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Level Weight Analytic conductor \(Nk^2\) Dim.
Bad \(p\) Char. Primitive character Character order Coefficient field
Self-twists CM/RM discriminant Inner twist count Is self-dual Analytic rank
Coefficient ring index Coefficient ring gens. Projective image Projective image type
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Results (18 matches)

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Label Char Prim Dim $A$ Field CM Traces A-L signs Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$ 2 7 41
4018.2.a.f 4018.a 1.a $1$ $32.084$ \(\Q\) None \(-1\) \(-1\) \(3\) \(0\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}+q^{4}+3q^{5}+q^{6}-q^{8}+\cdots\)
4018.2.a.n 4018.a 1.a $1$ $32.084$ \(\Q\) None \(1\) \(0\) \(4\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}+4q^{5}+q^{8}-3q^{9}+4q^{10}+\cdots\)
4018.2.a.q 4018.a 1.a $1$ $32.084$ \(\Q\) None \(1\) \(1\) \(3\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{3}+q^{4}+3q^{5}+q^{6}+q^{8}+\cdots\)
4018.2.a.s 4018.a 1.a $1$ $32.084$ \(\Q\) None \(1\) \(3\) \(1\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+3q^{3}+q^{4}+q^{5}+3q^{6}+q^{8}+\cdots\)
4018.2.a.w 4018.a 1.a $2$ $32.084$ \(\Q(\sqrt{5}) \) None \(-2\) \(2\) \(0\) \(0\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}+q^{4}+\beta q^{5}-q^{6}-q^{8}+\cdots\)
4018.2.a.ba 4018.a 1.a $2$ $32.084$ \(\Q(\sqrt{2}) \) None \(2\) \(0\) \(0\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+\beta q^{3}+q^{4}-2\beta q^{5}+\beta q^{6}+\cdots\)
4018.2.a.bb 4018.a 1.a $2$ $32.084$ \(\Q(\sqrt{2}) \) None \(2\) \(2\) \(-2\) \(0\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}+(1+\beta )q^{3}+q^{4}-q^{5}+(1+\beta )q^{6}+\cdots\)
4018.2.a.bc 4018.a 1.a $2$ $32.084$ \(\Q(\sqrt{2}) \) None \(2\) \(2\) \(2\) \(0\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}+(1+\beta )q^{3}+q^{4}+(1+2\beta )q^{5}+\cdots\)
4018.2.a.be 4018.a 1.a $3$ $32.084$ 3.3.404.1 None \(-3\) \(0\) \(2\) \(0\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+(-\beta _{1}+\beta _{2})q^{3}+q^{4}+(1-\beta _{1}+\cdots)q^{5}+\cdots\)
4018.2.a.bg 4018.a 1.a $3$ $32.084$ 3.3.568.1 None \(3\) \(-1\) \(-1\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+\beta _{2}q^{3}+q^{4}-\beta _{1}q^{5}+\beta _{2}q^{6}+\cdots\)
4018.2.a.bj 4018.a 1.a $4$ $32.084$ 4.4.11348.1 None \(-4\) \(1\) \(-3\) \(0\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+\beta _{2}q^{3}+q^{4}+(-1+\beta _{2}-\beta _{3})q^{5}+\cdots\)
4018.2.a.bm 4018.a 1.a $4$ $32.084$ 4.4.37108.1 None \(4\) \(3\) \(3\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+(1+\beta _{2})q^{3}+q^{4}+(1-\beta _{1})q^{5}+\cdots\)
4018.2.a.bn 4018.a 1.a $6$ $32.084$ 6.6.52046292.1 None \(-6\) \(-1\) \(0\) \(0\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+\beta _{3}q^{3}+q^{4}+\beta _{4}q^{5}-\beta _{3}q^{6}+\cdots\)
4018.2.a.bo 4018.a 1.a $6$ $32.084$ 6.6.52046292.1 None \(-6\) \(1\) \(0\) \(0\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}-\beta _{3}q^{3}+q^{4}-\beta _{4}q^{5}+\beta _{3}q^{6}+\cdots\)
4018.2.a.bq 4018.a 1.a $6$ $32.084$ 6.6.5163008.1 None \(6\) \(4\) \(12\) \(0\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}+(1+\beta _{2}+\beta _{3}-\beta _{4})q^{3}+q^{4}+\cdots\)
4018.2.a.bs 4018.a 1.a $10$ $32.084$ \(\mathbb{Q}[x]/(x^{10} - \cdots)\) None \(-10\) \(4\) \(4\) \(0\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}-\beta _{3}q^{3}+q^{4}+\beta _{2}q^{5}+\beta _{3}q^{6}+\cdots\)
4018.2.a.bt 4018.a 1.a $10$ $32.084$ \(\mathbb{Q}[x]/(x^{10} - \cdots)\) None \(10\) \(-1\) \(2\) \(0\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}-\beta _{1}q^{3}+q^{4}-\beta _{4}q^{5}-\beta _{1}q^{6}+\cdots\)
4018.2.a.bu 4018.a 1.a $10$ $32.084$ \(\mathbb{Q}[x]/(x^{10} - \cdots)\) None \(10\) \(1\) \(-2\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+\beta _{1}q^{3}+q^{4}+\beta _{4}q^{5}+\beta _{1}q^{6}+\cdots\)
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