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

• Label: 25.22.d
• Level: $25$
• Weight: $22$
• Character orbit: 25.d
• Rep. character: $\chi_{25}(6,\cdot)$
• Character field: $\Q(\zeta_{5})$
• Dimension: $204$
• Sturm bound: $55$

Defining parameters

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

Dimensions

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

	Total	New	Old
Modular forms	212	212	0
Cusp forms	204	204	0
Eisenstein series	8	8	0

Trace form

204 * q - 1027 * q^2 + 122249 * q^3 - 51380227 * q^4 + 32111440 * q^5 + 125126653 * q^6 + 339127248 * q^7 + 4939595020 * q^8 - 167207055298 * q^9 - 34997875155 * q^10 + 32003706223 * q^11 - 1297634166197 * q^12 + 103886481009 * q^13 - 1040703228449 * q^14 - 5841609281175 * q^15 - 48792065532431 * q^16 + 7744024950433 * q^17 + 11151392926704 * q^18 - 18863094226355 * q^19 + 207139431195495 * q^20 + 174289831941648 * q^21 - 339701093973464 * q^22 + 844783239481489 * q^23 - 1256619551024100 * q^24 + 1668344506257970 * q^25 - 4758474041619362 * q^26 + 1406189266503155 * q^27 - 164664846790149 * q^28 + 7737110897507455 * q^29 - 34083508618009365 * q^30 + 1331030265929553 * q^31 + 40587203357871318 * q^32 + 8264102374314683 * q^33 - 6053295463411219 * q^34 - 21435735875423710 * q^35 - 45384189507042131 * q^36 + 125348963607425643 * q^37 + 71562277977526605 * q^38 - 128483503830323741 * q^39 + 578751263689660530 * q^40 + 325646227292149133 * q^41 - 997410899273795299 * q^42 + 818887451097386244 * q^43 + 631811998422723356 * q^44 - 2588511400533999250 * q^45 + 5725315814706713 * q^46 + 827893741127735823 * q^47 - 2779964811328646006 * q^48 + 12503196734959361928 * q^49 - 187221583263346835 * q^50 - 5055509747254178362 * q^51 + 2864821179214209288 * q^52 - 4950614908109551491 * q^53 - 6396846694546335665 * q^54 + 7697979054172856785 * q^55 + 12612711382379543850 * q^56 - 30891894905672828210 * q^57 - 7460512223327866610 * q^58 + 21185282254840555575 * q^59 + 6551151315147340410 * q^60 - 6181560339923044037 * q^61 - 36627858340056586744 * q^62 + 32072330174834311394 * q^63 - 41867810486733286772 * q^64 - 24603347867794589745 * q^65 - 22125338176623927544 * q^66 - 45514783394516792827 * q^67 - 6195059821136709554 * q^68 - 9528414763549380601 * q^69 - 32366234997171260920 * q^70 + 42722255994931351033 * q^71 + 157343202556839295585 * q^72 + 48226657202397153009 * q^73 - 153090405902918048844 * q^74 + 12036825394924303295 * q^75 - 60162634423000424480 * q^76 - 164963248402564742904 * q^77 + 26064069871460370353 * q^78 + 120733291720076000615 * q^79 + 182205423481530702380 * q^80 - 768054407156252206276 * q^81 - 1022259457007166512654 * q^82 + 786370931555040163009 * q^83 - 66898308418364411404 * q^84 - 645188952216943823985 * q^85 + 340926047767766785503 * q^86 + 112967102315114936075 * q^87 + 656129178486303107040 * q^88 - 579912579009745417295 * q^89 + 2886443878822415627455 * q^90 + 542417259042223505288 * q^91 - 3217016872272995914712 * q^92 - 3480677299027543563362 * q^93 + 352111940572895648501 * q^94 + 3978054935814922913545 * q^95 - 1486849483408535790602 * q^96 + 1095480073358157122083 * q^97 - 329423456130324987664 * q^98 - 1243583621630277443476 * 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.