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

• Label: 273.4.bw
• Level: $273$
• Weight: $4$
• Character orbit: 273.bw
• Rep. character: $\chi_{273}(11,\cdot)$
• Character field: $\Q(\zeta_{12})$
• Dimension: $432$
• Sturm bound: $149$

Defining parameters

Level:	\( N \)	\(=\)	\( 273 = 3 \cdot 7 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 4 \)
Character orbit:	\([\chi]\)	\(=\)	273.bw (of order \(12\) and degree \(4\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 273 \)
Character field:			\(\Q(\zeta_{12})\)
Sturm bound:			\(149\)

Dimensions

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

	Total	New	Old
Modular forms	464	464	0
Cusp forms	432	432	0
Eisenstein series	32	32	0

Trace form

432 * q - 4 * q^3 - 12 * q^4 + 8 * q^6 - 16 * q^7 - 4 * q^9 - 324 * q^12 - 16 * q^13 + 174 * q^15 + 3076 * q^16 - 146 * q^18 - 608 * q^19 - 72 * q^21 - 8 * q^22 - 172 * q^24 + 536 * q^27 + 1068 * q^28 + 564 * q^31 - 178 * q^33 - 408 * q^34 + 1524 * q^36 + 24 * q^37 - 1280 * q^39 - 276 * q^40 - 52 * q^42 - 696 * q^43 + 1078 * q^45 - 840 * q^46 - 280 * q^48 + 996 * q^49 + 324 * q^51 - 1700 * q^52 - 226 * q^54 + 232 * q^55 - 1334 * q^57 + 1396 * q^58 + 2360 * q^60 + 376 * q^61 - 3340 * q^63 - 3130 * q^66 - 944 * q^67 + 1836 * q^69 + 2936 * q^70 + 6310 * q^72 - 152 * q^73 - 330 * q^75 + 9120 * q^76 - 4382 * q^78 + 2200 * q^79 - 1956 * q^81 - 1304 * q^84 - 5076 * q^85 + 1534 * q^87 - 7660 * q^91 - 1370 * q^93 - 9680 * q^94 + 3198 * q^96 + 3672 * q^97 - 2110 * 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.