Space of modular forms of level 2032, weight 4, and Character 2032.v

• Label: 2032.4.v
• Level: $2032$
• Weight: $4$
• Character orbit: 2032.v
• Rep. character: $\chi_{2032}(353,\cdot)$
• Character field: $\Q(\zeta_{9})$
• Dimension: $1146$
• Sturm bound: $1024$

Defining parameters

Level:	\( N \)	\(=\)	\( 2032 = 2^{4} \cdot 127 \)
Weight:	\( k \)	\(=\)	\( 4 \)
Character orbit:	\([\chi]\)	\(=\)	2032.v (of order \(9\) and degree \(6\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 127 \)
Character field:			\(\Q(\zeta_{9})\)
Sturm bound:			\(1024\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{4}(2032, [\chi])\).

	Total	New	Old
Modular forms	4644	1158	3486
Cusp forms	4572	1146	3426
Eisenstein series	72	12	60

Trace form

1146 * q + 6 * q^3 - 3 * q^5 + 6 * q^7 - 6 * q^9 - 24 * q^11 - 6 * q^13 - 75 * q^15 - 6 * q^17 + 3 * q^19 + 198 * q^21 + 6 * q^23 - 14028 * q^25 - 645 * q^27 - 138 * q^29 + 726 * q^31 - 75 * q^33 - 369 * q^35 - 18 * q^37 + 186 * q^39 + 438 * q^41 + 48 * q^43 + 369 * q^45 + 3 * q^47 - 462 * q^49 - 1833 * q^51 - 1134 * q^53 - 1773 * q^55 + 579 * q^57 - 402 * q^59 - 3 * q^61 - 11544 * q^63 + 1065 * q^65 + 2670 * q^67 - 6 * q^69 - 816 * q^71 - 3 * q^73 - 2700 * q^75 - 3 * q^77 - 2370 * q^79 - 381 * q^81 - 336 * q^83 + 369 * q^85 + 3045 * q^87 - 3 * q^89 - 6918 * q^91 + 6402 * q^93 + 1518 * q^95 - 6 * q^97 + 10389 * q^99

Decomposition of \(S_{4}^{\mathrm{new}}(2032, [\chi])\) into newform subspaces

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

Decomposition of \(S_{4}^{\mathrm{old}}(2032, [\chi])\) into lower level spaces

\( S_{4}^{\mathrm{old}}(2032, [\chi]) \simeq \) \(S_{4}^{\mathrm{new}}(127, [\chi])\)\(^{\oplus 5}\)\(\oplus\)\(S_{4}^{\mathrm{new}}(254, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{4}^{\mathrm{new}}(508, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{4}^{\mathrm{new}}(1016, [\chi])\)\(^{\oplus 2}\)