Space of modular forms of level 3025, weight 2, and Character 3025.k

• Label: 3025.2.k
• Level: $3025$
• Weight: $2$
• Character orbit: 3025.k
• Rep. character: $\chi_{3025}(1291,\cdot)$
• Character field: $\Q(\zeta_{5})$
• Dimension: $1048$
• Sturm bound: $660$

Defining parameters

Level:	\( N \)	\(=\)	\( 3025 = 5^{2} \cdot 11^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	3025.k (of order \(5\) and degree \(4\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 275 \)
Character field:			\(\Q(\zeta_{5})\)
Sturm bound:			\(660\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(3025, [\chi])\).

	Total	New	Old
Modular forms	1368	1112	256
Cusp forms	1272	1048	224
Eisenstein series	96	64	32

Trace form

1048 * q + q^2 + 2 * q^3 - 253 * q^4 + 4 * q^5 - q^6 + 9 * q^7 - 7 * q^8 + 986 * q^9 + 12 * q^10 + 24 * q^12 - 2 * q^13 - 7 * q^14 + 14 * q^15 - 241 * q^16 + 2 * q^17 + 21 * q^18 - 5 * q^19 - 15 * q^20 + q^21 - 44 * q^23 + 18 * q^24 + 6 * q^25 - 37 * q^26 - 4 * q^27 - 13 * q^28 - 11 * q^29 - 30 * q^30 + 21 * q^31 + 82 * q^32 - 22 * q^34 - 13 * q^35 - 238 * q^36 - 4 * q^37 + 41 * q^38 + 118 * q^39 - 79 * q^40 - 12 * q^41 - 63 * q^42 - 44 * q^43 - 34 * q^45 - 31 * q^46 + 38 * q^47 - 76 * q^48 - 197 * q^49 - 14 * q^50 - 7 * q^51 - 31 * q^52 - 6 * q^53 + 17 * q^54 - 11 * q^56 + 60 * q^57 - 80 * q^58 + 10 * q^59 + 103 * q^60 + 34 * q^61 - 32 * q^62 + 19 * q^63 - 139 * q^64 + 24 * q^65 - 2 * q^67 - q^68 + 46 * q^69 - 47 * q^70 + 19 * q^71 - 96 * q^72 + 20 * q^73 - q^74 - 59 * q^75 + 130 * q^76 - 65 * q^78 - 11 * q^79 - 81 * q^80 + 752 * q^81 + 64 * q^82 - 57 * q^83 - 16 * q^84 + 26 * q^85 - 31 * q^86 - 48 * q^87 - 64 * q^89 + 191 * q^90 + 44 * q^91 - 70 * q^92 + 21 * q^93 - 70 * q^94 + 46 * q^95 + 170 * q^96 - 67 * q^97 - 112 * q^98

Decomposition of \(S_{2}^{\mathrm{new}}(3025, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(3025, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(3025, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(275, [\chi])\)\(^{\oplus 2}\)