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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 (16 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 5 37
1850.2.a.c 1850.a 1.a $1$ $14.772$ \(\Q\) None \(-1\) \(-1\) \(0\) \(4\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}+q^{4}+q^{6}+4q^{7}-q^{8}+\cdots\)
1850.2.a.g 1850.a 1.a $1$ $14.772$ \(\Q\) None \(-1\) \(3\) \(0\) \(0\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+3q^{3}+q^{4}-3q^{6}-q^{8}+6q^{9}+\cdots\)
1850.2.a.n 1850.a 1.a $1$ $14.772$ \(\Q\) None \(1\) \(2\) \(0\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+2q^{3}+q^{4}+2q^{6}+q^{8}+q^{9}+\cdots\)
1850.2.a.o 1850.a 1.a $1$ $14.772$ \(\Q\) None \(1\) \(2\) \(0\) \(1\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}+2q^{3}+q^{4}+2q^{6}+q^{7}+q^{8}+\cdots\)
1850.2.a.p 1850.a 1.a $1$ $14.772$ \(\Q\) None \(1\) \(2\) \(0\) \(4\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}+2q^{3}+q^{4}+2q^{6}+4q^{7}+q^{8}+\cdots\)
1850.2.a.s 1850.a 1.a $2$ $14.772$ \(\Q(\sqrt{6}) \) None \(-2\) \(0\) \(0\) \(-4\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+\beta q^{3}+q^{4}-\beta q^{6}+(-2-\beta )q^{7}+\cdots\)
1850.2.a.t 1850.a 1.a $2$ $14.772$ \(\Q(\sqrt{5}) \) None \(-2\) \(1\) \(0\) \(2\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+\beta q^{3}+q^{4}-\beta q^{6}+2\beta q^{7}+\cdots\)
1850.2.a.u 1850.a 1.a $2$ $14.772$ \(\Q(\sqrt{13}) \) None \(2\) \(-3\) \(0\) \(-2\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}+(-1-\beta )q^{3}+q^{4}+(-1-\beta )q^{6}+\cdots\)
1850.2.a.v 1850.a 1.a $2$ $14.772$ \(\Q(\sqrt{6}) \) None \(2\) \(0\) \(0\) \(4\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+\beta q^{3}+q^{4}+\beta q^{6}+(2-\beta )q^{7}+\cdots\)
1850.2.a.w 1850.a 1.a $2$ $14.772$ \(\Q(\sqrt{6}) \) None \(2\) \(2\) \(0\) \(0\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}+(1+\beta )q^{3}+q^{4}+(1+\beta )q^{6}+\cdots\)
1850.2.a.x 1850.a 1.a $2$ $14.772$ \(\Q(\sqrt{3}) \) None \(2\) \(2\) \(0\) \(6\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}+(1+\beta )q^{3}+q^{4}+(1+\beta )q^{6}+\cdots\)
1850.2.a.z 1850.a 1.a $3$ $14.772$ 3.3.892.1 None \(-3\) \(0\) \(0\) \(1\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+\beta _{2}q^{3}+q^{4}-\beta _{2}q^{6}+\beta _{1}q^{7}+\cdots\)
1850.2.a.ba 1850.a 1.a $3$ $14.772$ 3.3.148.1 None \(-3\) \(3\) \(0\) \(4\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+(1+\beta _{2})q^{3}+q^{4}+(-1-\beta _{2})q^{6}+\cdots\)
1850.2.a.bc 1850.a 1.a $3$ $14.772$ 3.3.1524.1 None \(3\) \(1\) \(0\) \(4\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+\beta _{1}q^{3}+q^{4}+\beta _{1}q^{6}+(1+\beta _{1}+\cdots)q^{7}+\cdots\)
1850.2.a.bd 1850.a 1.a $5$ $14.772$ 5.5.1791440.1 None \(-5\) \(0\) \(0\) \(1\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+\beta _{1}q^{3}+q^{4}-\beta _{1}q^{6}+(\beta _{1}+\beta _{2}+\cdots)q^{7}+\cdots\)
1850.2.a.be 1850.a 1.a $5$ $14.772$ 5.5.1791440.1 None \(5\) \(0\) \(0\) \(-1\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}-\beta _{1}q^{3}+q^{4}-\beta _{1}q^{6}+(-\beta _{1}+\cdots)q^{7}+\cdots\)
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