Space of modular forms of level 1740, weight 2, and Character 1740.br

• Label: 1740.2.br
• Level: $1740$
• Weight: $2$
• Character orbit: 1740.br
• Rep. character: $\chi_{1740}(239,\cdot)$
• Character field: $\Q(\zeta_{14})$
• Dimension: $2112$
• Sturm bound: $720$

Defining parameters

Level:	\( N \)	\(=\)	\( 1740 = 2^{2} \cdot 3 \cdot 5 \cdot 29 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	1740.br (of order \(14\) and degree \(6\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 1740 \)
Character field:			\(\Q(\zeta_{14})\)
Sturm bound:			\(720\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1740, [\chi])\).

	Total	New	Old
Modular forms	2208	2208	0
Cusp forms	2112	2112	0
Eisenstein series	96	96	0

Trace form

2112 * q - 20 * q^4 - 18 * q^6 - 20 * q^9 - 2 * q^10 - 20 * q^16 + 12 * q^21 - 50 * q^24 - 34 * q^30 - 92 * q^34 + 6 * q^36 - 6 * q^40 - 30 * q^45 - 64 * q^46 - 360 * q^49 - 18 * q^54 - 28 * q^60 - 72 * q^61 + 52 * q^64 - 26 * q^66 - 36 * q^69 + 96 * q^70 - 28 * q^76 - 60 * q^81 - 130 * q^84 - 104 * q^85 - 17 * q^90 - 60 * q^94 - 58 * q^96

Decomposition of \(S_{2}^{\mathrm{new}}(1740, [\chi])\) into newform subspaces

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