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

• Label: 245.6.p
• Level: $245$
• Weight: $6$
• Character orbit: 245.p
• Rep. character: $\chi_{245}(29,\cdot)$
• Character field: $\Q(\zeta_{14})$
• Dimension: $828$
• Sturm bound: $168$

Defining parameters

Level:	\( N \)	\(=\)	\( 245 = 5 \cdot 7^{2} \)
Weight:	\( k \)	\(=\)	\( 6 \)
Character orbit:	\([\chi]\)	\(=\)	245.p (of order \(14\) and degree \(6\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 245 \)
Character field:			\(\Q(\zeta_{14})\)
Sturm bound:			\(168\)

Dimensions

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

	Total	New	Old
Modular forms	852	852	0
Cusp forms	828	828	0
Eisenstein series	24	24	0

Trace form

828 * q + 2166 * q^4 + 17 * q^5 - 82 * q^6 + 9894 * q^9 - 31 * q^10 - 780 * q^11 - 1590 * q^14 + 1585 * q^15 - 34690 * q^16 - 18212 * q^19 + 6333 * q^20 + 4616 * q^21 + 13738 * q^24 - 1875 * q^25 - 12010 * q^26 - 32880 * q^29 - 456 * q^30 + 47140 * q^31 + 59730 * q^34 - 7005 * q^35 - 116854 * q^36 - 44462 * q^39 - 126419 * q^40 + 35052 * q^41 - 1766 * q^44 - 29545 * q^45 - 7258 * q^46 + 36640 * q^49 - 289882 * q^50 + 37694 * q^51 - 84008 * q^54 + 128091 * q^55 + 201958 * q^56 + 40650 * q^59 - 194385 * q^60 - 193946 * q^61 + 495594 * q^64 - 54011 * q^65 + 404376 * q^66 + 24182 * q^69 + 168507 * q^70 + 402440 * q^71 + 332366 * q^74 - 131533 * q^75 - 12308 * q^76 - 262912 * q^79 + 469432 * q^80 - 1321666 * q^81 + 1223634 * q^84 - 62653 * q^85 - 72838 * q^86 + 288304 * q^89 - 571208 * q^90 - 407690 * q^91 + 422310 * q^94 + 543256 * q^95 - 380092 * q^96 + 1011600 * 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.