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

• Label: 2890.2.o
• Level: $2890$
• Weight: $2$
• Character orbit: 2890.o
• Rep. character: $\chi_{2890}(513,\cdot)$
• Character field: $\Q(\zeta_{16})$
• Dimension: $1080$
• Sturm bound: $918$

Defining parameters

Level:	\( N \)	\(=\)	\( 2890 = 2 \cdot 5 \cdot 17^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	2890.o (of order \(16\) and degree \(8\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 85 \)
Character field:			\(\Q(\zeta_{16})\)
Sturm bound:			\(918\)

Dimensions

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

	Total	New	Old
Modular forms	3960	1080	2880
Cusp forms	3384	1080	2304
Eisenstein series	576	0	576

Trace form

1080 * q - 16 * q^10 + 48 * q^15 + 8 * q^20 + 16 * q^25 + 48 * q^27 - 16 * q^28 + 32 * q^31 + 64 * q^33 - 32 * q^37 - 64 * q^39 + 40 * q^41 + 48 * q^42 + 160 * q^47 - 64 * q^50 + 64 * q^52 + 40 * q^53 - 16 * q^55 + 16 * q^57 - 64 * q^59 + 48 * q^60 + 48 * q^62 + 48 * q^63 + 64 * q^67 - 32 * q^70 - 32 * q^71 - 32 * q^73 + 40 * q^74 - 176 * q^75 - 80 * q^77 - 64 * q^78 - 32 * q^79 - 16 * q^80 - 96 * q^81 - 72 * q^82 - 32 * q^83 - 64 * q^86 - 16 * q^87 - 32 * q^88 - 88 * q^90 - 96 * q^91 - 16 * q^92 - 144 * q^93 - 48 * q^95 - 160 * q^97 + 96 * 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

\( S_{2}^{\mathrm{old}}(2890, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(85, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(170, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1445, [\chi])\)\(^{\oplus 2}\)