Space of modular forms of level 1617, weight 2, and Character 1617.ca

• Label: 1617.2.ca
• Level: $1617$
• Weight: $2$
• Character orbit: 1617.ca
• Rep. character: $\chi_{1617}(20,\cdot)$
• Character field: $\Q(\zeta_{70})$
• Dimension: $5280$
• Sturm bound: $448$

Defining parameters

Level:	\( N \)	\(=\)	\( 1617 = 3 \cdot 7^{2} \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	1617.ca (of order \(70\) and degree \(24\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 1617 \)
Character field:			\(\Q(\zeta_{70})\)
Sturm bound:			\(448\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1617, [\chi])\).

	Total	New	Old
Modular forms	5472	5472	0
Cusp forms	5280	5280	0
Eisenstein series	192	192	0

Trace form

5280 * q - 21 * q^3 - 246 * q^4 - 21 * q^6 - 40 * q^7 - 15 * q^9 - 112 * q^10 - 56 * q^12 - 42 * q^13 - 27 * q^15 + 194 * q^16 - 44 * q^18 - 56 * q^21 + 6 * q^22 - 21 * q^24 + 198 * q^25 - 84 * q^27 - 134 * q^28 - 66 * q^30 - 28 * q^33 - 112 * q^34 - 31 * q^36 - 38 * q^37 + 17 * q^39 + 84 * q^40 - 103 * q^42 - 112 * q^43 - 98 * q^45 - 54 * q^46 - 124 * q^49 - 39 * q^51 - 42 * q^52 - 56 * q^54 - 14 * q^55 + 23 * q^57 - 244 * q^58 + 141 * q^60 - 42 * q^61 - 65 * q^63 - 182 * q^64 - 126 * q^66 - 256 * q^67 + 147 * q^69 - 110 * q^70 - 51 * q^72 - 42 * q^73 - 21 * q^75 - 224 * q^76 - 252 * q^78 - 3 * q^81 - 42 * q^82 - 145 * q^84 - 118 * q^85 - 168 * q^87 - 28 * q^88 - 91 * q^90 + 392 * q^91 - 111 * q^93 - 126 * q^94 + 7 * q^96 + 320 * q^99

Decomposition of \(S_{2}^{\mathrm{new}}(1617, [\chi])\) into newform subspaces

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