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Properties

Label 23.14
Level 23
Weight 14
Dimension 275
Nonzero newspaces 2
Newform subspaces 3
Sturm bound 616
Trace bound 1

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Defining parameters

Level: \( N \) = \( 23 \)
Weight: \( k \) = \( 14 \)
Nonzero newspaces: \( 2 \)
Newform subspaces: \( 3 \)
Sturm bound: \(616\)
Trace bound: \(1\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{14}(\Gamma_1(23))\).

Total New Old
Modular forms 297 295 2
Cusp forms 275 275 0
Eisenstein series 22 20 2

Trace form

\( 275 q - 11 q^{2} - 11 q^{3} - 11 q^{4} - 11 q^{5} - 11 q^{6} - 11 q^{7} - 11 q^{8} - 11 q^{9} + O(q^{10}) \) \( 275 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} + 148200338 q^{15} - 16310283 q^{16} + 192601530 q^{17} - 1688724235 q^{18} + 79869218 q^{19} + 2825732085 q^{20} - 424226924 q^{21} - 2494357910 q^{22} - 692187793 q^{23} + 11491713002 q^{24} + 3843623487 q^{25} - 3718090123 q^{26} - 14158771748 q^{27} - 454344715 q^{28} + 8387911818 q^{29} + 16177444085 q^{30} - 15674681902 q^{31} - 2213961739 q^{32} + 30380499578 q^{33} + 97411243083 q^{34} - 65556218761 q^{35} - 5290495166 q^{36} + 149163806825 q^{37} - 920709856 q^{38} - 171837450983 q^{39} - 211927375011 q^{40} + 60540413087 q^{41} + 617219302579 q^{42} + 114615531833 q^{43} - 311724661204 q^{44} - 548048531272 q^{45} - 479988503379 q^{46} + 156365115214 q^{47} + 1051710299805 q^{48} + 772960069651 q^{49} + 18798828114 q^{50} - 680639536775 q^{51} - 2372654083921 q^{52} - 167958570769 q^{53} + 3186221185389 q^{54} + 1308799487347 q^{55} - 2383229196634 q^{56} - 1393741884392 q^{57} - 793003934492 q^{58} + 2204152667211 q^{59} - 3711663397321 q^{60} - 2461598122423 q^{61} - 1462535209355 q^{62} + 1884090229494 q^{63} + 6181665898485 q^{64} + 4487114071352 q^{65} + 245187312612 q^{66} - 1396807952529 q^{67} - 13050507706390 q^{68} - 4214805207426 q^{69} - 138432414230 q^{70} + 4910901925974 q^{71} + 18900456859108 q^{72} + 2620507052031 q^{73} - 9391545396376 q^{74} + 9251698762548 q^{75} - 31937509959190 q^{76} - 22944706975102 q^{77} + 8259807353435 q^{78} + 24135999166653 q^{79} + 61101354798770 q^{80} - 73534217515 q^{81} - 30476288671081 q^{82} - 33908407419744 q^{83} - 37788882599853 q^{84} + 36457100133817 q^{85} + 43333180521323 q^{86} + 55396119550321 q^{87} + 20457751454173 q^{88} - 6236468392517 q^{89} - 86101714939922 q^{90} - 49972494179630 q^{91} - 46816862624642 q^{92} - 18766195555690 q^{93} + 29980916685588 q^{94} + 51835742105290 q^{95} + 238720413486324 q^{96} + 5919042563962 q^{97} - 61299894329267 q^{98} - 92009686159358 q^{99} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{14}^{\mathrm{new}}(\Gamma_1(23))\)

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
23.14.a \(\chi_{23}(1, \cdot)\) 23.14.a.a 11 1
23.14.a.b 14
23.14.c \(\chi_{23}(2, \cdot)\) 23.14.c.a 250 10