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

• Label: 3025.2.bv
• Level: $3025$
• Weight: $2$
• Character orbit: 3025.bv
• Rep. character: $\chi_{3025}(32,\cdot)$
• Character field: $\Q(\zeta_{44})$
• Dimension: $3920$
• Sturm bound: $660$

Defining parameters

Level:	\( N \)	\(=\)	\( 3025 = 5^{2} \cdot 11^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	3025.bv (of order \(44\) and degree \(20\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 605 \)
Character field:			\(\Q(\zeta_{44})\)
Sturm bound:			\(660\)

Dimensions

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

	Total	New	Old
Modular forms	6720	4000	2720
Cusp forms	6480	3920	2560
Eisenstein series	240	80	160

Trace form

3920 * q + 22 * q^2 + 40 * q^3 - 44 * q^6 + 22 * q^7 + 22 * q^8 - 24 * q^11 - 44 * q^12 + 66 * q^13 + 344 * q^16 + 22 * q^17 + 44 * q^18 - 44 * q^21 + 90 * q^22 + 34 * q^23 - 84 * q^26 - 80 * q^27 + 22 * q^28 - 4 * q^31 + 22 * q^32 + 62 * q^33 + 480 * q^36 - 52 * q^37 - 70 * q^38 - 44 * q^41 - 44 * q^42 + 22 * q^43 - 44 * q^46 + 18 * q^47 + 72 * q^48 + 176 * q^51 + 22 * q^52 - 14 * q^53 - 112 * q^56 - 44 * q^57 + 6 * q^58 - 44 * q^61 + 22 * q^62 + 44 * q^63 + 36 * q^66 + 138 * q^67 + 22 * q^68 - 100 * q^71 - 220 * q^72 + 22 * q^73 - 308 * q^76 + 22 * q^77 + 104 * q^78 - 3648 * q^81 + 58 * q^82 + 22 * q^83 - 4 * q^86 - 44 * q^87 + 2 * q^88 - 316 * q^91 + 278 * q^92 + 128 * q^93 - 44 * q^96 - 46 * q^97 + 22 * 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

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