Space of modular forms of level 3234, weight 2, and Character 3234.ci

• Label: 3234.2.ci
• Level: $3234$
• Weight: $2$
• Character orbit: 3234.ci
• Rep. character: $\chi_{3234}(95,\cdot)$
• Character field: $\Q(\zeta_{210})$
• Dimension: $10752$
• Sturm bound: $1344$

Defining parameters

Level:	\( N \)	\(=\)	\( 3234 = 2 \cdot 3 \cdot 7^{2} \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	3234.ci (of order \(210\) and degree \(48\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 1617 \)
Character field:			\(\Q(\zeta_{210})\)
Sturm bound:			\(1344\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(3234, [\chi])\).

	Total	New	Old
Modular forms	32640	10752	21888
Cusp forms	31872	10752	21120
Eisenstein series	768	0	768

Trace form

10752 * q - 224 * q^4 - 224 * q^16 - 10 * q^22 + 228 * q^25 - 90 * q^27 + 10 * q^28 + 6 * q^31 - 24 * q^33 + 32 * q^34 + 4 * q^37 + 130 * q^40 + 108 * q^42 - 28 * q^45 + 148 * q^49 - 238 * q^55 + 80 * q^57 + 388 * q^58 - 80 * q^61 + 100 * q^63 + 448 * q^64 + 48 * q^66 - 32 * q^67 + 80 * q^69 + 84 * q^70 + 20 * q^72 - 20 * q^73 + 28 * q^75 - 32 * q^78 + 204 * q^81 + 16 * q^82 + 40 * q^84 + 160 * q^85 - 2 * q^88 + 160 * q^90 + 200 * q^91 + 10 * q^93 - 640 * q^94 + 32 * q^97 - 760 * q^99

Decomposition of \(S_{2}^{\mathrm{new}}(3234, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(3234, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(3234, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(1617, [\chi])\)\(^{\oplus 2}\)