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

• Label: 1617.2.ba
• Level: $1617$
• Weight: $2$
• Character orbit: 1617.ba
• Rep. character: $\chi_{1617}(428,\cdot)$
• Character field: $\Q(\zeta_{14})$
• Dimension: $1320$
• Sturm bound: $448$

Defining parameters

Level:	\( N \)	\(=\)	\( 1617 = 3 \cdot 7^{2} \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	1617.ba (of order \(14\) and degree \(6\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 1617 \)
Character field:			\(\Q(\zeta_{14})\)
Sturm bound:			\(448\)

Dimensions

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

	Total	New	Old
Modular forms	1368	1368	0
Cusp forms	1320	1320	0
Eisenstein series	48	48	0

Trace form

1320 * q - 10 * q^3 - 236 * q^4 - 10 * q^9 + 10 * q^12 - 22 * q^15 - 212 * q^16 - 4 * q^22 + 208 * q^25 - 40 * q^27 - 56 * q^31 + q^33 - 20 * q^34 - 34 * q^36 - 12 * q^37 - 126 * q^42 + 12 * q^48 + 24 * q^49 + 12 * q^55 + 156 * q^58 - 210 * q^60 - 92 * q^64 + 79 * q^66 - 32 * q^67 + 78 * q^69 + 20 * q^70 - 70 * q^75 - 56 * q^78 - 82 * q^81 - 44 * q^82 + 34 * q^88 - 108 * q^91 - 100 * q^93 - 112 * q^97 - 112 * 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.