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

• Label: 1617.2.cg
• Level: $1617$
• Weight: $2$
• Character orbit: 1617.cg
• Rep. character: $\chi_{1617}(2,\cdot)$
• Character field: $\Q(\zeta_{210})$
• Dimension: $10560$
• Sturm bound: $448$

Defining parameters

Level:	\( N \)	\(=\)	\( 1617 = 3 \cdot 7^{2} \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	1617.cg (of order \(210\) and degree \(48\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 1617 \)
Character field:			\(\Q(\zeta_{210})\)
Sturm bound:			\(448\)

Dimensions

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

	Total	New	Old
Modular forms	10944	10944	0
Cusp forms	10560	10560	0
Eisenstein series	384	384	0

Trace form

10560 * q - 39 * q^3 - 294 * q^4 - 50 * q^6 - 120 * q^7 - 39 * q^9 - 96 * q^12 - 100 * q^13 - 42 * q^15 - 294 * q^16 - 30 * q^18 - 60 * q^19 - 14 * q^22 - 45 * q^24 + 114 * q^25 + 15 * q^27 - 150 * q^28 - 42 * q^31 - 48 * q^33 - 128 * q^34 - 54 * q^36 - 82 * q^37 - 65 * q^39 - 440 * q^40 - 188 * q^42 - 46 * q^45 - 90 * q^46 - 98 * q^48 - 140 * q^49 - 65 * q^51 - 130 * q^52 + 50 * q^55 - 130 * q^57 - 474 * q^58 + 287 * q^60 - 90 * q^61 - 130 * q^63 + 284 * q^64 - 35 * q^66 - 64 * q^67 + 48 * q^69 - 162 * q^70 - 125 * q^72 - 70 * q^73 - 31 * q^75 + 196 * q^78 - 60 * q^79 - 219 * q^81 - 78 * q^82 - 195 * q^84 - 180 * q^85 - 114 * q^88 - 100 * q^90 - 432 * q^91 - 54 * q^93 + 210 * q^94 - 205 * q^96 - 208 * q^97 + 284 * 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.