Properties

Label 483.3.z
Level $483$
Weight $3$
Character orbit 483.z
Rep. character $\chi_{483}(2,\cdot)$
Character field $\Q(\zeta_{66})$
Dimension $2480$
Sturm bound $192$

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Defining parameters

Level: \( N \) \(=\) \( 483 = 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 3 \)
Character orbit: \([\chi]\) \(=\) 483.z (of order \(66\) and degree \(20\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 483 \)
Character field: \(\Q(\zeta_{66})\)
Sturm bound: \(192\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{3}(483, [\chi])\).

Total New Old
Modular forms 2640 2640 0
Cusp forms 2480 2480 0
Eisenstein series 160 160 0

Trace form

\( 2480 q - 9 q^{3} - 258 q^{4} - 4 q^{6} - 36 q^{7} + 7 q^{9} + O(q^{10}) \) \( 2480 q - 9 q^{3} - 258 q^{4} - 4 q^{6} - 36 q^{7} + 7 q^{9} + 14 q^{10} - 53 q^{12} - 72 q^{13} - 32 q^{15} + 430 q^{16} + 135 q^{18} - 18 q^{19} - 162 q^{21} + 64 q^{22} + 58 q^{24} - 526 q^{25} - 306 q^{27} - 116 q^{28} - 351 q^{30} - 18 q^{31} - 121 q^{33} - 232 q^{34} + 68 q^{36} + 238 q^{37} - 95 q^{39} - 58 q^{40} + 124 q^{42} - 184 q^{43} + 200 q^{45} + 38 q^{46} + 64 q^{48} - 436 q^{49} - 47 q^{51} - 1182 q^{52} - 617 q^{54} - 400 q^{55} - 268 q^{57} - 498 q^{58} + 97 q^{60} - 330 q^{61} - 277 q^{63} + 1496 q^{64} - 142 q^{66} + 222 q^{67} - 164 q^{69} - 332 q^{70} - 477 q^{72} + 126 q^{73} + 795 q^{75} - 168 q^{76} + 2620 q^{78} - 670 q^{79} + 1191 q^{81} + 818 q^{82} + 114 q^{84} + 280 q^{85} - 345 q^{87} - 266 q^{88} - 236 q^{90} + 140 q^{91} - 80 q^{93} - 706 q^{94} + 61 q^{96} - 152 q^{97} - 1700 q^{99} + O(q^{100}) \)

Decomposition of \(S_{3}^{\mathrm{new}}(483, [\chi])\) into newform subspaces

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