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

• Label: 2535.2.ch
• Level: $2535$
• Weight: $2$
• Character orbit: 2535.ch
• Rep. character: $\chi_{2535}(112,\cdot)$
• Character field: $\Q(\zeta_{52})$
• Dimension: $4368$
• Sturm bound: $728$

Defining parameters

Level:	\( N \)	\(=\)	\( 2535 = 3 \cdot 5 \cdot 13^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	2535.ch (of order \(52\) and degree \(24\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 845 \)
Character field:			\(\Q(\zeta_{52})\)
Sturm bound:			\(728\)

Dimensions

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

	Total	New	Old
Modular forms	8832	4368	4464
Cusp forms	8640	4368	4272
Eisenstein series	192	0	192

Trace form

4368 * q + 364 * q^4 - 8 * q^5 + 8 * q^11 + 12 * q^13 - 4 * q^15 - 364 * q^16 + 28 * q^17 + 4 * q^18 - 8 * q^21 + 40 * q^22 - 4 * q^25 + 16 * q^31 - 28 * q^34 - 32 * q^37 - 8 * q^39 + 40 * q^40 - 4 * q^41 - 260 * q^42 + 8 * q^43 - 40 * q^44 + 4 * q^45 + 16 * q^46 + 24 * q^47 - 628 * q^49 + 32 * q^50 - 52 * q^52 + 144 * q^53 - 148 * q^55 + 8 * q^58 + 384 * q^59 - 196 * q^60 - 16 * q^61 - 72 * q^62 + 364 * q^64 + 8 * q^65 - 16 * q^66 - 208 * q^67 - 60 * q^68 + 144 * q^70 - 40 * q^71 - 12 * q^72 - 260 * q^74 + 40 * q^76 + 48 * q^77 - 8 * q^78 + 32 * q^80 + 364 * q^81 + 4 * q^82 + 104 * q^83 + 32 * q^84 + 4 * q^85 - 16 * q^86 - 184 * q^87 + 440 * q^88 + 36 * q^89 + 4 * q^90 + 56 * q^91 - 104 * q^94 - 64 * q^95 + 312 * q^97 - 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

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