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

• Label: 435.4.bf
• Level: $435$
• Weight: $4$
• Character orbit: 435.bf
• Rep. character: $\chi_{435}(11,\cdot)$
• Character field: $\Q(\zeta_{28})$
• Dimension: $1440$
• Sturm bound: $240$

Defining parameters

Level:	\( N \)	\(=\)	\( 435 = 3 \cdot 5 \cdot 29 \)
Weight:	\( k \)	\(=\)	\( 4 \)
Character orbit:	\([\chi]\)	\(=\)	435.bf (of order \(28\) and degree \(12\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 87 \)
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	1440	768
Cusp forms	2112	1440	672
Eisenstein series	96	0	96

Trace form

1440 * q - 156 * q^12 + 40 * q^15 + 2880 * q^16 + 372 * q^18 - 56 * q^21 + 1440 * q^24 - 6000 * q^25 + 2112 * q^27 + 24 * q^31 + 672 * q^33 + 360 * q^36 - 240 * q^37 - 2456 * q^39 - 576 * q^43 - 11616 * q^46 - 1216 * q^48 - 12960 * q^49 + 2664 * q^52 + 1136 * q^54 - 360 * q^55 - 6216 * q^58 - 640 * q^60 + 4728 * q^61 + 7560 * q^64 + 608 * q^66 - 3696 * q^67 - 504 * q^69 - 360 * q^70 + 20012 * q^72 + 4848 * q^73 + 5088 * q^76 - 3296 * q^78 - 4488 * q^79 - 5336 * q^81 - 5856 * q^82 - 18032 * q^84 + 1440 * q^85 - 16792 * q^87 - 27312 * q^88 + 2180 * q^90 - 4928 * q^93 - 16584 * q^94 - 22260 * q^96 - 96 * q^97 - 2664 * q^99

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

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

Decomposition of \(S_{4}^{\mathrm{old}}(435, [\chi])\) into lower level spaces

\( S_{4}^{\mathrm{old}}(435, [\chi]) \simeq \) \(S_{4}^{\mathrm{new}}(87, [\chi])\)\(^{\oplus 2}\)