Space of modular forms of level 1900, weight 2, and Character 1900.t

• Label: 1900.2.t
• Level: $1900$
• Weight: $2$
• Character orbit: 1900.t
• Rep. character: $\chi_{1900}(1399,\cdot)$
• Character field: $\Q(\zeta_{6})$
• Dimension: $352$
• Sturm bound: $600$

Defining parameters

Level:	\( N \)	\(=\)	\( 1900 = 2^{2} \cdot 5^{2} \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	1900.t (of order \(6\) and degree \(2\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 380 \)
Character field:			\(\Q(\zeta_{6})\)
Sturm bound:			\(600\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1900, [\chi])\).

	Total	New	Old
Modular forms	624	368	256
Cusp forms	576	352	224
Eisenstein series	48	16	32

Trace form

\( 352 q - 2 q^{4} + 2 q^{6} + 172 q^{9} + O(q^{10}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(1900, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(1900, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(1900, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(380, [\chi])\)\(^{\oplus 2}\)