Space of modular forms of level 1776, weight 2, and Character 1776.ch

• Label: 1776.2.ch
• Level: $1776$
• Weight: $2$
• Character orbit: 1776.ch
• Rep. character: $\chi_{1776}(29,\cdot)$
• Character field: $\Q(\zeta_{12})$
• Dimension: $1200$
• Sturm bound: $608$

Defining parameters

Level:	\( N \)	\(=\)	\( 1776 = 2^{4} \cdot 3 \cdot 37 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	1776.ch (of order \(12\) and degree \(4\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 1776 \)
Character field:			\(\Q(\zeta_{12})\)
Sturm bound:			\(608\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1776, [\chi])\).

	Total	New	Old
Modular forms	1232	1232	0
Cusp forms	1200	1200	0
Eisenstein series	32	32	0

Trace form

1200 * q - 6 * q^3 - 12 * q^4 - 16 * q^10 + 28 * q^12 - 4 * q^13 - 8 * q^15 + 12 * q^16 + 18 * q^18 - 4 * q^19 - 6 * q^21 + 16 * q^22 + 18 * q^24 - 568 * q^25 - 12 * q^28 - 74 * q^30 - 16 * q^31 - 4 * q^33 + 12 * q^34 + 32 * q^36 - 8 * q^37 + 12 * q^39 - 32 * q^40 - 22 * q^42 + 12 * q^45 - 52 * q^46 + 28 * q^48 + 544 * q^49 + 28 * q^52 - 72 * q^54 + 40 * q^55 + 12 * q^57 - 20 * q^58 + 60 * q^60 - 12 * q^61 - 72 * q^63 - 76 * q^66 - 12 * q^67 + 4 * q^69 + 144 * q^70 - 18 * q^72 + 4 * q^75 + 96 * q^76 - 18 * q^78 - 16 * q^79 - 4 * q^81 - 36 * q^82 + 76 * q^84 + 40 * q^85 - 24 * q^87 - 132 * q^88 + 28 * q^90 - 12 * q^91 + 4 * q^93 + 56 * q^94 + 40 * q^96 - 16 * q^97 + 16 * q^99

Decomposition of \(S_{2}^{\mathrm{new}}(1776, [\chi])\) into newform subspaces

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