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

• Label: 1421.2.v
• Level: $1421$
• Weight: $2$
• Character orbit: 1421.v
• Rep. character: $\chi_{1421}(71,\cdot)$
• Character field: $\Q(\zeta_{14})$
• Dimension: $828$
• Sturm bound: $280$

Defining parameters

Level:	\( N \)	\(=\)	\( 1421 = 7^{2} \cdot 29 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	1421.v (of order \(14\) and degree \(6\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 1421 \)
Character field:			\(\Q(\zeta_{14})\)
Sturm bound:			\(280\)

Dimensions

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

	Total	New	Old
Modular forms	852	852	0
Cusp forms	828	828	0
Eisenstein series	24	24	0

Trace form

828 * q - 7 * q^3 - 826 * q^4 + q^5 + 13 * q^6 + 5 * q^7 + 137 * q^9 - 21 * q^10 - 7 * q^11 - 7 * q^12 + q^13 + 7 * q^14 + 802 * q^16 - 14 * q^19 - 21 * q^20 - 28 * q^21 + 21 * q^22 + 6 * q^23 + 3 * q^24 - 115 * q^25 - 14 * q^26 - 28 * q^27 + 25 * q^28 + 7 * q^29 - 84 * q^30 - 28 * q^31 - q^33 - 17 * q^34 + 14 * q^35 - 146 * q^36 - 7 * q^37 + 69 * q^38 - 49 * q^39 + 119 * q^40 + 35 * q^41 - 17 * q^42 - 7 * q^43 - 98 * q^44 - 36 * q^45 - 63 * q^46 + 7 * q^47 - 42 * q^48 - 71 * q^49 + 15 * q^51 - 45 * q^52 + 27 * q^53 + 5 * q^54 - 98 * q^55 + 28 * q^56 - 49 * q^57 + 39 * q^58 - 2 * q^62 + 177 * q^63 - 834 * q^64 - 6 * q^65 + 49 * q^66 - 4 * q^67 - 42 * q^68 + 56 * q^69 + 70 * q^70 + 29 * q^71 - 7 * q^72 - 15 * q^74 + 35 * q^75 + 105 * q^76 + 35 * q^77 + 17 * q^78 - 14 * q^79 - 15 * q^80 - 165 * q^81 + 22 * q^82 - 67 * q^83 + 14 * q^84 - 24 * q^86 - 24 * q^87 - 79 * q^88 - 35 * q^89 - 322 * q^90 - 54 * q^91 - 114 * q^92 - 45 * q^93 - 81 * q^94 + 52 * q^96 - 84 * q^97 - 42 * 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.