Space of modular forms of level 1872, weight 2, and Character 1872.bq

• Label: 1872.2.bq
• Level: $1872$
• Weight: $2$
• Character orbit: 1872.bq
• Rep. character: $\chi_{1872}(307,\cdot)$
• Character field: $\Q(\zeta_{4})$
• Dimension: $276$
• Sturm bound: $672$

Defining parameters

Level:	\( N \)	\(=\)	\( 1872 = 2^{4} \cdot 3^{2} \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	1872.bq (of order \(4\) and degree \(2\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 208 \)
Character field:			\(\Q(i)\)
Sturm bound:			\(672\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1872, [\chi])\).

	Total	New	Old
Modular forms	688	284	404
Cusp forms	656	276	380
Eisenstein series	32	8	24

Trace form

276 * q + 2 * q^2 + 4 * q^5 - 4 * q^7 - 4 * q^8 - 16 * q^10 + 4 * q^11 - 2 * q^13 - 12 * q^14 - 4 * q^16 - 4 * q^19 + 8 * q^20 - 12 * q^22 + 260 * q^25 - 10 * q^26 + 28 * q^28 + 4 * q^29 - 28 * q^32 + 32 * q^34 + 4 * q^35 + 8 * q^38 + 36 * q^40 - 16 * q^43 - 4 * q^44 - 24 * q^46 + 70 * q^50 + 4 * q^53 + 24 * q^55 - 20 * q^56 + 60 * q^58 + 60 * q^59 - 4 * q^61 - 36 * q^64 + 4 * q^65 - 4 * q^67 - 24 * q^68 - 36 * q^70 + 36 * q^71 + 8 * q^73 + 60 * q^74 + 52 * q^76 + 28 * q^77 + 32 * q^80 + 24 * q^82 - 36 * q^83 - 32 * q^88 + 8 * q^89 - 8 * q^91 + 4 * q^94 + 40 * q^95 - 4 * q^97 + 30 * q^98

Decomposition of \(S_{2}^{\mathrm{new}}(1872, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(1872, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(1872, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(208, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(624, [\chi])\)\(^{\oplus 2}\)