Space of modular forms of level 2600, weight 2, and Character 2600.cj

• Label: 2600.2.cj
• Level: $2600$
• Weight: $2$
• Character orbit: 2600.cj
• Rep. character: $\chi_{2600}(389,\cdot)$
• Character field: $\Q(\zeta_{10})$
• Dimension: $1664$
• Sturm bound: $840$

Defining parameters

Level:	\( N \)	\(=\)	\( 2600 = 2^{3} \cdot 5^{2} \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	2600.cj (of order \(10\) and degree \(4\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 2600 \)
Character field:			\(\Q(\zeta_{10})\)
Sturm bound:			\(840\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2600, [\chi])\).

	Total	New	Old
Modular forms	1696	1696	0
Cusp forms	1664	1664	0
Eisenstein series	32	32	0

Trace form

1664 * q - 6 * q^4 - 420 * q^9 - 8 * q^10 - 10 * q^12 - 18 * q^14 - 18 * q^16 - 20 * q^17 - 60 * q^22 - 20 * q^23 - 12 * q^25 - 2 * q^26 + 8 * q^30 + 22 * q^36 - 10 * q^38 + 6 * q^39 + 38 * q^40 - 70 * q^42 + 120 * q^48 + 1536 * q^49 - 12 * q^55 - 12 * q^56 + 40 * q^62 + 42 * q^64 - 60 * q^65 + 46 * q^66 - 24 * q^74 + 75 * q^78 - 52 * q^79 - 372 * q^81 - 20 * q^87 + 110 * q^88 + 68 * q^90 - 100 * q^92 + 50 * q^94 - 156 * q^95

Decomposition of \(S_{2}^{\mathrm{new}}(2600, [\chi])\) into newform subspaces

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