Space of modular forms of level 3424, weight 2, and Character 3424.b

• Label: 3424.2.b
• Level: $3424$
• Weight: $2$
• Character orbit: 3424.b
• Rep. character: $\chi_{3424}(1713,\cdot)$
• Character field: $\Q$
• Dimension: $106$
• Sturm bound: $864$

Defining parameters

Level:	\( N \)	\(=\)	\( 3424 = 2^{5} \cdot 107 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	3424.b (of order \(2\) and degree \(1\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 8 \)
Character field:			\(\Q\)
Sturm bound:			\(864\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(3424, [\chi])\).

	Total	New	Old
Modular forms	440	106	334
Cusp forms	424	106	318
Eisenstein series	16	0	16

Trace form

106 * q - 106 * q^9 - 4 * q^17 + 12 * q^23 - 102 * q^25 - 8 * q^39 + 4 * q^41 - 20 * q^47 + 90 * q^49 - 32 * q^55 + 16 * q^57 + 40 * q^63 + 16 * q^65 - 4 * q^73 - 20 * q^79 + 106 * q^81 + 48 * q^87 - 20 * q^89 + 40 * q^95 - 20 * q^97

Decomposition of \(S_{2}^{\mathrm{new}}(3424, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(3424, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(3424, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(856, [\chi])\)\(^{\oplus 3}\)