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

• Label: 1617.2.cc
• Level: $1617$
• Weight: $2$
• Character orbit: 1617.cc
• Rep. character: $\chi_{1617}(8,\cdot)$
• 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.cc (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 - 15 * q^3 + 186 * q^4 - 25 * q^6 - 60 * q^7 - 15 * q^9 - 60 * q^12 - 50 * q^13 - 3 * q^15 + 162 * q^16 - 60 * q^18 - 120 * q^19 - 106 * q^22 - 45 * q^24 - 258 * q^25 - 60 * q^27 - 30 * q^28 - 90 * q^30 - 84 * q^31 + 24 * q^33 - 40 * q^34 + 9 * q^36 - 38 * q^37 - 25 * q^39 - 280 * q^40 + 71 * q^42 - 50 * q^45 - 90 * q^46 - 142 * q^48 - 124 * q^49 - 25 * q^51 - 50 * q^52 - 62 * q^55 + 55 * q^57 + 144 * q^58 - 275 * q^60 - 90 * q^61 - 5 * q^63 + 202 * q^64 - 184 * q^66 - 128 * q^67 - 183 * q^69 - 30 * q^70 - 145 * q^72 - 110 * q^73 - 35 * q^75 - 244 * q^78 - 120 * q^79 - 123 * q^81 - 6 * q^82 - 75 * q^84 + 30 * q^85 - 84 * q^88 - 215 * q^90 + 408 * q^91 + 45 * q^93 - 150 * q^94 - 215 * q^96 - 8 * q^97 - 428 * 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.