Space of modular forms of level 3400, weight 2, and Character 3400.cr

• Label: 3400.2.cr
• Level: $3400$
• Weight: $2$
• Character orbit: 3400.cr
• Rep. character: $\chi_{3400}(509,\cdot)$
• Character field: $\Q(\zeta_{10})$
• Dimension: $2144$
• Sturm bound: $1080$

Defining parameters

Level:	\( N \)	\(=\)	\( 3400 = 2^{3} \cdot 5^{2} \cdot 17 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	3400.cr (of order \(10\) and degree \(4\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 3400 \)
Character field:			\(\Q(\zeta_{10})\)
Sturm bound:			\(1080\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(3400, [\chi])\).

	Total	New	Old
Modular forms	2176	2176	0
Cusp forms	2144	2144	0
Eisenstein series	32	32	0

Trace form

2144 * q - 10 * q^2 - 6 * q^4 - 10 * q^8 + 516 * q^9 - 28 * q^15 - 6 * q^16 - 10 * q^17 - 12 * q^25 - 8 * q^26 - 62 * q^30 - 20 * q^33 - 23 * q^34 - 32 * q^36 - 10 * q^38 - 120 * q^42 - 20 * q^47 + 2016 * q^49 - 52 * q^50 - 10 * q^52 + 4 * q^55 + 80 * q^60 - 6 * q^64 + 88 * q^66 - 12 * q^70 - 40 * q^72 - 32 * q^76 - 540 * q^81 - 124 * q^84 + 22 * q^86 - 20 * q^87 - 72 * q^89 + 34 * q^94 - 30 * q^98

Decomposition of \(S_{2}^{\mathrm{new}}(3400, [\chi])\) into newform subspaces

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