Space of modular forms of level 2368, weight 2, and Character 2368.n

• Label: 2368.2.n
• Level: $2368$
• Weight: $2$
• Character orbit: 2368.n
• Rep. character: $\chi_{2368}(369,\cdot)$
• Character field: $\Q(\zeta_{4})$
• Dimension: $148$
• Sturm bound: $608$

Defining parameters

Level:	\( N \)	\(=\)	\( 2368 = 2^{6} \cdot 37 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	2368.n (of order \(4\) and degree \(2\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 592 \)
Character field:			\(\Q(i)\)
Sturm bound:			\(608\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2368, [\chi])\).

	Total	New	Old
Modular forms	624	156	468
Cusp forms	592	148	444
Eisenstein series	32	8	24

Trace form

\( 148 q + 4 q^{3} + O(q^{10}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(2368, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(2368, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(2368, [\chi]) \cong \)