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Properties

Label 483.3.ba
Level $483$
Weight $3$
Character orbit 483.ba
Rep. character $\chi_{483}(5,\cdot)$
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.ba (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

\( 2480 q - 27 q^{3} - 258 q^{4} - 44 q^{7} + 7 q^{9} + O(q^{10}) \) \( 2480 q - 27 q^{3} - 258 q^{4} - 44 q^{7} + 7 q^{9} - 66 q^{10} - 3 q^{12} - 44 q^{15} + 430 q^{16} - 121 q^{18} - 66 q^{19} + 44 q^{21} - 66 q^{24} - 590 q^{25} - 44 q^{28} - 363 q^{30} - 54 q^{31} - 33 q^{33} + 148 q^{36} - 374 q^{37} + 29 q^{39} - 66 q^{40} - 22 q^{42} + 88 q^{43} + 66 q^{46} - 660 q^{49} - 11 q^{51} - 246 q^{52} - 291 q^{54} - 44 q^{57} + 302 q^{58} - 11 q^{60} - 66 q^{61} - 297 q^{63} + 1496 q^{64} + 264 q^{66} - 22 q^{67} - 812 q^{70} + 59 q^{72} - 678 q^{73} + 99 q^{75} - 3220 q^{78} + 462 q^{79} + 1271 q^{81} - 330 q^{82} + 1034 q^{84} - 536 q^{85} + 885 q^{87} + 330 q^{88} + 312 q^{93} + 90 q^{94} + 171 q^{96} + 2068 q^{99} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

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

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