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

• Label: 2535.2.da
• Level: $2535$
• Weight: $2$
• Character orbit: 2535.da
• Rep. character: $\chi_{2535}(67,\cdot)$
• Character field: $\Q(\zeta_{156})$
• Dimension: $8736$
• Sturm bound: $728$

Defining parameters

Level:	\( N \)	\(=\)	\( 2535 = 3 \cdot 5 \cdot 13^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	2535.da (of order \(156\) and degree \(48\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 845 \)
Character field:			\(\Q(\zeta_{156})\)
Sturm bound:			\(728\)

Dimensions

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

	Total	New	Old
Modular forms	17664	8736	8928
Cusp forms	17280	8736	8544
Eisenstein series	384	0	384

Trace form

8736 * q - 4 * q^2 + 364 * q^4 - 4 * q^5 + 24 * q^8 - 8 * q^11 + 12 * q^13 - 4 * q^15 + 364 * q^16 - 8 * q^17 + 24 * q^19 + 12 * q^20 + 8 * q^21 + 20 * q^22 - 4 * q^25 + 8 * q^31 - 8 * q^32 + 4 * q^33 - 4 * q^34 + 24 * q^37 - 8 * q^39 - 40 * q^40 + 4 * q^41 + 460 * q^42 - 4 * q^43 - 40 * q^44 + 16 * q^45 + 8 * q^46 - 700 * q^49 + 52 * q^50 + 24 * q^52 + 324 * q^53 + 300 * q^55 - 72 * q^56 - 120 * q^58 - 768 * q^59 + 208 * q^60 - 8 * q^61 - 36 * q^62 - 728 * q^64 + 4 * q^65 + 16 * q^66 + 144 * q^67 - 48 * q^68 - 224 * q^70 + 16 * q^71 + 80 * q^73 - 296 * q^74 - 112 * q^76 + 48 * q^77 + 40 * q^78 + 36 * q^80 - 364 * q^81 + 40 * q^82 + 32 * q^84 + 56 * q^85 + 64 * q^86 - 148 * q^87 - 928 * q^88 + 12 * q^89 + 4 * q^90 + 40 * q^91 - 80 * q^94 + 32 * q^95 - 300 * q^97 - 108 * q^98 - 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

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