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

• Label: 2900.2.v
• Level: $2900$
• Weight: $2$
• Character orbit: 2900.v
• Rep. character: $\chi_{2900}(401,\cdot)$
• Character field: $\Q(\zeta_{7})$
• Dimension: $282$
• Sturm bound: $900$

Defining parameters

Level:	\( N \)	\(=\)	\( 2900 = 2^{2} \cdot 5^{2} \cdot 29 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	2900.v (of order \(7\) and degree \(6\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 29 \)
Character field:			\(\Q(\zeta_{7})\)
Sturm bound:			\(900\)

Dimensions

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

	Total	New	Old
Modular forms	2808	282	2526
Cusp forms	2592	282	2310
Eisenstein series	216	0	216

Trace form

282 * q + 4 * q^7 - 45 * q^9 - 4 * q^11 + 14 * q^13 - 6 * q^17 - 2 * q^19 + 4 * q^21 - 28 * q^23 + 6 * q^27 + 5 * q^29 + 22 * q^31 - 24 * q^33 + 12 * q^37 + 20 * q^39 - 14 * q^41 + 10 * q^43 - 20 * q^47 - 53 * q^49 + 18 * q^51 - 31 * q^53 - 20 * q^57 - 4 * q^59 + 42 * q^61 + 6 * q^63 + 10 * q^67 - 8 * q^69 - 2 * q^71 - 25 * q^73 - 4 * q^77 - 18 * q^79 + 71 * q^81 + 28 * q^83 - 54 * q^87 - 18 * q^89 + 40 * q^91 - 30 * q^93 - 91 * q^97 - 116 * 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

\( S_{2}^{\mathrm{old}}(2900, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(29, [\chi])\)\(^{\oplus 9}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(58, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(116, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(145, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(290, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(580, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(725, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1450, [\chi])\)\(^{\oplus 2}\)