Properties

Label 145.2.e
Level $145$
Weight $2$
Character orbit 145.e
Rep. character $\chi_{145}(12,\cdot)$
Character field $\Q(\zeta_{4})$
Dimension $26$
Newform subspaces $1$
Sturm bound $30$
Trace bound $0$

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Defining parameters

Level: \( N \) \(=\) \( 145 = 5 \cdot 29 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 145.e (of order \(4\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 145 \)
Character field: \(\Q(i)\)
Newform subspaces: \( 1 \)
Sturm bound: \(30\)
Trace bound: \(0\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(145, [\chi])\).

Total New Old
Modular forms 34 34 0
Cusp forms 26 26 0
Eisenstein series 8 8 0

Trace form

\( 26 q - 4 q^{3} - 22 q^{4} - 4 q^{7} + 10 q^{9} - 8 q^{10} - 8 q^{11} - 8 q^{12} - 14 q^{13} + 4 q^{14} - 10 q^{15} + 6 q^{16} - 20 q^{20} + 16 q^{21} + 8 q^{22} - 4 q^{23} + 10 q^{25} + 6 q^{26} - 4 q^{27}+ \cdots - 36 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Decomposition of \(S_{2}^{\mathrm{new}}(145, [\chi])\) into newform subspaces

Label Char Prim Dim $A$ Field CM Minimal twist Traces Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
145.2.e.a 145.e 145.e $26$ $1.158$ None 145.2.e.a \(0\) \(-4\) \(0\) \(-4\) $\mathrm{SU}(2)[C_{4}]$