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

• Label: 2535.2.ce
• Level: $2535$
• Weight: $2$
• Character orbit: 2535.ce
• Rep. character: $\chi_{2535}(44,\cdot)$
• Character field: $\Q(\zeta_{52})$
• Dimension: $8640$
• Sturm bound: $728$

Defining parameters

Level:	\( N \)	\(=\)	\( 2535 = 3 \cdot 5 \cdot 13^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	2535.ce (of order \(52\) and degree \(24\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 2535 \)
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	8832	0
Cusp forms	8640	8640	0
Eisenstein series	192	192	0

Trace form

8640 * q - 104 * q^4 - 40 * q^6 - 44 * q^9 - 52 * q^10 - 10 * q^15 + 608 * q^16 - 80 * q^19 - 56 * q^21 - 44 * q^24 - 52 * q^25 - 130 * q^30 - 96 * q^31 - 136 * q^34 - 52 * q^36 + 140 * q^39 - 36 * q^40 - 176 * q^45 + 144 * q^46 - 104 * q^49 - 52 * q^51 - 28 * q^54 + 132 * q^55 - 102 * q^60 + 8 * q^61 - 104 * q^64 + 88 * q^66 + 104 * q^69 - 212 * q^70 - 156 * q^75 - 208 * q^76 - 120 * q^79 - 52 * q^81 - 160 * q^84 - 108 * q^85 - 26 * q^90 - 136 * q^91 - 24 * q^94 - 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.