Space of modular forms of level 1254, weight 2, and Character 1254.bo

• Label: 1254.2.bo
• Level: $1254$
• Weight: $2$
• Character orbit: 1254.bo
• Rep. character: $\chi_{1254}(25,\cdot)$
• Character field: $\Q(\zeta_{45})$
• Dimension: $960$
• Sturm bound: $480$

Defining parameters

Level:	\( N \)	\(=\)	\( 1254 = 2 \cdot 3 \cdot 11 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	1254.bo (of order \(45\) and degree \(24\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 209 \)
Character field:			\(\Q(\zeta_{45})\)
Sturm bound:			\(480\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1254, [\chi])\).

	Total	New	Old
Modular forms	5952	960	4992
Cusp forms	5568	960	4608
Eisenstein series	384	0	384

Trace form

960 * q + 36 * q^7 - 12 * q^11 - 72 * q^14 + 48 * q^15 + 36 * q^17 + 48 * q^20 - 24 * q^22 - 36 * q^25 + 24 * q^26 - 72 * q^29 + 12 * q^31 - 12 * q^33 + 48 * q^34 - 24 * q^35 - 24 * q^37 - 12 * q^38 + 36 * q^41 - 12 * q^42 + 96 * q^43 - 12 * q^44 - 24 * q^45 - 24 * q^46 - 24 * q^47 + 180 * q^49 + 84 * q^53 - 240 * q^55 - 48 * q^56 - 24 * q^57 + 48 * q^58 + 36 * q^60 + 72 * q^61 + 108 * q^62 + 120 * q^64 + 24 * q^65 - 48 * q^67 + 36 * q^68 + 48 * q^70 + 84 * q^71 - 72 * q^73 - 24 * q^74 - 24 * q^76 + 336 * q^77 + 96 * q^82 + 48 * q^83 - 24 * q^84 - 324 * q^85 - 12 * q^86 + 24 * q^87 + 24 * q^89 - 36 * q^91 - 48 * q^93 + 264 * q^94 - 96 * q^95 - 108 * q^97 + 192 * q^98 - 12 * q^99

Decomposition of \(S_{2}^{\mathrm{new}}(1254, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(1254, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(1254, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(209, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(418, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(627, [\chi])\)\(^{\oplus 2}\)