Space of modular forms of level 1968, weight 2, and Character 1968.bc

• Label: 1968.2.bc
• Level: $1968$
• Weight: $2$
• Character orbit: 1968.bc
• Rep. character: $\chi_{1968}(155,\cdot)$
• Character field: $\Q(\zeta_{4})$
• Dimension: $664$
• Sturm bound: $672$

Defining parameters

Level:	\( N \)	\(=\)	\( 1968 = 2^{4} \cdot 3 \cdot 41 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	1968.bc (of order \(4\) and degree \(2\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 1968 \)
Character field:			\(\Q(i)\)
Sturm bound:			\(672\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1968, [\chi])\).

	Total	New	Old
Modular forms	680	680	0
Cusp forms	664	664	0
Eisenstein series	16	16	0

Trace form

664 * q - 4 * q^3 - 8 * q^4 - 4 * q^6 - 8 * q^7 - 8 * q^10 - 14 * q^12 + 12 * q^15 - 8 * q^16 + 4 * q^18 - 12 * q^21 - 8 * q^22 + 4 * q^24 - 28 * q^27 - 32 * q^28 - 34 * q^30 - 40 * q^36 - 8 * q^37 - 8 * q^40 - 4 * q^42 + 32 * q^43 + 16 * q^45 - 34 * q^48 - 4 * q^51 + 48 * q^52 - 26 * q^54 - 40 * q^55 - 48 * q^58 + 70 * q^60 - 80 * q^64 + 28 * q^66 + 8 * q^69 - 16 * q^70 + 56 * q^76 - 12 * q^78 - 8 * q^81 - 32 * q^82 - 40 * q^84 - 48 * q^85 - 88 * q^88 - 76 * q^90 + 56 * q^91 + 84 * q^94 - 56 * q^96 - 8 * q^97

Decomposition of \(S_{2}^{\mathrm{new}}(1968, [\chi])\) into newform subspaces

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