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

• Label: 3025.2.j
• Level: $3025$
• Weight: $2$
• Character orbit: 3025.j
• Rep. character: $\chi_{3025}(81,\cdot)$
• 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.j (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 + 7 * q^3 - 253 * q^4 + 4 * q^5 + 34 * q^6 + 4 * q^7 + 3 * q^8 - 239 * q^9 + 12 * q^10 - 6 * q^12 - 7 * q^13 - 2 * q^14 - q^15 - 231 * q^16 + 12 * q^17 + q^18 - 15 * q^19 + 25 * q^20 - 14 * q^21 - 24 * q^23 - 22 * q^24 - 14 * q^25 + 18 * q^26 + 16 * q^27 - 13 * q^28 - 11 * q^29 + 25 * q^30 + 21 * q^31 - 28 * q^32 - 22 * q^34 - 18 * q^35 + 882 * q^36 + 96 * q^37 + 51 * q^38 - 7 * q^39 - 14 * q^40 - 12 * q^41 - 93 * q^42 + 86 * q^43 - 124 * q^45 + 14 * q^46 - 27 * q^47 + 29 * q^48 - 222 * q^49 - 4 * q^50 - 7 * q^51 - 26 * q^52 - 66 * q^53 - 18 * q^54 - 46 * q^56 + 50 * q^57 + 15 * q^58 - 10 * q^59 + 48 * q^60 - 11 * q^61 - 122 * q^62 - 51 * q^63 - 239 * q^64 + 4 * q^65 - 62 * q^67 + 39 * q^68 - 4 * q^69 + 73 * q^70 + 39 * q^71 - 11 * q^72 - 55 * q^73 - q^74 + 16 * q^75 + 100 * q^76 - 120 * q^78 + 134 * q^79 - 26 * q^80 - 208 * q^81 - 36 * q^82 - 2 * q^83 + 144 * q^84 + 46 * q^85 + 69 * q^86 + 62 * q^87 - 39 * q^89 - 39 * q^90 + 59 * q^91 - 205 * q^92 + 151 * q^93 - 10 * q^94 + 91 * q^95 - 5 * q^96 - 102 * q^97 - 57 * 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

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