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

• Label: 1421.2.cd
• Level: $1421$
• Weight: $2$
• Character orbit: 1421.cd
• Rep. character: $\chi_{1421}(27,\cdot)$
• Character field: $\Q(\zeta_{28})$
• Dimension: $1656$
• Sturm bound: $280$

Defining parameters

Level:	\( N \)	\(=\)	\( 1421 = 7^{2} \cdot 29 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	1421.cd (of order \(28\) and degree \(12\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 1421 \)
Character field:			\(\Q(\zeta_{28})\)
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 - 10 * q^2 - 14 * q^3 - 14 * q^4 - 14 * q^5 - 14 * q^6 - 10 * q^7 - 18 * q^8 - 14 * q^10 - 10 * q^11 - 14 * q^12 - 28 * q^13 - 16 * q^14 + 22 * q^15 + 258 * q^16 - 14 * q^17 + 8 * q^18 + 42 * q^20 + 100 * q^21 - 14 * q^22 - 6 * q^23 - 70 * q^24 - 266 * q^25 - 84 * q^26 + 28 * q^27 - 112 * q^28 + 42 * q^29 + 56 * q^30 - 66 * q^32 - 28 * q^33 - 14 * q^34 + 14 * q^35 - 202 * q^36 - 14 * q^37 + 84 * q^38 + 20 * q^39 + 42 * q^40 - 56 * q^41 - 14 * q^42 - 50 * q^43 - 78 * q^44 + 56 * q^45 + 24 * q^46 + 14 * q^47 - 58 * q^49 - 48 * q^50 - 14 * q^51 - 70 * q^52 + 28 * q^53 + 14 * q^54 + 98 * q^55 - 190 * q^56 + 22 * q^58 + 14 * q^59 + 58 * q^60 - 14 * q^61 + 140 * q^62 + 84 * q^63 + 42 * q^64 - 60 * q^65 - 196 * q^66 - 28 * q^67 - 14 * q^68 - 14 * q^69 + 10 * q^70 - 56 * q^71 - 54 * q^72 - 14 * q^73 - 54 * q^74 - 14 * q^75 - 182 * q^76 + 6 * q^77 + 46 * q^78 + 8 * q^79 - 1612 * q^81 - 14 * q^82 - 70 * q^83 - 122 * q^84 + 54 * q^85 - 84 * q^86 - 126 * q^87 - 128 * q^88 - 14 * q^89 + 42 * q^90 - 112 * q^91 - 140 * q^92 - 14 * q^93 - 14 * q^94 - 326 * q^95 - 322 * q^96 - 84 * q^97 + 128 * q^98 - 64 * q^99

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

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