Space of modular forms of level 1450, weight 2, and Character 1450.be

• Label: 1450.2.be
• Level: $1450$
• Weight: $2$
• Character orbit: 1450.be
• Rep. character: $\chi_{1450}(81,\cdot)$
• Character field: $\Q(\zeta_{35})$
• Dimension: $1824$
• Sturm bound: $450$

Defining parameters

Level:	\( N \)	\(=\)	\( 1450 = 2 \cdot 5^{2} \cdot 29 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	1450.be (of order \(35\) and degree \(24\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 725 \)
Character field:			\(\Q(\zeta_{35})\)
Sturm bound:			\(450\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1450, [\chi])\).

	Total	New	Old
Modular forms	5472	1824	3648
Cusp forms	5280	1824	3456
Eisenstein series	192	0	192

Trace form

1824 * q + 2 * q^2 + 76 * q^4 + 2 * q^5 + 4 * q^6 + 8 * q^7 + 2 * q^8 + 80 * q^9 + 10 * q^10 - 28 * q^13 + 10 * q^15 + 76 * q^16 + 28 * q^17 - 40 * q^18 - 24 * q^19 + 20 * q^20 + 24 * q^21 + 8 * q^22 - 24 * q^23 - 16 * q^24 - 56 * q^25 - 30 * q^26 + 90 * q^27 - 12 * q^28 - 6 * q^29 - 36 * q^30 - 12 * q^31 - 8 * q^32 - 4 * q^33 + 83 * q^34 - 16 * q^35 + 80 * q^36 - 78 * q^37 + 28 * q^38 - 11 * q^40 - 24 * q^41 - 12 * q^42 - 88 * q^43 - 17 * q^45 - 36 * q^47 - 328 * q^49 - 10 * q^50 + 8 * q^51 + 28 * q^52 + 51 * q^53 + 28 * q^54 + 8 * q^55 + 96 * q^57 + 30 * q^58 - 96 * q^59 + 60 * q^60 + 140 * q^61 - 56 * q^63 + 76 * q^64 - 87 * q^65 - 32 * q^67 - 92 * q^68 + 16 * q^69 - 80 * q^70 + 90 * q^71 + 10 * q^72 - 70 * q^73 - 52 * q^74 - 184 * q^75 - 40 * q^76 - 156 * q^77 + 132 * q^78 + 2 * q^80 - 68 * q^81 + 36 * q^82 + 56 * q^83 + 90 * q^84 - 194 * q^85 - 120 * q^86 - 12 * q^88 - 18 * q^89 + 8 * q^90 + 212 * q^91 + 16 * q^92 + 108 * q^93 + 16 * q^94 - 176 * q^95 + 4 * q^96 - 22 * q^97 + 154 * q^98 + 104 * q^99

Decomposition of \(S_{2}^{\mathrm{new}}(1450, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(1450, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(1450, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(725, [\chi])\)\(^{\oplus 2}\)