Space of modular forms of level 2142, weight 4, and Character 2142.cr

• Label: 2142.4.cr
• Level: $2142$
• Weight: $4$
• Character orbit: 2142.cr
• Rep. character: $\chi_{2142}(739,\cdot)$
• Character field: $\Q(\zeta_{24})$
• Dimension: $1440$
• Sturm bound: $1728$

Defining parameters

Level:	\( N \)	\(=\)	\( 2142 = 2 \cdot 3^{2} \cdot 7 \cdot 17 \)
Weight:	\( k \)	\(=\)	\( 4 \)
Character orbit:	\([\chi]\)	\(=\)	2142.cr (of order \(24\) and degree \(8\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 119 \)
Character field:			\(\Q(\zeta_{24})\)
Sturm bound:			\(1728\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{4}(2142, [\chi])\).

	Total	New	Old
Modular forms	10496	1440	9056
Cusp forms	10240	1440	8800
Eisenstein series	256	0	256

Trace form

1440 * q + 32 * q^5 + 112 * q^11 + 80 * q^14 + 11520 * q^16 + 8 * q^17 - 224 * q^22 - 336 * q^23 + 448 * q^25 - 128 * q^28 + 496 * q^35 - 96 * q^37 + 1408 * q^41 - 1248 * q^43 - 128 * q^44 - 1344 * q^46 + 3640 * q^49 + 448 * q^50 - 832 * q^52 - 2592 * q^53 + 768 * q^58 - 992 * q^59 - 1512 * q^61 + 3936 * q^62 + 512 * q^65 - 224 * q^67 + 1728 * q^70 - 2496 * q^71 + 384 * q^73 - 832 * q^74 + 6336 * q^77 + 656 * q^79 - 512 * q^80 - 5552 * q^83 - 12192 * q^85 - 1152 * q^88 - 2336 * q^91 + 448 * q^92 - 192 * q^94 - 48 * q^95 - 9216 * q^97

Decomposition of \(S_{4}^{\mathrm{new}}(2142, [\chi])\) into newform subspaces

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

Decomposition of \(S_{4}^{\mathrm{old}}(2142, [\chi])\) into lower level spaces

\( S_{4}^{\mathrm{old}}(2142, [\chi]) \simeq \) \(S_{4}^{\mathrm{new}}(119, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{4}^{\mathrm{new}}(238, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{4}^{\mathrm{new}}(357, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{4}^{\mathrm{new}}(714, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{4}^{\mathrm{new}}(1071, [\chi])\)\(^{\oplus 2}\)