Space of modular forms of level 245, weight 6, and Character 245.t

• Label: 245.6.t
• Level: $245$
• Weight: $6$
• Character orbit: 245.t
• Rep. character: $\chi_{245}(4,\cdot)$
• Character field: $\Q(\zeta_{42})$
• Dimension: $1656$
• Sturm bound: $168$

Defining parameters

Level:	\( N \)	\(=\)	\( 245 = 5 \cdot 7^{2} \)
Weight:	\( k \)	\(=\)	\( 6 \)
Character orbit:	\([\chi]\)	\(=\)	245.t (of order \(42\) and degree \(12\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 245 \)
Character field:			\(\Q(\zeta_{42})\)
Sturm bound:			\(168\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{6}(245, [\chi])\).

	Total	New	Old
Modular forms	1704	1704	0
Cusp forms	1656	1656	0
Eisenstein series	48	48	0

Trace form

1656 * q - 2202 * q^4 - 2 * q^5 - 380 * q^6 - 9360 * q^9 + 70 * q^10 + 1248 * q^11 - 186 * q^14 - 1600 * q^15 + 33322 * q^16 + 16886 * q^19 - 3846 * q^20 - 1622 * q^21 - 3328 * q^24 - 948 * q^25 + 10462 * q^26 + 32850 * q^29 + 501 * q^30 - 65878 * q^31 - 32016 * q^34 + 11202 * q^35 - 380840 * q^36 - 80842 * q^39 - 78544 * q^40 - 57420 * q^41 - 27418 * q^44 + 114871 * q^45 - 102998 * q^46 + 154394 * q^49 + 289846 * q^50 - 34526 * q^51 - 160234 * q^54 - 218319 * q^55 + 116984 * q^56 - 282282 * q^59 - 187860 * q^60 - 52786 * q^61 + 1028088 * q^64 - 27016 * q^65 - 2322 * q^66 + 110536 * q^69 + 173370 * q^70 - 402470 * q^71 - 131426 * q^74 + 458872 * q^75 - 549922 * q^76 - 131456 * q^79 + 167822 * q^80 + 1363744 * q^81 - 1462836 * q^84 + 62638 * q^85 + 1022464 * q^86 - 409480 * q^89 - 467308 * q^90 - 3946 * q^91 - 625998 * q^94 + 958739 * q^95 - 143834 * q^96 - 1011672 * q^99

Decomposition of \(S_{6}^{\mathrm{new}}(245, [\chi])\) into newform subspaces

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