Space of modular forms of level 273, weight 4, and Character 273.r

• Label: 273.4.r
• Level: $273$
• Weight: $4$
• Character orbit: 273.r
• Rep. character: $\chi_{273}(68,\cdot)$
• Character field: $\Q(\zeta_{6})$
• Dimension: $216$
• Sturm bound: $149$

Defining parameters

Level:	\( N \)	\(=\)	\( 273 = 3 \cdot 7 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 4 \)
Character orbit:	\([\chi]\)	\(=\)	273.r (of order \(6\) and degree \(2\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 273 \)
Character field:			\(\Q(\zeta_{6})\)
Sturm bound:			\(149\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{4}(273, [\chi])\).

	Total	New	Old
Modular forms	232	232	0
Cusp forms	216	216	0
Eisenstein series	16	16	0

Trace form

216 * q - 3 * q^3 - 836 * q^4 + 48 * q^6 + 26 * q^7 + 17 * q^9 - 6 * q^10 + 18 * q^12 - 90 * q^13 + 93 * q^15 + 3100 * q^16 - 34 * q^18 - 240 * q^19 - 17 * q^21 - 98 * q^22 - 306 * q^24 - 2304 * q^25 - 892 * q^28 + 86 * q^30 + 498 * q^31 + 585 * q^33 - 744 * q^36 - 116 * q^37 + 87 * q^39 + 366 * q^40 - 1449 * q^42 - 44 * q^43 + 784 * q^46 - 306 * q^48 + 1416 * q^49 - 718 * q^51 + 402 * q^52 - 1110 * q^55 + 1318 * q^57 - 602 * q^58 - 347 * q^60 - 18 * q^61 + 955 * q^63 - 12064 * q^64 + 1173 * q^66 - 732 * q^67 - 1254 * q^69 + 780 * q^70 - 2035 * q^72 - 1722 * q^73 + 864 * q^76 + 5035 * q^78 - 30 * q^79 - 815 * q^81 - 5562 * q^82 + 5469 * q^84 + 702 * q^85 - 634 * q^88 + 4830 * q^91 + 970 * q^93 - 384 * q^94 + 2442 * q^96 + 24 * q^97 + 2914 * q^99

Decomposition of \(S_{4}^{\mathrm{new}}(273, [\chi])\) into newform subspaces

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