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

• Label: 435.4.bj
• Level: $435$
• Weight: $4$
• Character orbit: 435.bj
• Rep. character: $\chi_{435}(23,\cdot)$
• Character field: $\Q(\zeta_{28})$
• Dimension: $2112$
• Sturm bound: $240$

Defining parameters

Level:	\( N \)	\(=\)	\( 435 = 3 \cdot 5 \cdot 29 \)
Weight:	\( k \)	\(=\)	\( 4 \)
Character orbit:	\([\chi]\)	\(=\)	435.bj (of order \(28\) and degree \(12\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 435 \)
Character field:			\(\Q(\zeta_{28})\)
Sturm bound:			\(240\)

Dimensions

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

	Total	New	Old
Modular forms	2208	2208	0
Cusp forms	2112	2112	0
Eisenstein series	96	96	0

Trace form

2112 * q - 10 * q^3 - 60 * q^6 + 4 * q^7 + 28 * q^10 - 164 * q^12 + 172 * q^13 - 178 * q^15 + 5208 * q^16 - 1168 * q^18 - 1032 * q^21 + 252 * q^22 - 20 * q^25 + 650 * q^27 - 1072 * q^28 - 524 * q^30 - 472 * q^31 - 322 * q^33 - 1188 * q^36 + 1564 * q^37 + 2348 * q^40 + 930 * q^42 + 1540 * q^43 - 1302 * q^45 - 2400 * q^46 + 1950 * q^48 - 548 * q^51 + 1516 * q^52 - 2532 * q^55 + 1372 * q^57 + 9488 * q^58 - 2942 * q^60 - 184 * q^61 - 3638 * q^63 + 236 * q^66 - 404 * q^67 + 9880 * q^70 - 678 * q^72 - 5540 * q^73 + 6432 * q^75 + 232 * q^76 + 5562 * q^78 + 2084 * q^81 + 5132 * q^82 - 14228 * q^85 - 6818 * q^87 - 2144 * q^88 - 12186 * q^90 - 5080 * q^91 + 1086 * q^93 - 3980 * q^96 + 8164 * q^97

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

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