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

• Label: 3234.2.ck
• Level: $3234$
• Weight: $2$
• Character orbit: 3234.ck
• Rep. character: $\chi_{3234}(61,\cdot)$
• Character field: $\Q(\zeta_{210})$
• Dimension: $5376$
• Sturm bound: $1344$

Defining parameters

Level:	\( N \)	\(=\)	\( 3234 = 2 \cdot 3 \cdot 7^{2} \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	3234.ck (of order \(210\) and degree \(48\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 539 \)
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	5376	27264
Cusp forms	31872	5376	26496
Eisenstein series	768	0	768

Trace form

5376 * q + 112 * q^4 + 24 * q^5 - 20 * q^7 + 112 * q^9 - 36 * q^11 - 4 * q^14 - 30 * q^15 - 112 * q^16 - 200 * q^17 - 56 * q^20 - 18 * q^22 - 8 * q^23 + 108 * q^25 - 32 * q^26 + 10 * q^28 + 40 * q^29 - 18 * q^31 + 6 * q^33 - 40 * q^35 + 224 * q^36 + 20 * q^37 + 88 * q^38 + 110 * q^40 - 54 * q^42 - 68 * q^44 - 88 * q^45 - 188 * q^47 + 152 * q^49 + 520 * q^51 - 112 * q^53 + 42 * q^55 - 104 * q^56 + 4 * q^58 + 56 * q^59 + 52 * q^60 + 60 * q^61 + 280 * q^62 - 20 * q^63 - 224 * q^64 + 60 * q^68 + 92 * q^70 - 48 * q^71 - 240 * q^73 + 40 * q^74 - 24 * q^75 + 164 * q^77 + 60 * q^79 + 36 * q^80 - 112 * q^81 + 96 * q^82 + 40 * q^85 + 288 * q^86 + 130 * q^88 + 440 * q^89 + 68 * q^91 - 16 * q^92 + 16 * q^93 + 140 * q^94 + 20 * q^95 - 16 * 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

\( S_{2}^{\mathrm{old}}(3234, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(539, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1078, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1617, [\chi])\)\(^{\oplus 2}\)