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

• Label: 3025.2.ck
• Level: $3025$
• Weight: $2$
• Character orbit: 3025.ck
• Rep. character: $\chi_{3025}(49,\cdot)$
• Character field: $\Q(\zeta_{110})$
• Dimension: $7840$
• Sturm bound: $660$

Defining parameters

Level:	\( N \)	\(=\)	\( 3025 = 5^{2} \cdot 11^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	3025.ck (of order \(110\) and degree \(40\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 605 \)
Character field:			\(\Q(\zeta_{110})\)
Sturm bound:			\(660\)

Dimensions

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

	Total	New	Old
Modular forms	13440	8000	5440
Cusp forms	12960	7840	5120
Eisenstein series	480	160	320

Trace form

7840 * q - 112 * q^4 - 50 * q^6 + 1992 * q^9 - 52 * q^11 + 102 * q^14 + 124 * q^16 + 90 * q^19 + 22 * q^21 + 188 * q^24 - 20 * q^26 + 86 * q^29 - 54 * q^31 + 64 * q^34 + 236 * q^36 + 88 * q^39 - 146 * q^41 + 6 * q^44 - 92 * q^46 - 230 * q^51 + 226 * q^54 + 10 * q^56 + 38 * q^59 - 128 * q^61 - 60 * q^64 + 36 * q^66 + 18 * q^69 + 46 * q^71 + 210 * q^74 - 18 * q^76 + 206 * q^79 - 1648 * q^81 - 38 * q^84 - 12 * q^86 - 58 * q^89 - 216 * q^91 + 86 * q^94 - 250 * q^96 - 338 * 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

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