Space of modular forms of level 3971, weight 2, and Character 3971.v

• Label: 3971.2.v
• Level: $3971$
• Weight: $2$
• Character orbit: 3971.v
• Rep. character: $\chi_{3971}(208,\cdot)$
• Character field: $\Q(\zeta_{38})$
• Dimension: $6804$
• Sturm bound: $760$

Defining parameters

Level:	\( N \)	\(=\)	\( 3971 = 11 \cdot 19^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	3971.v (of order \(38\) and degree \(18\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 3971 \)
Character field:			\(\Q(\zeta_{38})\)
Sturm bound:			\(760\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(3971, [\chi])\).

	Total	New	Old
Modular forms	6876	6876	0
Cusp forms	6804	6804	0
Eisenstein series	72	72	0

Trace form

6804 * q - 410 * q^4 - 34 * q^5 + 238 * q^9 - 23 * q^11 - 38 * q^12 - 114 * q^14 - 38 * q^15 - 398 * q^16 + 10 * q^20 - 152 * q^22 - 30 * q^23 - 428 * q^25 - 42 * q^26 - 38 * q^31 - 57 * q^33 - 38 * q^34 + 394 * q^36 - 38 * q^37 + 32 * q^38 - 166 * q^42 - 69 * q^44 - 82 * q^45 - 148 * q^47 - 456 * q^48 + 432 * q^49 - 38 * q^53 - q^55 + 456 * q^56 - 66 * q^58 - 38 * q^59 - 38 * q^60 - 398 * q^64 - 11 * q^66 - 38 * q^67 - 38 * q^70 - 38 * q^71 - 38 * q^75 - 27 * q^77 - 38 * q^78 - 290 * q^80 - 618 * q^81 + 74 * q^82 - 19 * q^88 + 190 * q^89 - 114 * q^91 - 58 * q^92 - 134 * q^93 - 152 * q^97 - 2 * q^99

Decomposition of \(S_{2}^{\mathrm{new}}(3971, [\chi])\) into newform subspaces

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