + 5363325 q^{88} + 2950849 q^{89} + 5004362 q^{90} - 2477486 q^{92} - 6461422 q^{93} - 6892600 q^{94} - 3255219 q^{95} - 13057616 q^{96} - 6375215 q^{97} - 11621907 q^{98} - 16096091 q^{99} + O(q^{100})$$

Decomposition of $$S_{7}^{\mathrm{new}}(\Gamma_1(23))$$

We only show spaces with odd 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
23.7.b $$\chi_{23}(22, \cdot)$$ 23.7.b.a 1 1
23.7.b.b 2
23.7.b.c 8
23.7.d $$\chi_{23}(5, \cdot)$$ 23.7.d.a 110 10