Learn more

Refine search


Results (35 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 5 13 31
6045.2.a.a 6045.a 1.a $1$ $48.270$ \(\Q\) None \(-2\) \(-1\) \(-1\) \(-5\) $+$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-2q^{2}-q^{3}+2q^{4}-q^{5}+2q^{6}-5q^{7}+\cdots\)
6045.2.a.b 6045.a 1.a $1$ $48.270$ \(\Q\) None \(-2\) \(-1\) \(1\) \(2\) $+$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-2q^{2}-q^{3}+2q^{4}+q^{5}+2q^{6}+2q^{7}+\cdots\)
6045.2.a.c 6045.a 1.a $1$ $48.270$ \(\Q\) None \(-2\) \(1\) \(1\) \(-3\) $-$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-2q^{2}+q^{3}+2q^{4}+q^{5}-2q^{6}-3q^{7}+\cdots\)
6045.2.a.d 6045.a 1.a $1$ $48.270$ \(\Q\) None \(0\) \(-1\) \(-1\) \(-3\) $+$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}-2q^{4}-q^{5}-3q^{7}+q^{9}-3q^{11}+\cdots\)
6045.2.a.e 6045.a 1.a $1$ $48.270$ \(\Q\) None \(0\) \(1\) \(-1\) \(-5\) $-$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}-2q^{4}-q^{5}-5q^{7}+q^{9}+q^{11}+\cdots\)
6045.2.a.f 6045.a 1.a $1$ $48.270$ \(\Q\) None \(0\) \(1\) \(-1\) \(-1\) $-$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}-2q^{4}-q^{5}-q^{7}+q^{9}-3q^{11}+\cdots\)
6045.2.a.g 6045.a 1.a $1$ $48.270$ \(\Q\) None \(0\) \(1\) \(-1\) \(-1\) $-$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}-2q^{4}-q^{5}-q^{7}+q^{9}+6q^{11}+\cdots\)
6045.2.a.h 6045.a 1.a $1$ $48.270$ \(\Q\) None \(1\) \(-1\) \(-1\) \(4\) $+$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}-q^{4}-q^{5}-q^{6}+4q^{7}+\cdots\)
6045.2.a.i 6045.a 1.a $1$ $48.270$ \(\Q\) None \(1\) \(1\) \(-1\) \(0\) $-$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{3}-q^{4}-q^{5}+q^{6}-3q^{8}+\cdots\)
6045.2.a.j 6045.a 1.a $1$ $48.270$ \(\Q\) None \(1\) \(1\) \(-1\) \(0\) $-$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{3}-q^{4}-q^{5}+q^{6}-3q^{8}+\cdots\)
6045.2.a.k 6045.a 1.a $1$ $48.270$ \(\Q\) None \(2\) \(1\) \(-1\) \(2\) $-$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q+2q^{2}+q^{3}+2q^{4}-q^{5}+2q^{6}+2q^{7}+\cdots\)
6045.2.a.l 6045.a 1.a $1$ $48.270$ \(\Q\) None \(2\) \(1\) \(1\) \(2\) $-$ $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+2q^{2}+q^{3}+2q^{4}+q^{5}+2q^{6}+2q^{7}+\cdots\)
6045.2.a.m 6045.a 1.a $2$ $48.270$ \(\Q(\sqrt{17}) \) None \(-4\) \(2\) \(-2\) \(-3\) $-$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-2q^{2}+q^{3}+2q^{4}-q^{5}-2q^{6}+(-2+\cdots)q^{7}+\cdots\)
6045.2.a.n 6045.a 1.a $2$ $48.270$ \(\Q(\sqrt{17}) \) None \(0\) \(-2\) \(-2\) \(0\) $+$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-2q^{4}-q^{5}+(-1+2\beta )q^{7}+\cdots\)
6045.2.a.o 6045.a 1.a $2$ $48.270$ \(\Q(\sqrt{3}) \) None \(0\) \(-2\) \(-2\) \(4\) $+$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+\beta q^{2}-q^{3}+q^{4}-q^{5}-\beta q^{6}+2q^{7}+\cdots\)
6045.2.a.p 6045.a 1.a $2$ $48.270$ \(\Q(\sqrt{2}) \) None \(0\) \(2\) \(2\) \(2\) $-$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+\beta q^{2}+q^{3}+q^{5}+\beta q^{6}+(1+\beta )q^{7}+\cdots\)
6045.2.a.q 6045.a 1.a $3$ $48.270$ 3.3.148.1 None \(0\) \(3\) \(-3\) \(7\) $-$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-\beta _{2}q^{2}+q^{3}+(1-\beta _{1}-\beta _{2})q^{4}-q^{5}+\cdots\)
6045.2.a.r 6045.a 1.a $3$ $48.270$ 3.3.316.1 None \(1\) \(3\) \(3\) \(8\) $-$ $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+q^{3}+(1+\beta _{2})q^{4}+q^{5}+\beta _{1}q^{6}+\cdots\)
