Space of modular forms of level 627, weight 4, and Character 627.bv

• Label: 627.4.bv
• Level: $627$
• Weight: $4$
• Character orbit: 627.bv
• Rep. character: $\chi_{627}(14,\cdot)$
• Character field: $\Q(\zeta_{90})$
• Dimension: $5664$
• Sturm bound: $320$

Defining parameters

Level:	\( N \)	\(=\)	\( 627 = 3 \cdot 11 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 4 \)
Character orbit:	\([\chi]\)	\(=\)	627.bv (of order \(90\) and degree \(24\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 627 \)
Character field:			\(\Q(\zeta_{90})\)
Sturm bound:			\(320\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{4}(627, [\chi])\).

	Total	New	Old
Modular forms	5856	5856	0
Cusp forms	5664	5664	0
Eisenstein series	192	192	0

Trace form

5664 * q - 12 * q^3 - 36 * q^4 - 108 * q^6 - 18 * q^7 + 72 * q^9 - 96 * q^10 - 72 * q^12 - 36 * q^13 - 18 * q^15 - 132 * q^16 - 36 * q^19 - 210 * q^21 + 432 * q^22 - 1188 * q^24 + 504 * q^25 - 1341 * q^27 - 804 * q^28 + 231 * q^30 - 54 * q^31 - 1671 * q^33 - 1536 * q^34 + 918 * q^36 - 36 * q^39 - 1728 * q^40 - 4353 * q^42 - 3840 * q^43 - 708 * q^45 + 3834 * q^46 + 1731 * q^48 + 32874 * q^49 + 4566 * q^51 - 1236 * q^52 + 1230 * q^54 + 4950 * q^55 - 1722 * q^57 + 1440 * q^58 + 831 * q^60 - 1764 * q^61 - 2076 * q^63 + 39918 * q^64 - 4374 * q^66 + 4836 * q^67 + 5373 * q^69 + 1710 * q^70 + 2766 * q^72 + 14868 * q^73 + 15600 * q^76 - 10902 * q^78 - 36 * q^79 - 1632 * q^81 - 9432 * q^82 - 27 * q^84 + 5400 * q^85 + 1800 * q^87 - 5904 * q^88 - 5742 * q^90 + 2040 * q^91 + 17778 * q^93 + 1212 * q^96 + 1566 * q^97 - 669 * q^99

Decomposition of \(S_{4}^{\mathrm{new}}(627, [\chi])\) into newform subspaces

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