↑

Learn more

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

Refine search

Level Weight Analytic conductor Analytic rank Dim.
Bad \(p\) Char. Primitive character Character order Is maximal/largest
Coefficient field Self-twists CM/RM discriminant Inner twist count Is self-dual
Coefficient ring index Coefficient ring gens. Is twist minimal Projective image
Sort order Select

Results (7 matches)

  displayed columns for results
Label Char Prim Dim $A$ Field CM Minimal twist Traces A-L signs Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$ 5 13
845.2.a.b 845.a 1.a $2$ $6.747$ \(\Q(\sqrt{5}) \) None 65.2.e.a \(-1\) \(0\) \(-2\) \(-4\) $+$ $+$ $\mathrm{SU}(2)$ \(q-\beta q^{2}+(1-2\beta )q^{3}+(-1+\beta )q^{4}+\cdots\)
845.2.a.c 845.a 1.a $2$ $6.747$ \(\Q(\sqrt{13}) \) None 65.2.e.b \(-1\) \(2\) \(-2\) \(-2\) $+$ $+$ $\mathrm{SU}(2)$ \(q-\beta q^{2}+q^{3}+(1+\beta )q^{4}-q^{5}-\beta q^{6}+\cdots\)
845.2.a.g 845.a 1.a $2$ $6.747$ \(\Q(\sqrt{2}) \) None 65.2.a.b \(2\) \(0\) \(-2\) \(-4\) $+$ $+$ $\mathrm{SU}(2)$ \(q+(1+\beta )q^{2}-\beta q^{3}+(1+2\beta )q^{4}-q^{5}+\cdots\)
845.2.a.h 845.a 1.a $3$ $6.747$ \(\Q(\zeta_{14})^+\) None 845.2.a.h \(-1\) \(-5\) \(3\) \(-5\) $-$ $-$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}+(-1-\beta _{1}+\beta _{2})q^{3}+\beta _{2}q^{4}+\cdots\)
845.2.a.i 845.a 1.a $3$ $6.747$ 3.3.564.1 None 65.2.c.a \(-1\) \(-2\) \(3\) \(-2\) $-$ $-$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}+(-1+\beta _{1})q^{3}+(2+\beta _{2})q^{4}+\cdots\)
845.2.a.j 845.a 1.a $3$ $6.747$ \(\Q(\zeta_{14})^+\) None 845.2.a.h \(1\) \(-5\) \(-3\) \(5\) $+$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+(-1-\beta _{1}+\beta _{2})q^{3}+\beta _{2}q^{4}+\cdots\)
845.2.a.l 845.a 1.a $4$ $6.747$ 4.4.4752.1 None 65.2.m.a \(-2\) \(-2\) \(4\) \(-10\) $-$ $-$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}-\beta _{3}q^{3}+(\beta _{1}+\beta _{2})q^{4}+q^{5}+\cdots\)
  displayed columns for results