Learn more

Refine search


Results (13 matches)

  displayed columns for results
Label Char Prim Dim $A$ Field CM Traces A-L signs Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$ 3 7 191
4011.2.a.a 4011.a 1.a $1$ $32.028$ \(\Q\) None \(-2\) \(1\) \(1\) \(1\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-2q^{2}+q^{3}+2q^{4}+q^{5}-2q^{6}+q^{7}+\cdots\)
4011.2.a.b 4011.a 1.a $1$ $32.028$ \(\Q\) None \(-1\) \(1\) \(-1\) \(1\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}-q^{4}-q^{5}-q^{6}+q^{7}+\cdots\)
4011.2.a.c 4011.a 1.a $1$ $32.028$ \(\Q\) None \(0\) \(1\) \(-4\) \(-1\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}-2q^{4}-4q^{5}-q^{7}+q^{9}-3q^{11}+\cdots\)
4011.2.a.d 4011.a 1.a $1$ $32.028$ \(\Q\) None \(2\) \(-1\) \(4\) \(1\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+2q^{2}-q^{3}+2q^{4}+4q^{5}-2q^{6}+\cdots\)
4011.2.a.e 4011.a 1.a $3$ $32.028$ 3.3.229.1 None \(0\) \(-3\) \(2\) \(-3\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}+(1+\beta _{2})q^{5}+\cdots\)
4011.2.a.f 4011.a 1.a $18$ $32.028$ \(\mathbb{Q}[x]/(x^{18} - \cdots)\) None \(-6\) \(18\) \(-21\) \(18\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}+q^{3}+(1+\beta _{1}+\beta _{2})q^{4}+(-1+\cdots)q^{5}+\cdots\)
4011.2.a.g 4011.a 1.a $18$ $32.028$ \(\mathbb{Q}[x]/(x^{18} - \cdots)\) None \(-3\) \(18\) \(-10\) \(-18\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}+q^{3}+(1+\beta _{2})q^{4}+(-1-\beta _{10}+\cdots)q^{5}+\cdots\)
4011.2.a.h 4011.a 1.a $19$ $32.028$ \(\mathbb{Q}[x]/(x^{19} - \cdots)\) None \(-1\) \(-19\) \(-4\) \(-19\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}-\beta _{4}q^{5}+\cdots\)
4011.2.a.i 4011.a 1.a $19$ $32.028$ \(\mathbb{Q}[x]/(x^{19} - \cdots)\) None \(3\) \(-19\) \(-12\) \(19\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}+(-1-\beta _{8}+\cdots)q^{5}+\cdots\)
4011.2.a.j 4011.a 1.a $26$ $32.028$ None \(0\) \(-26\) \(2\) \(-26\) $+$ $+$ $-$ $\mathrm{SU}(2)$
4011.2.a.k 4011.a 1.a $27$ $32.028$ None \(9\) \(27\) \(23\) \(27\) $-$ $-$ $-$ $\mathrm{SU}(2)$
4011.2.a.l 4011.a 1.a $28$ $32.028$ None \(-6\) \(-28\) \(8\) \(28\) $+$ $-$ $+$ $\mathrm{SU}(2)$
4011.2.a.m 4011.a 1.a $29$ $32.028$ None \(6\) \(29\) \(22\) \(-29\) $-$ $+$ $+$ $\mathrm{SU}(2)$
  displayed columns for results