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

• Label: 25.14.e
• Level: $25$
• Weight: $14$
• Character orbit: 25.e
• Rep. character: $\chi_{25}(4,\cdot)$
• Character field: $\Q(\zeta_{10})$
• Dimension: $128$
• Sturm bound: $35$

Defining parameters

Level:	\( N \)	\(=\)	\( 25 = 5^{2} \)
Weight:	\( k \)	\(=\)	\( 14 \)
Character orbit:	\([\chi]\)	\(=\)	25.e (of order \(10\) and degree \(4\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 25 \)
Character field:			\(\Q(\zeta_{10})\)
Sturm bound:			\(35\)

Dimensions

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

	Total	New	Old
Modular forms	136	136	0
Cusp forms	128	128	0
Eisenstein series	8	8	0

Trace form

128 * q - 5 * q^2 - 5 * q^3 + 131069 * q^4 - 128970 * q^5 - 109699 * q^6 - 2692190 * q^8 + 18873791 * q^9 - 7569725 * q^10 - 6248764 * q^11 - 49070085 * q^12 - 5 * q^13 - 30344417 * q^14 - 129358425 * q^15 - 742502007 * q^16 - 186653610 * q^17 + 218013835 * q^19 - 1239087325 * q^20 - 550253844 * q^21 + 798258150 * q^22 + 2195782005 * q^23 - 2034284720 * q^24 - 2309979160 * q^25 + 1941475986 * q^26 - 2956652405 * q^27 - 4670709765 * q^28 - 5877429505 * q^29 - 5512536725 * q^30 - 15406280289 * q^31 + 279073610 * q^33 + 24618497773 * q^34 + 61845024895 * q^35 - 49356355827 * q^36 - 85858104120 * q^37 - 34881214185 * q^38 - 10791637283 * q^39 + 122513888410 * q^40 - 72159062184 * q^41 - 210370657315 * q^42 + 31459075548 * q^44 + 244732731195 * q^45 - 114069863839 * q^46 - 194792588600 * q^47 - 973214789430 * q^48 - 1799868296506 * q^49 + 328503088085 * q^50 + 808903838556 * q^51 + 1909910934740 * q^52 + 229864604040 * q^53 + 40929998465 * q^54 - 1421473019050 * q^55 - 657379651760 * q^56 + 2091552020570 * q^58 + 873075985320 * q^59 + 5224693306520 * q^60 + 663069105891 * q^61 - 3352795003480 * q^62 + 2130997973610 * q^63 + 4700874779404 * q^64 - 2023373778185 * q^65 - 253154901518 * q^66 - 1103038590580 * q^67 + 1728403487537 * q^69 + 8336244667110 * q^70 - 3000587168594 * q^71 - 7498602576145 * q^72 - 8406201791985 * q^73 - 9535717075852 * q^74 - 4808084767810 * q^75 + 10526245840720 * q^76 + 8333955356010 * q^77 + 5586831246775 * q^78 + 7005626290575 * q^79 - 3283646258950 * q^80 + 3320847053838 * q^81 - 10981612714445 * q^83 - 27757537313262 * q^84 - 19567406165385 * q^85 - 31192029683109 * q^86 + 37620888511580 * q^87 + 59725331528830 * q^88 - 14040664847575 * q^89 - 35246509234465 * q^90 - 24894999053274 * q^91 - 43182485497670 * q^92 + 49993727714073 * q^94 + 77417792789015 * q^95 + 56587223715896 * q^96 - 19537937950260 * q^97 - 80486073390460 * q^98 - 38237896605528 * 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.