Space of modular forms of level 2070, weight 2, and Character 2070.bn

• Label: 2070.2.bn
• Level: $2070$
• Weight: $2$
• Character orbit: 2070.bn
• Rep. character: $\chi_{2070}(49,\cdot)$
• Character field: $\Q(\zeta_{66})$
• Dimension: $2880$
• Sturm bound: $864$

Defining parameters

Level:	$N$	$=$	$2070 = 2 \cdot 3^{2} \cdot 5 \cdot 23$
Weight:	$k$	$=$	$2$
Character orbit:	$[\chi]$	$=$	2070.bn (of order $66$ and degree $20$)
Character conductor:	$\operatorname{cond}(\chi)$	$=$	$1035$
Character field:			$\Q(\zeta_{66})$
Sturm bound:			$864$

Dimensions

The following table gives the dimensions of various subspaces of $M_{2}(2070, [\chi])$.

	Total	New	Old
Modular forms	8800	2880	5920
Cusp forms	8480	2880	5600
Eisenstein series	320	0	320

Trace form

2880 * q - 144 * q^4 + 4 * q^5 - 8 * q^6 + 4 * q^9 - 8 * q^11 + 20 * q^14 - 16 * q^15 + 144 * q^16 - 4 * q^20 + 8 * q^21 - 4 * q^24 - 12 * q^25 + 4 * q^29 + 36 * q^30 + 24 * q^31 + 8 * q^36 - 20 * q^41 - 16 * q^44 - 8 * q^45 + 12 * q^46 - 198 * q^49 + 8 * q^50 - 32 * q^51 + 18 * q^54 + 24 * q^55 + 2 * q^56 + 136 * q^59 + 30 * q^60 - 12 * q^61 + 288 * q^64 - 134 * q^65 - 72 * q^66 + 242 * q^69 - 360 * q^71 - 32 * q^74 + 100 * q^75 + 36 * q^80 - 236 * q^81 + 26 * q^84 - 76 * q^86 + 56 * q^89 + 36 * q^90 + 12 * q^94 - 4 * q^95 + 4 * q^96 - 120 * q^99

Decomposition of $S_{2}^{\mathrm{new}}(2070, [\chi])$ into newform subspaces

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

Decomposition of $S_{2}^{\mathrm{old}}(2070, [\chi])$ into lower level spaces

$S_{2}^{\mathrm{old}}(2070, [\chi]) \simeq$ $S_{2}^{\mathrm{new}}(1035, [\chi])$$^{\oplus 2}$