Space of modular forms of level 25, weight 14, and Character 25.d

• Label: 25.14.d
• Level: $25$
• Weight: $14$
• Character orbit: 25.d
• Rep. character: $\chi_{25}(6,\cdot)$
• Character field: $\Q(\zeta_{5})$
• Dimension: $124$
• Sturm bound: $35$

Defining parameters

Level:	\( N \)	\(=\)	\( 25 = 5^{2} \)
Weight:	\( k \)	\(=\)	\( 14 \)
Character orbit:	\([\chi]\)	\(=\)	25.d (of order \(5\) and degree \(4\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 25 \)
Character field:			\(\Q(\zeta_{5})\)
Sturm bound:			\(35\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{14}(25, [\chi])\).

	Total	New	Old
Modular forms	132	132	0
Cusp forms	124	124	0
Eisenstein series	8	8	0

Trace form

124 * q - 67 * q^2 - 1201 * q^3 - 118787 * q^4 + 88765 * q^5 + 109693 * q^6 + 167998 * q^7 + 845260 * q^8 - 12481228 * q^9 - 3468755 * q^10 + 6248758 * q^11 + 56377483 * q^12 + 26984109 * q^13 - 30393569 * q^14 + 233962275 * q^15 - 213799311 * q^16 - 270416612 * q^17 + 1007347824 * q^18 + 218013835 * q^19 - 1175742105 * q^20 + 550253838 * q^21 + 2735297416 * q^22 - 3763281611 * q^23 - 2027874660 * q^24 + 512816845 * q^25 - 4584441122 * q^26 + 5665913045 * q^27 + 3833630011 * q^28 - 4390756775 * q^29 + 16282189035 * q^30 + 15406280283 * q^31 - 9543778602 * q^32 - 11463718312 * q^33 + 4704245421 * q^34 + 1752214565 * q^35 - 65744672531 * q^36 - 32859001717 * q^37 + 93542478765 * q^38 - 10785259991 * q^39 + 121143612530 * q^40 + 23848522508 * q^41 - 249529607779 * q^42 - 247185097206 * q^43 + 31459108316 * q^44 + 349997588600 * q^45 + 114069863833 * q^46 + 212152605318 * q^47 + 214591977994 * q^48 + 1023754292498 * q^49 - 1009362202835 * q^50 - 808903838572 * q^51 - 67649066232 * q^52 + 646886997459 * q^53 + 40920465295 * q^54 + 47254769060 * q^55 + 657648087210 * q^56 - 820002298730 * q^57 - 1792637215570 * q^58 + 873075985320 * q^59 + 46468986810 * q^60 - 354737629967 * q^61 - 1705442389144 * q^62 + 73898301434 * q^63 + 1333620370188 * q^64 - 1115436080670 * q^65 + 305397677576 * q^66 - 414838861322 * q^67 - 924616138034 * q^68 - 570574793761 * q^69 + 628630919880 * q^70 + 1214804650048 * q^71 + 11713533431905 * q^72 + 2067435152109 * q^73 - 6772232904204 * q^74 - 9872299938580 * q^75 - 10525977405280 * q^76 - 364623980244 * q^77 + 18453820747313 * q^78 + 7005626290575 * q^79 + 15870038317580 * q^80 - 13763013021391 * q^81 + 3631079206706 * q^82 - 19645299018791 * q^83 - 28338864965644 * q^84 + 18939381069790 * q^85 + 31192029683103 * q^86 + 22738602981920 * q^87 - 25214715496480 * q^88 - 14586538708610 * q^89 - 78969169961345 * q^90 + 24894999053268 * q^91 + 63593616121768 * q^92 + 18320360512228 * q^93 + 60816643878901 * q^94 - 14226580090205 * q^95 - 63100096579562 * q^96 - 16956604869772 * q^97 + 9981936425456 * q^98 - 32865348045976 * q^99

Decomposition of \(S_{14}^{\mathrm{new}}(25, [\chi])\) into newform subspaces

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