Space of modular forms of level 25, weight 22, and Character 25.e

• Label: 25.22.e
• Level: $25$
• Weight: $22$
• Character orbit: 25.e
• Rep. character: $\chi_{25}(4,\cdot)$
• Character field: $\Q(\zeta_{10})$
• Dimension: $208$
• Sturm bound: $55$

Defining parameters

Level:	\( N \)	\(=\)	\( 25 = 5^{2} \)
Weight:	\( k \)	\(=\)	\( 22 \)
Character orbit:	\([\chi]\)	\(=\)	25.e (of order \(10\) and degree \(4\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 25 \)
Character field:			\(\Q(\zeta_{10})\)
Sturm bound:			\(55\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{22}(25, [\chi])\).

	Total	New	Old
Modular forms	216	216	0
Cusp forms	208	208	0
Eisenstein series	8	8	0

Trace form

208 * q - 5 * q^2 - 5 * q^3 + 54525949 * q^4 - 38342055 * q^5 - 125126659 * q^6 - 13594376990 * q^8 + 177984600401 * q^9 - 42469996285 * q^10 - 32003706229 * q^11 + 1281905131515 * q^12 - 5 * q^13 - 1040690645537 * q^14 + 8297813513655 * q^15 - 57860562361847 * q^16 + 14582120777115 * q^17 - 18863094226355 * q^19 - 72421048520605 * q^20 - 174289831941654 * q^21 + 704754944687750 * q^22 - 599839802536245 * q^23 - 1256661400825520 * q^24 - 623262763121535 * q^25 + 3985144593468306 * q^26 - 7301648431389005 * q^27 + 2725557819146235 * q^28 + 8354378342130245 * q^29 + 11583393192506155 * q^30 - 1331030265929559 * q^31 - 34464005007983365 * q^33 + 6439064561669613 * q^34 + 4580603693419510 * q^35 - 294620953232770227 * q^36 - 149694809364980220 * q^37 + 53876195231073015 * q^38 - 128483545671736553 * q^39 - 337783400915845990 * q^40 - 331213386459229929 * q^41 - 302329420477580515 * q^42 + 631811998414334748 * q^44 - 412169528033072625 * q^45 - 5725315814706719 * q^46 + 953015192015454625 * q^47 + 3132347890858640970 * q^48 - 16541188197371406436 * q^49 - 519152656000399915 * q^50 + 5055509747254178346 * q^51 - 818392089086521260 * q^52 - 4002666530128584510 * q^53 - 6396846631792605055 * q^54 + 6689592801581644205 * q^55 - 12612693790193499440 * q^56 - 9269133844867268230 * q^58 + 21185282254840555575 * q^59 + 54354068895779447960 * q^60 + 16203684048624005241 * q^61 - 54513918802960788280 * q^62 + 96721083125528141010 * q^63 + 60742203423288677004 * q^64 - 85335413838643906580 * q^65 + 22213085979185438962 * q^66 + 80915207782845563395 * q^67 + 12617612355046032467 * q^69 - 29933301774590468250 * q^70 - 96692478988940964119 * q^71 - 28668856207655217745 * q^72 + 14830939412193392515 * q^73 - 190613798063592846412 * q^74 + 110521784149454632565 * q^75 + 60162652015186468880 * q^76 + 158242996889512122510 * q^77 + 360356315885995398775 * q^78 + 120733291720076000615 * q^79 - 648676112609627497510 * q^80 - 423985246268113045497 * q^81 + 749056868714984783455 * q^83 - 63547033275714508782 * q^84 - 1189132250398387158670 * q^85 - 340926047767766785509 * q^86 + 639917836858520605355 * q^87 - 4571322419841092912770 * q^88 - 861524053463516160400 * q^89 + 4233138668466038330015 * q^90 - 542417259042223505294 * q^91 - 5132711823392254494470 * q^92 - 152986750604683351527 * q^94 - 2038499115308618642335 * q^95 + 146389647975535769816 * q^96 + 1662134523150834438565 * q^97 - 4213775332410632843260 * q^98 - 3337206909459971729208 * q^99

Decomposition of \(S_{22}^{\mathrm{new}}(25, [\chi])\) into newform subspaces

The newforms in this space have not yet been added to the LMFDB.