Space of modular forms of level 425, weight 6, and Character 425.w

• Label: 425.6.w
• Level: $425$
• Weight: $6$
• Character orbit: 425.w
• Rep. character: $\chi_{425}(4,\cdot)$
• Character field: $\Q(\zeta_{20})$
• Dimension: $1792$
• Sturm bound: $270$

Defining parameters

Level:	\( N \)	\(=\)	\( 425 = 5^{2} \cdot 17 \)
Weight:	\( k \)	\(=\)	\( 6 \)
Character orbit:	\([\chi]\)	\(=\)	425.w (of order \(20\) and degree \(8\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 425 \)
Character field:			\(\Q(\zeta_{20})\)
Sturm bound:			\(270\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{6}(425, [\chi])\).

	Total	New	Old
Modular forms	1824	1824	0
Cusp forms	1792	1792	0
Eisenstein series	32	32	0

Trace form

1792 * q - 10 * q^3 - 7180 * q^4 - 84 * q^5 + 122 * q^6 + 392 * q^10 - 480 * q^11 - 10 * q^12 - 20 * q^13 - 198 * q^14 - 114444 * q^16 - 10 * q^17 + 19896 * q^20 + 19260 * q^21 + 9430 * q^22 + 12750 * q^23 + 5180 * q^24 + 25160 * q^27 + 10230 * q^28 + 15790 * q^29 + 5780 * q^30 - 6 * q^31 + 7360 * q^33 + 122 * q^34 + 74208 * q^35 - 39980 * q^37 - 20 * q^38 - 978 * q^39 + 46132 * q^40 - 12290 * q^41 - 6596 * q^44 - 53476 * q^45 - 40294 * q^46 + 102080 * q^47 - 280620 * q^48 + 236652 * q^50 - 16 * q^51 + 620 * q^52 - 69226 * q^54 + 4516 * q^55 - 96624 * q^56 + 291820 * q^58 - 165614 * q^61 + 132230 * q^62 + 70870 * q^63 - 1827212 * q^64 - 78738 * q^65 - 236740 * q^67 + 222828 * q^69 - 133888 * q^71 + 20460 * q^72 - 370930 * q^73 - 148964 * q^74 + 15128 * q^75 - 984150 * q^78 - 22590 * q^79 + 198412 * q^80 + 2939316 * q^81 - 825612 * q^84 - 55522 * q^85 - 295076 * q^86 - 778700 * q^88 - 335316 * q^89 - 1448998 * q^90 + 314528 * q^91 + 265890 * q^92 - 431014 * q^95 - 180120 * q^96 - 10 * q^97 + 1304160 * q^98 - 365164 * q^99

Decomposition of \(S_{6}^{\mathrm{new}}(425, [\chi])\) into newform subspaces

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