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

• Label: 3025.2.be
• Level: $3025$
• Weight: $2$
• Character orbit: 3025.be
• Rep. character: $\chi_{3025}(276,\cdot)$
• Character field: $\Q(\zeta_{11})$
• Dimension: $2060$
• Sturm bound: $660$

Defining parameters

Level:	\( N \)	\(=\)	\( 3025 = 5^{2} \cdot 11^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	3025.be (of order \(11\) and degree \(10\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 121 \)
Character field:			\(\Q(\zeta_{11})\)
Sturm bound:			\(660\)

Dimensions

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

	Total	New	Old
Modular forms	3360	2120	1240
Cusp forms	3240	2060	1180
Eisenstein series	120	60	60

Trace form

2060 * q + 12 * q^2 + 22 * q^3 - 192 * q^4 - 9 * q^6 + 5 * q^7 + 14 * q^8 + 2022 * q^9 - 20 * q^11 - 3 * q^12 + 20 * q^13 + q^14 - 222 * q^16 + 23 * q^17 + 77 * q^18 + 3 * q^19 + 6 * q^21 + 54 * q^22 - 9 * q^23 + 16 * q^24 - 53 * q^26 + 100 * q^27 + 3 * q^28 + 17 * q^29 - 55 * q^31 + 18 * q^32 + 43 * q^33 + 41 * q^34 - 311 * q^36 + 40 * q^37 + 61 * q^38 - 112 * q^39 - 31 * q^41 + 42 * q^42 - 3 * q^43 + 9 * q^44 - 3 * q^46 + 7 * q^47 + 48 * q^48 - 173 * q^49 - 53 * q^51 - 129 * q^52 - 87 * q^53 + 72 * q^54 - 162 * q^56 - 33 * q^57 - 88 * q^58 + 43 * q^59 - 27 * q^61 - 66 * q^62 + 160 * q^63 - 256 * q^64 - 17 * q^66 + 38 * q^67 + 25 * q^68 - 60 * q^69 + 11 * q^71 + 171 * q^72 - q^73 - 13 * q^74 - 3 * q^76 - 127 * q^77 - 48 * q^78 - 11 * q^79 + 1812 * q^81 + 11 * q^82 - 11 * q^83 - 24 * q^84 + 43 * q^86 + 76 * q^87 - 101 * q^88 + 20 * q^89 - 28 * q^91 - 35 * q^92 - q^93 + 134 * q^94 - 136 * q^96 - 38 * q^97 - 172 * q^98 + 57 * 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.

Decomposition of \(S_{2}^{\mathrm{old}}(3025, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(3025, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(121, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(605, [\chi])\)\(^{\oplus 2}\)