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

• Label: 2535.2.bl
• Level: $2535$
• Weight: $2$
• Character orbit: 2535.bl
• Rep. character: $\chi_{2535}(653,\cdot)$
• Character field: $\Q(\zeta_{12})$
• Dimension: $1152$
• Sturm bound: $728$

Defining parameters

Level:	\( N \)	\(=\)	\( 2535 = 3 \cdot 5 \cdot 13^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	2535.bl (of order \(12\) and degree \(4\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 195 \)
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	1312	256
Cusp forms	1344	1152	192
Eisenstein series	224	160	64

Trace form

1152 * q + 2 * q^3 + 4 * q^6 + 4 * q^7 + 20 * q^10 + 28 * q^12 + 2 * q^15 + 464 * q^16 - 16 * q^18 + 8 * q^21 + 4 * q^22 + 16 * q^25 + 8 * q^27 + 44 * q^28 + 16 * q^30 - 16 * q^31 + 46 * q^33 + 36 * q^36 - 20 * q^37 - 24 * q^40 + 4 * q^42 + 32 * q^43 + 22 * q^45 + 8 * q^48 - 48 * q^51 - 68 * q^57 + 20 * q^58 - 96 * q^60 + 8 * q^61 + 18 * q^63 - 160 * q^66 + 52 * q^67 + 24 * q^70 - 6 * q^72 - 64 * q^73 - 64 * q^75 + 104 * q^76 - 16 * q^81 - 36 * q^82 + 108 * q^85 + 74 * q^87 - 156 * q^88 + 92 * q^90 - 32 * q^93 + 240 * q^96 - 48 * q^97

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

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