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

• Label: 1450.2.o
• Level: $1450$
• Weight: $2$
• Character orbit: 1450.o
• Rep. character: $\chi_{1450}(231,\cdot)$
• Character field: $\Q(\zeta_{10})$
• Dimension: $296$
• Sturm bound: $450$

Defining parameters

Level:	\( N \)	\(=\)	\( 1450 = 2 \cdot 5^{2} \cdot 29 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	1450.o (of order \(10\) and degree \(4\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 725 \)
Character field:			\(\Q(\zeta_{10})\)
Sturm bound:			\(450\)

Dimensions

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

	Total	New	Old
Modular forms	920	296	624
Cusp forms	888	296	592
Eisenstein series	32	0	32

Trace form

296 * q + 74 * q^4 - 4 * q^6 + 8 * q^7 + 70 * q^9 + 8 * q^13 - 74 * q^16 - 8 * q^22 - 24 * q^23 - 16 * q^24 - 32 * q^25 + 12 * q^28 + 8 * q^29 - 6 * q^30 + 44 * q^33 - 8 * q^34 - 70 * q^36 + 28 * q^38 - 12 * q^42 + 16 * q^45 + 256 * q^49 - 8 * q^51 - 8 * q^52 + 4 * q^54 + 96 * q^57 - 20 * q^58 - 12 * q^59 - 8 * q^63 + 74 * q^64 - 114 * q^65 + 64 * q^67 + 36 * q^71 - 72 * q^74 - 42 * q^78 - 122 * q^81 - 32 * q^82 - 56 * q^83 - 20 * q^86 - 4 * q^87 - 12 * q^88 + 88 * q^91 - 16 * q^92 + 44 * q^93 + 16 * q^94 - 4 * q^96

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

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