Space of modular forms of level 435, weight 4, and Character 435.p

• Label: 435.4.p
• Level: $435$
• Weight: $4$
• Character orbit: 435.p
• Rep. character: $\chi_{435}(173,\cdot)$
• Character field: $\Q(\zeta_{4})$
• Dimension: $352$
• Sturm bound: $240$

Defining parameters

Level:	\( N \)	\(=\)	\( 435 = 3 \cdot 5 \cdot 29 \)
Weight:	\( k \)	\(=\)	\( 4 \)
Character orbit:	\([\chi]\)	\(=\)	435.p (of order \(4\) and degree \(2\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 435 \)
Character field:			\(\Q(i)\)
Sturm bound:			\(240\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{4}(435, [\chi])\).

	Total	New	Old
Modular forms	368	368	0
Cusp forms	352	352	0
Eisenstein series	16	16	0

Trace form

352 * q + 8 * q^6 + 16 * q^7 - 56 * q^13 - 5264 * q^16 - 408 * q^22 - 8 * q^25 + 1144 * q^28 + 496 * q^30 - 316 * q^33 + 856 * q^36 - 792 * q^42 - 536 * q^45 - 1368 * q^51 - 520 * q^52 + 1392 * q^57 + 316 * q^58 - 888 * q^63 + 184 * q^67 - 2008 * q^78 - 3200 * q^81 - 5064 * q^82 - 1180 * q^87 + 2088 * q^88 + 2000 * q^91 + 1092 * q^93 + 368 * q^96

Decomposition of \(S_{4}^{\mathrm{new}}(435, [\chi])\) into newform subspaces

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