Space of modular forms of level 2795, weight 2, and Character 2795.fr

• Label: 2795.2.fr
• Level: $2795$
• Weight: $2$
• Character orbit: 2795.fr
• Rep. character: $\chi_{2795}(504,\cdot)$
• Character field: $\Q(\zeta_{42})$
• Dimension: $3648$
• Sturm bound: $616$

Defining parameters

Level:	$N$	$=$	$2795 = 5 \cdot 13 \cdot 43$
Weight:	$k$	$=$	$2$
Character orbit:	$[\chi]$	$=$	2795.fr (of order $42$ and degree $12$)
Character conductor:	$\operatorname{cond}(\chi)$	$=$	$2795$
Character field:			$\Q(\zeta_{42})$
Sturm bound:			$616$

Dimensions

The following table gives the dimensions of various subspaces of $M_{2}(2795, [\chi])$.

	Total	New	Old
Modular forms	3744	3744	0
Cusp forms	3648	3648	0
Eisenstein series	96	96	0

Trace form

3648 * q + 290 * q^4 - 36 * q^6 + 582 * q^9 + 7 * q^10 - 30 * q^11 - 80 * q^14 - 42 * q^15 + 230 * q^16 - 24 * q^19 - 30 * q^20 - 126 * q^21 - 42 * q^24 - 14 * q^25 - 26 * q^26 - 44 * q^29 - 55 * q^30 - 12 * q^31 - 12 * q^34 - 62 * q^35 + 1716 * q^36 - 86 * q^39 + 64 * q^40 - 6 * q^41 + 30 * q^45 + 96 * q^46 + 3328 * q^49 - 78 * q^50 - 200 * q^51 - 30 * q^54 - 61 * q^55 - 148 * q^56 - 84 * q^59 - 117 * q^60 + 58 * q^61 - 736 * q^64 - 114 * q^65 + 110 * q^66 - 74 * q^69 + 63 * q^70 - 42 * q^71 - 136 * q^74 + 101 * q^75 - 42 * q^76 + 2 * q^79 - 566 * q^81 - 588 * q^84 - 33 * q^85 - 126 * q^86 - 252 * q^89 - 166 * q^90 - 134 * q^91 + 18 * q^94 - 49 * q^95 - 186 * q^96 + 18 * q^99

Decomposition of $S_{2}^{\mathrm{new}}(2795, [\chi])$ into newform subspaces

The newforms in this space have not yet been added to the LMFDB.