Space of modular forms of level 1900, weight 2, and Character 1900.cn

• Label: 1900.2.cn
• Level: $1900$
• Weight: $2$
• Character orbit: 1900.cn
• Rep. character: $\chi_{1900}(71,\cdot)$
• Character field: $\Q(\zeta_{90})$
• Dimension: $7104$
• Sturm bound: $600$

Defining parameters

Level:	\( N \)	\(=\)	\( 1900 = 2^{2} \cdot 5^{2} \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	1900.cn (of order \(90\) and degree \(24\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 1900 \)
Character field:			\(\Q(\zeta_{90})\)
Sturm bound:			\(600\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1900, [\chi])\).

	Total	New	Old
Modular forms	7296	7296	0
Cusp forms	7104	7104	0
Eisenstein series	192	192	0

Trace form

7104 * q - 18 * q^2 - 18 * q^4 - 48 * q^5 - 18 * q^6 - 27 * q^8 - 36 * q^9 - 33 * q^10 - 27 * q^12 - 36 * q^13 - 54 * q^14 - 18 * q^16 - 36 * q^17 - 18 * q^20 - 90 * q^21 - 6 * q^22 - 108 * q^24 - 48 * q^25 - 24 * q^26 - 90 * q^28 - 36 * q^29 - 33 * q^30 - 18 * q^32 - 18 * q^34 - 36 * q^36 - 75 * q^38 - 111 * q^40 - 36 * q^41 - 72 * q^42 + 6 * q^44 - 24 * q^45 - 27 * q^46 - 102 * q^48 + 3216 * q^49 - 63 * q^50 - 18 * q^52 - 36 * q^53 - 84 * q^54 - 96 * q^57 + 180 * q^58 + 57 * q^60 - 36 * q^61 - 120 * q^62 - 9 * q^64 - 72 * q^65 + 18 * q^66 - 24 * q^68 - 54 * q^69 - 144 * q^70 - 240 * q^72 - 36 * q^73 - 30 * q^74 - 48 * q^76 - 468 * q^77 - 141 * q^78 - 75 * q^80 - 72 * q^81 + 192 * q^82 - 27 * q^84 - 72 * q^85 - 108 * q^86 - 27 * q^88 - 36 * q^89 - 81 * q^90 + 132 * q^92 - 132 * q^93 - 36 * q^96 - 36 * q^97 - 63 * q^98

Decomposition of \(S_{2}^{\mathrm{new}}(1900, [\chi])\) into newform subspaces

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