Space of modular forms of level 2450, weight 2, and Character 2450.bm

• Label: 2450.2.bm
• Level: $2450$
• Weight: $2$
• Character orbit: 2450.bm
• Rep. character: $\chi_{2450}(143,\cdot)$
• Character field: $\Q(\zeta_{84})$
• Dimension: $2016$
• Sturm bound: $840$

Defining parameters

Level:	\( N \)	\(=\)	\( 2450 = 2 \cdot 5^{2} \cdot 7^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	2450.bm (of order \(84\) and degree \(24\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 245 \)
Character field:			\(\Q(\zeta_{84})\)
Sturm bound:			\(840\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2450, [\chi])\).

	Total	New	Old
Modular forms	10368	2016	8352
Cusp forms	9792	2016	7776
Eisenstein series	576	0	576

Trace form

2016 * q + 56 * q^6 + 8 * q^7 - 8 * q^11 - 168 * q^16 - 8 * q^17 - 16 * q^21 - 20 * q^22 - 4 * q^23 - 32 * q^26 + 4 * q^28 + 48 * q^31 + 48 * q^33 + 376 * q^36 + 12 * q^37 + 24 * q^38 + 224 * q^41 - 76 * q^42 - 24 * q^43 + 320 * q^46 - 72 * q^47 + 416 * q^51 - 160 * q^53 + 104 * q^56 + 92 * q^57 - 128 * q^58 - 16 * q^61 - 36 * q^63 + 16 * q^67 - 36 * q^68 + 32 * q^71 - 12 * q^73 + 16 * q^77 - 80 * q^78 - 208 * q^81 - 48 * q^82 + 308 * q^83 + 8 * q^86 - 52 * q^87 + 4 * q^88 + 288 * q^91 + 8 * q^92 + 536 * q^93 + 24 * q^96 + 40 * q^98

Decomposition of \(S_{2}^{\mathrm{new}}(2450, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(2450, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(2450, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(245, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(490, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1225, [\chi])\)\(^{\oplus 2}\)