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

• Label: 2535.2.cd
• Level: $2535$
• Weight: $2$
• Character orbit: 2535.cd
• Rep. character: $\chi_{2535}(86,\cdot)$
• Character field: $\Q(\zeta_{52})$
• Dimension: $5856$
• Sturm bound: $728$

Defining parameters

Level:	\( N \)	\(=\)	\( 2535 = 3 \cdot 5 \cdot 13^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	2535.cd (of order \(52\) and degree \(24\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 507 \)
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	5856	2976
Cusp forms	8640	5856	2784
Eisenstein series	192	0	192

Trace form

5856 * q - 12 * q^6 + 16 * q^7 - 4 * q^15 + 512 * q^16 - 4 * q^18 + 16 * q^19 + 12 * q^21 + 304 * q^24 + 24 * q^27 - 32 * q^28 - 32 * q^31 + 4 * q^33 + 16 * q^34 - 32 * q^37 + 8 * q^39 - 48 * q^42 + 8 * q^45 + 40 * q^46 - 48 * q^48 + 32 * q^54 + 36 * q^57 - 24 * q^58 - 16 * q^60 - 8 * q^63 + 72 * q^66 + 32 * q^67 - 132 * q^72 + 64 * q^73 - 16 * q^76 + 12 * q^78 - 32 * q^79 - 56 * q^81 - 520 * q^82 - 124 * q^84 + 24 * q^85 - 16 * q^87 - 8 * q^91 + 368 * q^93 + 328 * q^94 - 600 * q^96 - 24 * q^97 + 20 * 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

\( S_{2}^{\mathrm{old}}(2535, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(507, [\chi])\)\(^{\oplus 2}\)