Properties

Label 483.2.v
Level $483$
Weight $2$
Character orbit 483.v
Rep. character $\chi_{483}(41,\cdot)$
Character field $\Q(\zeta_{22})$
Dimension $600$
Newform subspaces $1$
Sturm bound $128$
Trace bound $0$

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Defining parameters

Level: \( N \) \(=\) \( 483 = 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 483.v (of order \(22\) and degree \(10\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 483 \)
Character field: \(\Q(\zeta_{22})\)
Newform subspaces: \( 1 \)
Sturm bound: \(128\)
Trace bound: \(0\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(483, [\chi])\).

Total New Old
Modular forms 680 680 0
Cusp forms 600 600 0
Eisenstein series 80 80 0

Trace form

\( 600q + 20q^{4} - 18q^{7} - 26q^{9} + O(q^{10}) \) \( 600q + 20q^{4} - 18q^{7} - 26q^{9} - 14q^{15} - 116q^{16} - 46q^{18} - 50q^{21} - 104q^{22} - 88q^{25} - 26q^{28} + 26q^{30} - 26q^{36} - 56q^{37} - 14q^{39} + 5q^{42} - 40q^{43} - 44q^{46} + 74q^{49} + 14q^{51} - 66q^{57} - 76q^{58} + 22q^{60} - 44q^{63} + 44q^{64} - 92q^{67} - 92q^{70} + 178q^{72} - 182q^{78} + 68q^{79} + 106q^{81} - 87q^{84} - 4q^{85} - 220q^{88} - 24q^{91} - 44q^{93} - 250q^{99} + O(q^{100}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(483, [\chi])\) into newform subspaces

Label Dim. \(A\) Field CM Traces $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
483.2.v.a \(600\) \(3.857\) None \(0\) \(0\) \(0\) \(-18\)