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

• Label: 2900.2.u
• Level: $2900$
• Weight: $2$
• Character orbit: 2900.u
• Rep. character: $\chi_{2900}(581,\cdot)$
• Character field: $\Q(\zeta_{5})$
• Dimension: $280$
• Sturm bound: $900$

Defining parameters

Level:	\( N \)	\(=\)	\( 2900 = 2^{2} \cdot 5^{2} \cdot 29 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	2900.u (of order \(5\) and degree \(4\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 25 \)
Character field:			\(\Q(\zeta_{5})\)
Sturm bound:			\(900\)

Dimensions

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

	Total	New	Old
Modular forms	1824	280	1544
Cusp forms	1776	280	1496
Eisenstein series	48	0	48

Trace form

280 * q - 4 * q^3 + 6 * q^5 - 4 * q^7 - 74 * q^9 + 10 * q^11 - 30 * q^15 + 6 * q^17 + 4 * q^19 + 8 * q^21 + 30 * q^25 + 50 * q^27 + 6 * q^29 - 12 * q^31 + 38 * q^33 + 14 * q^35 + 4 * q^37 - 44 * q^39 + 16 * q^41 - 20 * q^43 - 112 * q^45 - 20 * q^47 + 260 * q^49 + 24 * q^51 - 24 * q^53 - 20 * q^55 - 96 * q^57 - 6 * q^59 + 8 * q^61 + 8 * q^63 - 2 * q^65 + 34 * q^67 + 96 * q^69 - 60 * q^71 - 80 * q^73 + 76 * q^75 + 84 * q^77 - 96 * q^81 + 36 * q^83 + 62 * q^85 + 22 * q^89 + 32 * q^91 - 8 * q^93 - 12 * q^95 + 30 * q^97 - 88 * 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

\( S_{2}^{\mathrm{old}}(2900, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(25, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(50, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(100, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(725, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1450, [\chi])\)\(^{\oplus 2}\)