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

• Label: 2535.2.bm
• Level: $2535$
• Weight: $2$
• Character orbit: 2535.bm
• Rep. character: $\chi_{2535}(418,\cdot)$
• Character field: $\Q(\zeta_{12})$
• Dimension: $616$
• Sturm bound: $728$

Defining parameters

Level:	\( N \)	\(=\)	\( 2535 = 3 \cdot 5 \cdot 13^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	2535.bm (of order \(12\) and degree \(4\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 65 \)
Character field:			\(\Q(\zeta_{12})\)
Sturm bound:			\(728\)

Dimensions

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

	Total	New	Old
Modular forms	1568	616	952
Cusp forms	1344	616	728
Eisenstein series	224	0	224

Trace form

616 * q + 308 * q^4 + 8 * q^5 - 8 * q^11 - 32 * q^12 + 4 * q^15 - 308 * q^16 + 20 * q^17 + 8 * q^18 - 24 * q^19 + 8 * q^21 + 36 * q^22 + 16 * q^23 + 36 * q^25 + 8 * q^31 + 60 * q^32 - 12 * q^33 + 4 * q^34 + 20 * q^37 - 8 * q^40 + 4 * q^41 + 60 * q^42 + 20 * q^43 + 40 * q^44 + 8 * q^45 + 8 * q^46 - 24 * q^47 - 32 * q^48 - 300 * q^49 + 124 * q^50 - 20 * q^53 - 32 * q^55 - 72 * q^56 + 4 * q^58 - 64 * q^59 + 48 * q^60 - 24 * q^61 - 108 * q^62 - 616 * q^64 + 16 * q^66 - 12 * q^68 + 16 * q^69 - 80 * q^70 + 16 * q^71 + 12 * q^72 + 36 * q^74 - 32 * q^75 - 112 * q^76 - 48 * q^77 - 164 * q^80 + 308 * q^81 + 60 * q^82 - 104 * q^83 - 32 * q^84 - 16 * q^85 + 64 * q^86 - 36 * q^87 + 16 * q^88 - 12 * q^89 + 28 * q^90 + 128 * q^92 - 24 * q^94 - 48 * q^95 + 108 * q^97 + 96 * 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

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