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

• Label: 3025.2.i
• Level: $3025$
• Weight: $2$
• Character orbit: 3025.i
• Rep. character: $\chi_{3025}(606,\cdot)$
• Character field: $\Q(\zeta_{5})$
• Dimension: $1052$
• Sturm bound: $660$

Defining parameters

Level:	\( N \)	\(=\)	\( 3025 = 5^{2} \cdot 11^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	3025.i (of order \(5\) and degree \(4\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 25 \)
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	1124	244
Cusp forms	1272	1052	220
Eisenstein series	96	72	24

Trace form

1052 * q + 4 * q^2 + q^3 - 250 * q^4 + 9 * q^5 - 3 * q^6 + 2 * q^7 - 7 * q^8 - 242 * q^9 + 2 * q^10 - 33 * q^12 + 7 * q^13 + 19 * q^14 - 21 * q^15 - 222 * q^16 + 20 * q^17 + 5 * q^19 - 25 * q^20 + 14 * q^21 - 15 * q^23 + 28 * q^24 + 21 * q^25 + 16 * q^26 + q^27 + 43 * q^28 - q^29 - 5 * q^30 + 9 * q^31 - 10 * q^32 - 26 * q^34 + 37 * q^35 - 254 * q^36 - 41 * q^37 - 49 * q^38 - 33 * q^39 + 61 * q^40 + 16 * q^41 + 63 * q^42 - 50 * q^43 + 6 * q^45 + 27 * q^46 - 4 * q^47 - 72 * q^48 + 806 * q^49 + 16 * q^50 + 56 * q^51 - 58 * q^52 - 57 * q^53 - 63 * q^54 - 6 * q^56 + 90 * q^57 + 70 * q^58 - 2 * q^60 + 27 * q^61 - 6 * q^62 + 58 * q^63 - 201 * q^64 - 46 * q^65 - 64 * q^67 - 100 * q^68 - 25 * q^69 + 128 * q^70 + 2 * q^71 - 66 * q^72 - 41 * q^73 + 50 * q^74 + 36 * q^75 + 40 * q^76 + 13 * q^78 - 31 * q^79 - 141 * q^80 - 239 * q^81 + 140 * q^82 - 53 * q^83 - 40 * q^84 - 14 * q^85 + 57 * q^86 + 2 * q^87 - 34 * q^89 - 144 * q^90 - 8 * q^91 - 42 * q^92 + 104 * q^93 + 51 * q^94 + q^95 - 122 * q^96 + 46 * q^97 + 159 * 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

\( S_{2}^{\mathrm{old}}(3025, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(25, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(275, [\chi])\)\(^{\oplus 2}\)