Space of modular forms of level 2900, weight 2, and Character 2900.ci

• Label: 2900.2.ci
• Level: $2900$
• Weight: $2$
• Character orbit: 2900.ci
• Rep. character: $\chi_{2900}(81,\cdot)$
• Character field: $\Q(\zeta_{35})$
• Dimension: $1824$
• Sturm bound: $900$

Defining parameters

Level:	\( N \)	\(=\)	\( 2900 = 2^{2} \cdot 5^{2} \cdot 29 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	2900.ci (of order \(35\) and degree \(24\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 725 \)
Character field:			\(\Q(\zeta_{35})\)
Sturm bound:			\(900\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2900, [\chi])\).

	Total	New	Old
Modular forms	10944	1824	9120
Cusp forms	10656	1824	8832
Eisenstein series	288	0	288

Trace form

1824 * q + 2 * q^5 + 8 * q^7 + 80 * q^9 + 32 * q^13 - 20 * q^15 - 8 * q^17 + 12 * q^19 - 12 * q^21 + 12 * q^23 + 22 * q^25 - 45 * q^27 + 12 * q^29 - 12 * q^31 + 32 * q^33 - 22 * q^35 + 12 * q^37 + 30 * q^41 - 52 * q^43 - 65 * q^45 + 18 * q^47 - 328 * q^49 - 52 * q^51 + 87 * q^53 - 46 * q^55 - 48 * q^57 - 96 * q^59 - 40 * q^61 - 56 * q^63 + 3 * q^65 + 40 * q^67 - 8 * q^69 - 45 * q^71 + 2 * q^73 + 140 * q^75 + 78 * q^77 + 48 * q^79 + 172 * q^81 + 56 * q^83 + 40 * q^85 + 69 * q^87 - 18 * q^89 - 94 * q^91 - 36 * q^93 + 112 * q^95 - 142 * q^97 + 8 * q^99

Decomposition of \(S_{2}^{\mathrm{new}}(2900, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(2900, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(2900, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(725, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1450, [\chi])\)\(^{\oplus 2}\)