Space of modular forms of level 605, weight 6, and Character 605.u

• Label: 605.6.u
• Level: $605$
• Weight: $6$
• Character orbit: 605.u
• Rep. character: $\chi_{605}(4,\cdot)$
• Character field: $\Q(\zeta_{110})$
• Dimension: $13120$
• Sturm bound: $396$

Defining parameters

Level:	\( N \)	\(=\)	\( 605 = 5 \cdot 11^{2} \)
Weight:	\( k \)	\(=\)	\( 6 \)
Character orbit:	\([\chi]\)	\(=\)	605.u (of order \(110\) and degree \(40\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 605 \)
Character field:			\(\Q(\zeta_{110})\)
Sturm bound:			\(396\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{6}(605, [\chi])\).

	Total	New	Old
Modular forms	13280	13280	0
Cusp forms	13120	13120	0
Eisenstein series	160	160	0

Trace form

13120 * q - 5298 * q^4 - 63 * q^5 - 514 * q^6 + 262050 * q^9 - 2772 * q^10 + 1680 * q^11 + 1366 * q^14 - 3218 * q^15 + 90134 * q^16 - 1038 * q^19 + 4338 * q^20 - 17578 * q^21 - 52016 * q^24 + 1895 * q^25 + 19516 * q^26 - 8754 * q^29 - 9233 * q^30 - 24854 * q^31 - 1704 * q^34 + 4534 * q^35 + 371442 * q^36 - 14072 * q^39 + 52445 * q^40 + 39276 * q^41 - 148046 * q^44 - 19242 * q^45 - 19270 * q^46 - 775562 * q^49 + 224556 * q^50 - 98500 * q^51 + 198056 * q^54 + 83992 * q^55 - 233372 * q^56 + 80416 * q^59 - 149913 * q^60 - 72260 * q^61 - 1793566 * q^64 - 114207 * q^65 + 393376 * q^66 + 14366 * q^69 + 93370 * q^70 + 520702 * q^71 - 8708 * q^74 + 377074 * q^75 - 1419378 * q^76 + 488006 * q^79 - 768735 * q^80 - 20389438 * q^81 - 614734 * q^84 - 399328 * q^85 + 109990 * q^86 - 178382 * q^89 + 1261296 * q^90 - 34802 * q^91 + 718146 * q^94 - 307480 * q^95 - 1632 * q^96 - 624886 * q^99

Decomposition of \(S_{6}^{\mathrm{new}}(605, [\chi])\) into newform subspaces

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