Space of modular forms of level 2340, weight 2, and Character 2340.t

• Label: 2340.2.t
• Level: $2340$
• Weight: $2$
• Character orbit: 2340.t
• Rep. character: $\chi_{2340}(61,\cdot)$
• Character field: $\Q(\zeta_{3})$
• Dimension: $112$
• Sturm bound: $1008$

Defining parameters

Level:	\( N \)	\(=\)	\( 2340 = 2^{2} \cdot 3^{2} \cdot 5 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	2340.t (of order \(3\) and degree \(2\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 117 \)
Character field:			\(\Q(\zeta_{3})\)
Sturm bound:			\(1008\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2340, [\chi])\).

	Total	New	Old
Modular forms	1032	112	920
Cusp forms	984	112	872
Eisenstein series	48	0	48

Trace form

112 * q + 8 * q^7 + 2 * q^9 + 4 * q^11 - 2 * q^13 - 4 * q^15 + 16 * q^17 + 2 * q^19 - 30 * q^21 - 56 * q^25 - 12 * q^27 - 2 * q^29 - 4 * q^31 + 22 * q^33 + 8 * q^35 + 2 * q^37 - 26 * q^39 + 8 * q^41 + 8 * q^43 + 16 * q^45 - 12 * q^47 + 120 * q^49 - 16 * q^51 - 64 * q^53 + 30 * q^57 + 8 * q^59 - 28 * q^61 + 56 * q^63 - 4 * q^65 - 28 * q^67 + 16 * q^69 + 20 * q^71 - 28 * q^73 + 40 * q^77 - 4 * q^79 + 2 * q^81 - 6 * q^83 - 6 * q^85 + 32 * q^89 - 4 * q^91 + 58 * q^93 - 4 * q^95 - 4 * q^97 + 26 * q^99

Decomposition of \(S_{2}^{\mathrm{new}}(2340, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(2340, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(2340, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(117, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(234, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(468, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(585, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1170, [\chi])\)\(^{\oplus 2}\)