Space of modular forms of level 1596, weight 2, and Character 1596.c

• Label: 1596.2.c
• Level: $1596$
• Weight: $2$
• Character orbit: 1596.c
• Rep. character: $\chi_{1596}(1483,\cdot)$
• Character field: $\Q$
• Dimension: $144$
• Sturm bound: $640$

Defining parameters

Level:	\( N \)	\(=\)	\( 1596 = 2^{2} \cdot 3 \cdot 7 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	1596.c (of order \(2\) and degree \(1\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 28 \)
Character field:			\(\Q\)
Sturm bound:			\(640\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1596, [\chi])\).

	Total	New	Old
Modular forms	328	144	184
Cusp forms	312	144	168
Eisenstein series	16	0	16

Trace form

144 * q + 4 * q^2 - 4 * q^4 + 4 * q^8 + 144 * q^9 + 16 * q^14 + 28 * q^16 + 4 * q^18 - 24 * q^22 - 128 * q^25 - 4 * q^28 + 32 * q^29 - 32 * q^30 + 4 * q^32 - 4 * q^36 + 32 * q^37 + 32 * q^42 - 56 * q^44 + 64 * q^46 + 8 * q^49 - 100 * q^50 - 32 * q^53 + 52 * q^56 + 24 * q^58 + 40 * q^60 - 52 * q^64 + 28 * q^70 + 4 * q^72 + 56 * q^74 + 24 * q^77 + 24 * q^78 + 144 * q^81 - 8 * q^84 - 48 * q^85 + 64 * q^86 - 16 * q^88 + 56 * q^92 - 24 * q^98

Decomposition of \(S_{2}^{\mathrm{new}}(1596, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(1596, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(1596, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(28, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(84, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(532, [\chi])\)\(^{\oplus 2}\)