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

• Label: 2032.4.ce
• Level: $2032$
• Weight: $4$
• Character orbit: 2032.ce
• Rep. character: $\chi_{2032}(17,\cdot)$
• Character field: $\Q(\zeta_{63})$
• Dimension: $6876$
• Sturm bound: $1024$

Defining parameters

Level:	\( N \)	\(=\)	\( 2032 = 2^{4} \cdot 127 \)
Weight:	\( k \)	\(=\)	\( 4 \)
Character orbit:	\([\chi]\)	\(=\)	2032.ce (of order \(63\) and degree \(36\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 127 \)
Character field:			\(\Q(\zeta_{63})\)
Sturm bound:			\(1024\)

Dimensions

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

	Total	New	Old
Modular forms	27864	6948	20916
Cusp forms	27432	6876	20556
Eisenstein series	432	72	360

Trace form

6876 * q + 36 * q^3 - 39 * q^5 + 36 * q^7 - 36 * q^9 + 66 * q^11 - 36 * q^13 + 117 * q^15 - 36 * q^17 + 18 * q^19 + 1188 * q^21 + 36 * q^23 + 13986 * q^25 + 687 * q^27 + 96 * q^29 - 684 * q^31 - 219 * q^33 + 411 * q^35 - 24 * q^37 - 144 * q^39 - 480 * q^41 - 6 * q^43 - 411 * q^45 + 39 * q^47 + 420 * q^49 + 1875 * q^51 + 1092 * q^53 + 1815 * q^55 - 54 * q^57 + 444 * q^59 - 39 * q^61 + 11586 * q^63 - 1107 * q^65 - 2628 * q^67 - 36 * q^69 - 6072 * q^71 - 39 * q^73 - 1416 * q^75 - 39 * q^77 + 2412 * q^79 + 339 * q^81 + 378 * q^83 - 411 * q^85 - 3003 * q^87 - 39 * q^89 + 6960 * q^91 - 6444 * q^93 - 4101 * q^95 - 36 * q^97 - 10347 * 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

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