Space of modular forms of level 529, weight 4, and Character 529.e

• Label: 529.4.e
• Level: $529$
• Weight: $4$
• Character orbit: 529.e
• Rep. character: $\chi_{529}(24,\cdot)$
• Character field: $\Q(\zeta_{23})$
• Dimension: $3014$
• Sturm bound: $184$

Defining parameters

Level:	\( N \)	\(=\)	\( 529 = 23^{2} \)
Weight:	\( k \)	\(=\)	\( 4 \)
Character orbit:	\([\chi]\)	\(=\)	529.e (of order \(23\) and degree \(22\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 529 \)
Character field:			\(\Q(\zeta_{23})\)
Sturm bound:			\(184\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{4}(529, [\chi])\).

	Total	New	Old
Modular forms	3058	3058	0
Cusp forms	3014	3014	0
Eisenstein series	44	44	0

Trace form

3014 * q - 23 * q^2 - 25 * q^3 - 567 * q^4 - 123 * q^5 + 91 * q^6 - 77 * q^7 + 13 * q^8 - 1176 * q^9 + 35 * q^10 - 295 * q^11 - 15 * q^12 - 77 * q^13 + 105 * q^14 - 63 * q^15 - 2183 * q^16 - 41 * q^17 - 169 * q^18 + 227 * q^19 - 187 * q^20 - 243 * q^21 - 1532 * q^22 + 920 * q^23 + 405 * q^24 - 1762 * q^25 - 73 * q^26 + 53 * q^27 + 2216 * q^28 - 233 * q^29 + 443 * q^30 + 111 * q^31 + 545 * q^32 + 1117 * q^33 - 4851 * q^34 + 701 * q^35 - 8273 * q^36 + 2037 * q^37 - 911 * q^38 - 167 * q^39 + 147 * q^40 - 9 * q^41 + 3258 * q^42 - 113 * q^43 + 3147 * q^44 - 203 * q^45 - 1587 * q^46 + 1183 * q^47 - 1329 * q^48 - 4736 * q^49 - 1767 * q^50 - 4913 * q^51 - 2039 * q^52 - 3013 * q^53 + 31 * q^54 - 4199 * q^55 + 2159 * q^56 + 12933 * q^57 + 4255 * q^58 + 3559 * q^59 + 901 * q^60 + 13029 * q^61 + 1934 * q^62 + 18096 * q^63 - 7979 * q^64 - 6513 * q^65 + 11443 * q^66 - 8475 * q^67 - 627 * q^68 - 8349 * q^69 - 7309 * q^70 - 269 * q^71 - 2303 * q^72 - 177 * q^73 + 18945 * q^74 + 5899 * q^75 + 3529 * q^76 + 57 * q^77 + 10828 * q^78 + 2137 * q^79 + 11755 * q^80 - 17358 * q^81 - 1139 * q^82 - 129 * q^83 - 3282 * q^84 - 727 * q^85 - 765 * q^86 - 16773 * q^87 - 435 * q^88 - 1905 * q^89 + 4197 * q^90 - 771 * q^91 - 9660 * q^92 + 2069 * q^93 - 3027 * q^94 + 221 * q^95 - 1457 * q^96 - 121 * q^97 - 1701 * q^98 + 13503 * q^99

Decomposition of \(S_{4}^{\mathrm{new}}(529, [\chi])\) into newform subspaces

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