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

• Label: 3025.2.cy
• Level: $3025$
• Weight: $2$
• Character orbit: 3025.cy
• Rep. character: $\chi_{3025}(7,\cdot)$
• Character field: $\Q(\zeta_{220})$
• Dimension: $15680$
• Sturm bound: $660$

Defining parameters

Level:	\( N \)	\(=\)	\( 3025 = 5^{2} \cdot 11^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	3025.cy (of order \(220\) and degree \(80\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 605 \)
Character field:			\(\Q(\zeta_{220})\)
Sturm bound:			\(660\)

Dimensions

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

	Total	New	Old
Modular forms	26880	16000	10880
Cusp forms	25920	15680	10240
Eisenstein series	960	320	640

Trace form

15680 * q + 78 * q^2 + 60 * q^3 - 156 * q^6 + 88 * q^7 + 78 * q^8 - 176 * q^11 + 134 * q^12 + 34 * q^13 - 544 * q^16 + 88 * q^17 + 56 * q^18 - 176 * q^21 + 10 * q^22 + 56 * q^23 - 116 * q^26 + 180 * q^27 + 138 * q^28 - 196 * q^31 + 88 * q^32 + 88 * q^33 - 520 * q^36 + 152 * q^37 + 230 * q^38 - 36 * q^41 + 144 * q^42 + 88 * q^43 - 296 * q^46 + 52 * q^47 - 12 * q^48 - 296 * q^51 + 38 * q^52 + 84 * q^53 - 68 * q^56 + 184 * q^57 + 14 * q^58 - 236 * q^61 + 188 * q^62 + 36 * q^63 - 316 * q^66 - 48 * q^67 + 58 * q^68 - 100 * q^71 + 410 * q^72 + 138 * q^73 + 88 * q^76 + 158 * q^77 - 14 * q^78 + 3488 * q^81 + 82 * q^82 + 178 * q^83 - 256 * q^86 + 154 * q^87 + 258 * q^88 + 196 * q^91 - 188 * q^92 + 32 * q^93 - 116 * q^96 + 86 * q^97 + 88 * 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

\( S_{2}^{\mathrm{old}}(3025, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(605, [\chi])\)\(^{\oplus 2}\)