Space of modular forms of level 2250, weight 2, and Character 2250.y

• Label: 2250.2.y
• Level: $2250$
• Weight: $2$
• Character orbit: 2250.y
• Rep. character: $\chi_{2250}(19,\cdot)$
• Character field: $\Q(\zeta_{50})$
• Dimension: $1240$
• Sturm bound: $900$

Defining parameters

Level:	\( N \)	\(=\)	\( 2250 = 2 \cdot 3^{2} \cdot 5^{3} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	2250.y (of order \(50\) and degree \(20\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 125 \)
Character field:			\(\Q(\zeta_{50})\)
Sturm bound:			\(900\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2250, [\chi])\).

	Total	New	Old
Modular forms	9160	1240	7920
Cusp forms	8840	1240	7600
Eisenstein series	320	0	320

Trace form

1240 * q - 10 * q^5 + 10 * q^11 - 10 * q^17 + 20 * q^19 + 20 * q^22 - 60 * q^23 + 50 * q^25 - 30 * q^26 + 10 * q^28 - 20 * q^29 - 10 * q^31 + 10 * q^34 - 10 * q^35 + 30 * q^41 - 20 * q^46 + 180 * q^47 + 290 * q^49 + 10 * q^55 - 10 * q^59 - 40 * q^61 + 60 * q^62 + 50 * q^65 + 70 * q^67 + 60 * q^70 - 110 * q^71 + 50 * q^74 + 10 * q^76 + 120 * q^77 + 40 * q^79 + 200 * q^82 + 90 * q^83 + 70 * q^85 - 10 * q^88 + 60 * q^89 + 240 * q^91 - 10 * q^92 - 100 * q^95 + 40 * q^97 + 40 * q^98

Decomposition of \(S_{2}^{\mathrm{new}}(2250, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(2250, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(2250, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(125, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(250, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(375, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(750, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1125, [\chi])\)\(^{\oplus 2}\)