Space of modular forms of level 1421, weight 2, and Character 1421.cv

• Label: 1421.2.cv
• Level: $1421$
• Weight: $2$
• Character orbit: 1421.cv
• Rep. character: $\chi_{1421}(4,\cdot)$
• Character field: $\Q(\zeta_{42})$
• Dimension: $1656$
• Sturm bound: $280$

Defining parameters

Level:	\( N \)	\(=\)	\( 1421 = 7^{2} \cdot 29 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	1421.cv (of order \(42\) and degree \(12\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 1421 \)
Character field:			\(\Q(\zeta_{42})\)
Sturm bound:			\(280\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1421, [\chi])\).

	Total	New	Old
Modular forms	1704	1704	0
Cusp forms	1656	1656	0
Eisenstein series	48	48	0

Trace form

1656 * q - 14 * q^2 - 14 * q^3 - 148 * q^4 - 16 * q^5 + 4 * q^6 - 6 * q^7 - 150 * q^9 - 14 * q^11 + 28 * q^12 + 2 * q^13 - 14 * q^14 - 28 * q^15 + 116 * q^16 + 14 * q^17 + 14 * q^18 - 7 * q^19 + 88 * q^20 - 56 * q^21 + 26 * q^22 - 39 * q^23 + 28 * q^24 + 106 * q^25 - 14 * q^26 - 35 * q^27 - 34 * q^28 - 22 * q^29 - 3 * q^30 + 21 * q^31 - 28 * q^32 + 76 * q^33 + 10 * q^34 - 26 * q^35 - 240 * q^36 - 21 * q^37 - 47 * q^38 - 56 * q^39 - 56 * q^41 - 59 * q^42 - 42 * q^43 - 21 * q^44 - 58 * q^45 + 14 * q^47 - 189 * q^48 - 4 * q^49 + 49 * q^50 - 6 * q^51 - 101 * q^52 - 4 * q^53 + 60 * q^54 + 42 * q^55 + 7 * q^56 - 2 * q^57 + 86 * q^58 + 45 * q^59 + 42 * q^60 - 14 * q^61 - 364 * q^62 + 126 * q^63 + 238 * q^64 + 4 * q^65 - 21 * q^66 - 9 * q^67 - 105 * q^68 + 77 * q^69 - 168 * q^70 + 46 * q^71 - 63 * q^72 + 28 * q^73 - 90 * q^74 - 280 * q^75 - 14 * q^77 + 60 * q^78 - 7 * q^79 + 34 * q^80 + 202 * q^81 - 16 * q^82 + 12 * q^83 - 322 * q^84 - 28 * q^85 - 26 * q^86 - 165 * q^87 + 102 * q^88 - 56 * q^89 + 77 * q^90 + 18 * q^91 - 14 * q^92 + 13 * q^93 - 224 * q^94 - 42 * q^95 - 81 * q^96 + 245 * q^98

Decomposition of \(S_{2}^{\mathrm{new}}(1421, [\chi])\) into newform subspaces

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