Space of modular forms of level 2156, weight 2, and Character 2156.cl

• Label: 2156.2.cl
• Level: $2156$
• Weight: $2$
• Character orbit: 2156.cl
• Rep. character: $\chi_{2156}(17,\cdot)$
• Character field: $\Q(\zeta_{210})$
• Dimension: $2688$
• Sturm bound: $672$

Defining parameters

Level:	\( N \)	\(=\)	\( 2156 = 2^{2} \cdot 7^{2} \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	2156.cl (of order \(210\) and degree \(48\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 539 \)
Character field:			\(\Q(\zeta_{210})\)
Sturm bound:			\(672\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2156, [\chi])\).

	Total	New	Old
Modular forms	16416	2688	13728
Cusp forms	15840	2688	13152
Eisenstein series	576	0	576

Trace form

2688 * q + 6 * q^5 - 5 * q^7 + 56 * q^9 - 6 * q^11 + 30 * q^15 - 5 * q^17 - 44 * q^23 + 50 * q^25 + 63 * q^27 - 20 * q^29 + 18 * q^31 - 54 * q^33 + 45 * q^35 + 10 * q^37 - 116 * q^45 - 47 * q^47 + 103 * q^49 + 260 * q^51 + 70 * q^53 - 105 * q^55 + 80 * q^57 - 58 * q^59 + 15 * q^61 - 35 * q^63 + 40 * q^67 - 56 * q^69 + 36 * q^71 - 60 * q^73 + 126 * q^75 - 4 * q^77 + 15 * q^79 - 188 * q^81 + 50 * q^85 + 18 * q^89 + 166 * q^91 + 9 * q^93 + 5 * q^95 - 396 * q^99

Decomposition of \(S_{2}^{\mathrm{new}}(2156, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(2156, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(2156, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(539, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1078, [\chi])\)\(^{\oplus 2}\)