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

• Label: 3025.2.bw
• Level: $3025$
• Weight: $2$
• Character orbit: 3025.bw
• Rep. character: $\chi_{3025}(31,\cdot)$
• Character field: $\Q(\zeta_{55})$
• Dimension: $13120$
• Sturm bound: $660$

Defining parameters

Level:	\( N \)	\(=\)	\( 3025 = 5^{2} \cdot 11^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	3025.bw (of order \(55\) and degree \(40\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 3025 \)
Character field:			\(\Q(\zeta_{55})\)
Sturm bound:			\(660\)

Dimensions

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

	Total	New	Old
Modular forms	13280	13280	0
Cusp forms	13120	13120	0
Eisenstein series	160	160	0

Trace form

13120 * q - 27 * q^2 - 10 * q^3 - 1331 * q^4 - 43 * q^5 + 10 * q^6 - 79 * q^7 - 15 * q^8 - 3250 * q^9 - 10 * q^10 - 10 * q^11 + 63 * q^12 - 196 * q^13 - 30 * q^14 - 22 * q^15 - 1279 * q^16 - 31 * q^17 - 232 * q^18 - 3 * q^19 - 41 * q^20 + 34 * q^21 + 54 * q^22 - 43 * q^23 - 169 * q^24 - 27 * q^25 - 65 * q^26 + 110 * q^27 + 14 * q^28 + 21 * q^29 - 46 * q^30 - 30 * q^31 - 6 * q^32 + 17 * q^33 - 25 * q^34 - 62 * q^35 + 434 * q^36 + 41 * q^37 + 65 * q^38 - 14 * q^39 - 17 * q^40 - 60 * q^41 + 10 * q^42 - 132 * q^43 - 34 * q^44 + 78 * q^45 - 24 * q^46 - 19 * q^47 + 97 * q^48 + 245 * q^49 + 124 * q^50 - 194 * q^51 + 6 * q^52 - 64 * q^53 + 226 * q^54 + 17 * q^55 - 14 * q^56 - 127 * q^57 - 75 * q^58 - 44 * q^59 - 31 * q^60 - 39 * q^61 - 85 * q^62 + 26 * q^63 - 1199 * q^64 - 152 * q^65 + 45 * q^66 + 97 * q^67 - 89 * q^68 + 19 * q^69 + 53 * q^70 + 44 * q^71 + 263 * q^72 - 73 * q^73 - 89 * q^74 + q^75 - 123 * q^76 - 119 * q^77 + 46 * q^78 - 44 * q^79 - 538 * q^80 - 3002 * q^81 - 52 * q^82 + 60 * q^83 + 47 * q^84 - 214 * q^85 - 39 * q^86 - 15 * q^87 - 64 * q^88 + 63 * q^89 + 67 * q^90 - 57 * q^91 + 283 * q^92 - 122 * q^93 + 140 * q^94 + 60 * q^95 - 7 * q^96 + 2 * q^97 - 145 * q^98 - 586 * q^99

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

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