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Note: Search results may be incomplete due to uncomputed quantities: fricke_eigenval (110727 objects)

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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 (17 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 3 17 59
6018.2.a.b 6018.a 1.a $1$ $48.054$ \(\Q\) None \(-1\) \(-1\) \(-2\) \(2\) $+$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}+q^{4}-2q^{5}+q^{6}+2q^{7}+\cdots\)
6018.2.a.d 6018.a 1.a $1$ $48.054$ \(\Q\) None \(-1\) \(1\) \(0\) \(5\) $+$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}+q^{4}-q^{6}+5q^{7}-q^{8}+\cdots\)
6018.2.a.e 6018.a 1.a $1$ $48.054$ \(\Q\) None \(-1\) \(1\) \(2\) \(-1\) $+$ $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}+q^{4}+2q^{5}-q^{6}-q^{7}+\cdots\)
6018.2.a.f 6018.a 1.a $1$ $48.054$ \(\Q\) None \(1\) \(-1\) \(0\) \(-2\) $-$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}+q^{4}-q^{6}-2q^{7}+q^{8}+\cdots\)
6018.2.a.g 6018.a 1.a $1$ $48.054$ \(\Q\) None \(1\) \(-1\) \(0\) \(3\) $-$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}+q^{4}-q^{6}+3q^{7}+q^{8}+\cdots\)
6018.2.a.h 6018.a 1.a $1$ $48.054$ \(\Q\) None \(1\) \(-1\) \(2\) \(-2\) $-$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}+q^{4}+2q^{5}-q^{6}-2q^{7}+\cdots\)
6018.2.a.i 6018.a 1.a $1$ $48.054$ \(\Q\) None \(1\) \(-1\) \(2\) \(1\) $-$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}+q^{4}+2q^{5}-q^{6}+q^{7}+\cdots\)
6018.2.a.j 6018.a 1.a $1$ $48.054$ \(\Q\) None \(1\) \(1\) \(-4\) \(-1\) $-$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{3}+q^{4}-4q^{5}+q^{6}-q^{7}+\cdots\)
6018.2.a.k 6018.a 1.a $1$ $48.054$ \(\Q\) None \(1\) \(1\) \(-2\) \(-3\) $-$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{3}+q^{4}-2q^{5}+q^{6}-3q^{7}+\cdots\)
6018.2.a.n 6018.a 1.a $4$ $48.054$ 4.4.2525.1 None \(4\) \(-4\) \(-3\) \(1\) $-$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}+q^{4}+(-\beta _{1}+\beta _{2}-\beta _{3})q^{5}+\cdots\)
6018.2.a.o 6018.a 1.a $4$ $48.054$ 4.4.725.1 None \(4\) \(4\) \(-1\) \(-1\) $-$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{3}+q^{4}+(-1+\beta _{1}+\beta _{3})q^{5}+\cdots\)
6018.2.a.q 6018.a 1.a $6$ $48.054$ 6.6.5173625.1 None \(6\) \(-6\) \(-5\) \(-1\) $-$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}+q^{4}+(-1+\beta _{1})q^{5}-q^{6}+\cdots\)
6018.2.a.r 6018.a 1.a $6$ $48.054$ 6.6.18461324.1 None \(6\) \(6\) \(-3\) \(-7\) $-$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{3}+q^{4}-\beta _{1}q^{5}+q^{6}+(-2+\cdots)q^{7}+\cdots\)
6018.2.a.t 6018.a 1.a $8$ $48.054$ \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None \(-8\) \(8\) \(-6\) \(-4\) $+$ $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}+q^{4}+(-1-\beta _{4})q^{5}-q^{6}+\cdots\)
6018.2.a.u 6018.a 1.a $9$ $48.054$ \(\mathbb{Q}[x]/(x^{9} - \cdots)\) None \(-9\) \(-9\) \(2\) \(-5\) $+$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}+q^{4}-\beta _{6}q^{5}+q^{6}+(-1+\cdots)q^{7}+\cdots\)
6018.2.a.v 6018.a 1.a $9$ $48.054$ \(\mathbb{Q}[x]/(x^{9} - \cdots)\) None \(-9\) \(-9\) \(6\) \(-11\) $+$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}+q^{4}+(1-\beta _{1})q^{5}+q^{6}+\cdots\)
6018.2.a.y 6018.a 1.a $10$ $48.054$ \(\mathbb{Q}[x]/(x^{10} - \cdots)\) None \(-10\) \(10\) \(-2\) \(-6\) $+$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}+q^{4}-\beta _{1}q^{5}-q^{6}+(-1+\cdots)q^{7}+\cdots\)
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