Space of modular forms of level 3900, weight 2, and Character 3900.ck

• Label: 3900.2.ck
• Level: $3900$
• Weight: $2$
• Character orbit: 3900.ck
• Rep. character: $\chi_{3900}(779,\cdot)$
• Character field: $\Q(\zeta_{10})$
• Dimension: $3328$
• Sturm bound: $1680$

Defining parameters

Level:	\( N \)	\(=\)	\( 3900 = 2^{2} \cdot 3 \cdot 5^{2} \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	3900.ck (of order \(10\) and degree \(4\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 3900 \)
Character field:			\(\Q(\zeta_{10})\)
Sturm bound:			\(1680\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(3900, [\chi])\).

	Total	New	Old
Modular forms	3392	3392	0
Cusp forms	3328	3328	0
Eisenstein series	64	64	0

Trace form

\( 3328 q - 12 q^{4} - 12 q^{9} + O(q^{10}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(3900, [\chi])\) into newform subspaces

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