Space of modular forms of level 2535, weight 2, and Character 2535.c

• Label: 2535.2.c
• Level: $2535$
• Weight: $2$
• Character orbit: 2535.c
• Rep. character: $\chi_{2535}(2029,\cdot)$
• Character field: $\Q$
• Dimension: $156$
• Sturm bound: $728$

Defining parameters

Level:	\( N \)	\(=\)	\( 2535 = 3 \cdot 5 \cdot 13^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	2535.c (of order \(2\) and degree \(1\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 5 \)
Character field:			\(\Q\)
Sturm bound:			\(728\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2535, [\chi])\).

	Total	New	Old
Modular forms	392	156	236
Cusp forms	336	156	180
Eisenstein series	56	0	56

Trace form

156 * q - 160 * q^4 + 4 * q^5 - 156 * q^9 - 8 * q^10 - 8 * q^11 + 24 * q^14 + 4 * q^15 + 168 * q^16 + 8 * q^19 - 28 * q^20 - 8 * q^21 - 8 * q^29 - 8 * q^30 - 16 * q^31 + 40 * q^34 - 4 * q^35 + 160 * q^36 - 32 * q^40 + 8 * q^41 + 40 * q^44 - 4 * q^45 + 24 * q^46 - 132 * q^49 - 40 * q^50 + 8 * q^51 + 4 * q^55 + 24 * q^59 - 12 * q^60 - 8 * q^61 - 232 * q^64 + 24 * q^66 - 16 * q^69 - 56 * q^70 - 8 * q^71 + 24 * q^74 - 16 * q^76 + 20 * q^80 + 156 * q^81 + 32 * q^84 + 8 * q^85 + 8 * q^89 + 8 * q^90 - 32 * q^94 + 44 * q^95 + 40 * q^96 + 8 * q^99

Decomposition of \(S_{2}^{\mathrm{new}}(2535, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(2535, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(2535, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(65, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(195, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(845, [\chi])\)\(^{\oplus 2}\)