Space of modular forms of level 2890, weight 2, and Character 2890.u

• Label: 2890.2.u
• Level: $2890$
• Weight: $2$
• Character orbit: 2890.u
• Rep. character: $\chi_{2890}(69,\cdot)$
• Character field: $\Q(\zeta_{34})$
• Dimension: $2432$
• Sturm bound: $918$

Defining parameters

Level:	\( N \)	\(=\)	\( 2890 = 2 \cdot 5 \cdot 17^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	2890.u (of order \(34\) and degree \(16\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 1445 \)
Character field:			\(\Q(\zeta_{34})\)
Sturm bound:			\(918\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2890, [\chi])\).

	Total	New	Old
Modular forms	7424	2432	4992
Cusp forms	7296	2432	4864
Eisenstein series	128	0	128

Trace form

2432 * q + 152 * q^4 - 4 * q^5 + 156 * q^9 + 4 * q^10 - 12 * q^15 - 152 * q^16 - 4 * q^19 + 4 * q^20 + 24 * q^21 - 42 * q^25 + 4 * q^26 + 24 * q^29 - 20 * q^30 - 16 * q^31 + 4 * q^34 - 24 * q^35 - 156 * q^36 - 96 * q^39 - 4 * q^40 - 32 * q^41 + 68 * q^44 + 158 * q^45 + 76 * q^46 + 128 * q^49 + 8 * q^50 + 64 * q^51 + 24 * q^54 + 8 * q^55 + 36 * q^59 + 12 * q^60 + 24 * q^61 + 152 * q^64 - 16 * q^66 + 436 * q^69 - 8 * q^70 + 32 * q^71 - 280 * q^75 + 4 * q^76 - 44 * q^79 - 4 * q^80 - 184 * q^81 - 24 * q^84 - 140 * q^85 - 12 * q^86 - 24 * q^89 - 20 * q^90 + 160 * q^91 + 232 * q^94 + 56 * q^99

Decomposition of \(S_{2}^{\mathrm{new}}(2890, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(2890, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(2890, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(1445, [\chi])\)\(^{\oplus 2}\)