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

• Label: 245.6.s
• Level: $245$
• Weight: $6$
• Character orbit: 245.s
• Rep. character: $\chi_{245}(13,\cdot)$
• Character field: $\Q(\zeta_{28})$
• Dimension: $1656$
• Sturm bound: $168$

Defining parameters

Level:	\( N \)	\(=\)	\( 245 = 5 \cdot 7^{2} \)
Weight:	\( k \)	\(=\)	\( 6 \)
Character orbit:	\([\chi]\)	\(=\)	245.s (of order \(28\) and degree \(12\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 245 \)
Character field:			\(\Q(\zeta_{28})\)
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 - 10 * q^2 - 14 * q^3 - 14 * q^5 + 532 * q^6 + 182 * q^7 + 354 * q^8 - 14 * q^10 - 60 * q^11 - 14 * q^12 - 14 * q^13 - 202 * q^15 + 69084 * q^16 - 2688 * q^17 - 1124 * q^18 - 14 * q^20 + 56 * q^21 + 7238 * q^22 + 5094 * q^23 + 4434 * q^25 - 6188 * q^26 - 14 * q^27 - 21294 * q^28 - 19340 * q^30 - 43338 * q^32 - 14 * q^33 + 34846 * q^35 + 414764 * q^36 + 5402 * q^37 - 462 * q^38 - 14 * q^40 - 54488 * q^41 + 84238 * q^42 + 58394 * q^43 - 13566 * q^45 + 118620 * q^46 - 96572 * q^47 + 456464 * q^50 + 52180 * q^51 - 14 * q^52 - 175460 * q^53 + 158704 * q^55 - 139860 * q^56 + 25398 * q^57 - 30826 * q^58 - 211970 * q^60 + 75852 * q^61 + 434 * q^62 - 88046 * q^63 + 89402 * q^65 - 577248 * q^66 + 207664 * q^67 + 538538 * q^70 + 378740 * q^71 - 648996 * q^72 - 14 * q^73 - 4970 * q^75 - 28700 * q^76 - 219730 * q^77 + 328942 * q^78 + 2200884 * q^81 - 880474 * q^82 + 462504 * q^83 - 193674 * q^85 + 120740 * q^86 + 783454 * q^87 - 515148 * q^88 + 379330 * q^90 - 766444 * q^91 - 146102 * q^92 + 1268170 * q^93 - 455496 * q^95 + 628712 * q^96 + 2830296 * q^98

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

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