Space of modular forms of level 23 and weight 25

• Label: 23.25
• Level: 23
• Weight: 25
• Dimension: 517
• Nonzero newspaces: 2
• Newform subspaces: 4
• Sturm bound: 1100
• Trace bound: 1

Defining parameters

Level:	\( N \)	=	\( 23 \)
Weight:	\( k \)	=	\( 25 \)
Nonzero newspaces:			\( 2 \)
Newform subspaces:			\( 4 \)
Sturm bound:			\(1100\)
Trace bound:			\(1\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{25}(\Gamma_1(23))\).

	Total	New	Old
Modular forms	539	539	0
Cusp forms	517	517	0
Eisenstein series	22	22	0

Trace form

517 * 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 - 800436024284523 * q^15 - 2335296108625931 * q^16 - 142943658137291 * q^17 + 9617267741818869 * q^18 - 4984581506002571 * q^19 + 31625125174444021 * q^20 - 26374255401061931 * q^21 + 59947459274197429 * q^23 - 490338334455889942 * q^24 + 235612232914265845 * q^25 - 110127563224842251 * q^26 - 540154406595840971 * q^27 + 2217672212930887669 * q^28 - 908813608243944491 * q^29 + 4485685379528916981 * q^30 - 1483300027379570411 * q^31 + 7423561284735467509 * q^32 - 7501094894633327691 * q^33 + 26123091298283901295 * q^34 + 19369214261718749989 * q^35 - 65521061172594786836 * q^36 + 63108404968659050869 * q^37 - 92165918921265264086 * q^38 + 51149986368545367061 * q^39 + 81939363966796874989 * q^40 - 79456909608691322411 * q^41 + 329488697687151395239 * q^42 + 137784834492002411989 * q^43 - 595395191417035971654 * q^44 + 1144528651104639320509 * q^46 - 273776068751144208502 * q^47 - 1683838604242654304467 * q^48 + 1171766308104949838677 * q^49 + 1941382884979248046864 * q^50 - 1746010337674620869291 * q^51 - 2678934933266948929661 * q^52 + 1749186518933984074549 * q^53 + 4472571923920978744317 * q^54 - 7770047442703882111787 * q^55 + 13097408759654225842528 * q^56 - 5654420596015814610251 * q^57 - 104306738182175624546 * q^58 + 552669515217694418533 * q^59 - 10558165123009589769541 * q^60 + 16522676211994540807285 * q^61 - 1277902590287958835211 * q^62 - 28158924553585382629611 * q^63 + 11648201837073458528245 * q^64 + 53945363833855230268213 * q^65 - 13341495806064133934688 * q^66 - 21915358203905170435211 * q^67 + 76647440769977813156949 * q^69 + 38570319600617185345514 * q^70 - 99518409259895816578091 * q^71 - 168330439313596616536502 * q^72 + 46068100745320824656629 * q^73 + 106118281018068503990740 * q^74 - 166766653537767241994123 * q^75 - 257480160777483254058074 * q^76 + 173026289483880321582709 * q^77 - 347329969198794648984621 * q^78 + 234924802817556210477877 * q^79 - 883810571198246620032962 * q^80 - 1127516818383986575180075 * q^81 + 565995640116820644947359 * q^82 - 67749481664961124754891 * q^83 + 547947373124904058930811 * q^84 - 1680838579520719122692507 * q^85 + 150450695895336919295587 * q^86 + 2423976176362035045347509 * q^87 + 1339945340235847693232445 * q^88 - 970858985408296745801051 * q^89 - 5942606524952304185455246 * q^90 + 3608138922177440782055914 * q^92 + 3479079723139524664960778 * q^93 - 2722346445722890557220672 * q^94 - 6918882501003034485341099 * q^95 - 3472547915088630902072648 * q^96 + 5099464459288890849256549 * q^97 + 8397242835824942647356589 * q^98 - 13644460322204206338338891 * q^99

Decomposition of \(S_{25}^{\mathrm{new}}(\Gamma_1(23))\)

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
23.25.b	\(\chi_{23}(22, \cdot)\)	23.25.b.a	1	1
		23.25.b.b	2
		23.25.b.c	44
23.25.d	\(\chi_{23}(5, \cdot)\)	23.25.d.a	470	10