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

• Label: 2535.2.ck
• Level: $2535$
• Weight: $2$
• Character orbit: 2535.ck
• Rep. character: $\chi_{2535}(94,\cdot)$
• Character field: $\Q(\zeta_{78})$
• Dimension: $4320$
• Sturm bound: $728$

Defining parameters

Level:	\( N \)	\(=\)	\( 2535 = 3 \cdot 5 \cdot 13^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	2535.ck (of order \(78\) and degree \(24\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 845 \)
Character field:			\(\Q(\zeta_{78})\)
Sturm bound:			\(728\)

Dimensions

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

	Total	New	Old
Modular forms	8832	4320	4512
Cusp forms	8640	4320	4320
Eisenstein series	192	0	192

Trace form

4320 * q - 176 * q^4 - 4 * q^5 - 180 * q^9 - 4 * q^11 - 24 * q^14 + 2 * q^15 + 160 * q^16 + 16 * q^19 + 16 * q^20 + 8 * q^21 + 8 * q^25 + 48 * q^26 + 4 * q^29 - 60 * q^31 + 32 * q^34 - 6 * q^35 + 176 * q^36 - 8 * q^39 + 40 * q^40 + 40 * q^41 - 40 * q^44 - 2 * q^45 + 24 * q^46 + 8 * q^49 - 20 * q^50 + 32 * q^51 - 90 * q^55 + 24 * q^56 - 428 * q^59 - 152 * q^60 - 24 * q^61 + 320 * q^64 - 14 * q^65 + 40 * q^66 + 12 * q^69 - 152 * q^70 - 4 * q^71 - 92 * q^74 - 8 * q^75 - 164 * q^76 - 128 * q^79 + 4 * q^80 + 180 * q^81 + 16 * q^84 + 82 * q^85 + 264 * q^86 + 64 * q^89 - 60 * q^91 + 92 * q^94 + 224 * 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

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