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

• Label: 2600.2.dx
• Level: $2600$
• Weight: $2$
• Character orbit: 2600.dx
• Rep. character: $\chi_{2600}(317,\cdot)$
• Character field: $\Q(\zeta_{20})$
• Dimension: $3328$
• Sturm bound: $840$

Defining parameters

Level:	\( N \)	\(=\)	\( 2600 = 2^{3} \cdot 5^{2} \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	2600.dx (of order \(20\) and degree \(8\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 2600 \)
Character field:			\(\Q(\zeta_{20})\)
Sturm bound:			\(840\)

Dimensions

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

	Total	New	Old
Modular forms	3392	3392	0
Cusp forms	3328	3328	0
Eisenstein series	64	64	0

Trace form

3328 * q - 6 * q^2 - 6 * q^6 - 6 * q^8 - 40 * q^9 - 8 * q^10 - 8 * q^12 - 20 * q^14 - 4 * q^15 - 12 * q^16 - 8 * q^17 - 26 * q^20 + 12 * q^22 - 12 * q^24 - 16 * q^26 + 30 * q^28 + 8 * q^30 - 12 * q^31 - 36 * q^32 - 36 * q^33 - 2 * q^34 - 8 * q^38 - 20 * q^39 - 48 * q^40 - 12 * q^41 - 4 * q^42 - 10 * q^44 - 6 * q^46 - 20 * q^47 - 28 * q^48 - 3136 * q^49 - 40 * q^50 - 8 * q^52 - 166 * q^54 - 32 * q^55 + 140 * q^56 - 8 * q^57 + 110 * q^58 + 6 * q^60 - 28 * q^62 + 48 * q^63 - 72 * q^65 - 12 * q^66 + 52 * q^68 - 8 * q^70 - 12 * q^71 - 40 * q^72 - 52 * q^73 - 32 * q^76 - 86 * q^78 - 40 * q^79 - 152 * q^80 + 744 * q^81 - 24 * q^82 + 44 * q^84 - 26 * q^86 - 8 * q^87 - 64 * q^88 + 80 * q^89 - 56 * q^90 - 180 * q^94 - 76 * q^96 - 20 * q^97 + 16 * q^98

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

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