6045.2.a.s 6045.a 1.a $5$ $48.270$ 5.5.230224.1 None \(0\) \(5\) \(5\) \(-1\) $-$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{2}q^{2}+q^{3}+(1+\beta _{4})q^{4}+q^{5}+\beta _{2}q^{6}+\cdots\)
6045.2.a.t 6045.a 1.a $9$ $48.270$ \(\mathbb{Q}[x]/(x^{9} - \cdots)\) None \(-6\) \(9\) \(9\) \(-12\) $-$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+(-1+\beta _{1})q^{2}+q^{3}+(1-\beta _{1}+\beta _{2}+\cdots)q^{4}+\cdots\)
6045.2.a.u 6045.a 1.a $9$ $48.270$ \(\mathbb{Q}[x]/(x^{9} - \cdots)\) None \(-3\) \(9\) \(9\) \(-5\) $-$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}+q^{3}+(\beta _{1}+\beta _{2})q^{4}+q^{5}+\cdots\)
6045.2.a.v 6045.a 1.a $10$ $48.270$ \(\mathbb{Q}[x]/(x^{10} - \cdots)\) None \(4\) \(10\) \(-10\) \(-1\) $-$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+q^{3}+(2+\beta _{2})q^{4}-q^{5}+\beta _{1}q^{6}+\cdots\)
6045.2.a.w 6045.a 1.a $11$ $48.270$ \(\mathbb{Q}[x]/(x^{11} - \cdots)\) None \(2\) \(-11\) \(-11\) \(4\) $+$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}-q^{5}-\beta _{1}q^{6}+\cdots\)
6045.2.a.x 6045.a 1.a $12$ $48.270$ \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None \(-4\) \(12\) \(-12\) \(3\) $-$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}+q^{3}+(1+\beta _{2})q^{4}-q^{5}-\beta _{1}q^{6}+\cdots\)
6045.2.a.y 6045.a 1.a $12$ $48.270$ \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None \(-3\) \(12\) \(-12\) \(2\) $-$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}+q^{3}+(1+\beta _{2})q^{4}-q^{5}-\beta _{1}q^{6}+\cdots\)
6045.2.a.z 6045.a 1.a $12$ $48.270$ \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None \(0\) \(-12\) \(-12\) \(-7\) $+$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}-q^{5}+\beta _{1}q^{6}+\cdots\)
6045.2.a.ba 6045.a 1.a $13$ $48.270$ \(\mathbb{Q}[x]/(x^{13} - \cdots)\) None \(-1\) \(-13\) \(13\) \(-11\) $+$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}+q^{5}+\beta _{1}q^{6}+\cdots\)
6045.2.a.bb 6045.a 1.a $13$ $48.270$ \(\mathbb{Q}[x]/(x^{13} - \cdots)\) None \(3\) \(13\) \(13\) \(3\) $-$ $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+q^{3}+(1+\beta _{2})q^{4}+q^{5}+\beta _{1}q^{6}+\cdots\)
6045.2.a.bc 6045.a 1.a $14$ $48.270$ \(\mathbb{Q}[x]/(x^{14} - \cdots)\) None \(-3\) \(-14\) \(-14\) \(-1\) $+$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}-q^{5}+\beta _{1}q^{6}+\cdots\)
6045.2.a.bd 6045.a 1.a $14$ $48.270$ \(\mathbb{Q}[x]/(x^{14} - \cdots)\) None \(-2\) \(-14\) \(14\) \(5\) $+$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}+q^{5}+\beta _{1}q^{6}+\cdots\)
6045.2.a.be 6045.a 1.a $15$ $48.270$ \(\mathbb{Q}[x]/(x^{15} - \cdots)\) None \(-1\) \(-15\) \(15\) \(-16\) $+$ $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}+q^{5}+\beta _{1}q^{6}+\cdots\)
6045.2.a.bf 6045.a 1.a $15$ $48.270$ \(\mathbb{Q}[x]/(x^{15} - \cdots)\) None \(-1\) \(15\) \(-15\) \(-5\) $-$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}+q^{3}+(1+\beta _{2})q^{4}-q^{5}-\beta _{1}q^{6}+\cdots\)
6045.2.a.bg 6045.a 1.a $16$ $48.270$ \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None \(-2\) \(-16\) \(-16\) \(-2\) $+$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}-q^{3}+(2+\beta _{2})q^{4}-q^{5}+\beta _{1}q^{6}+\cdots\)
6045.2.a.bh 6045.a 1.a $17$ $48.270$ \(\mathbb{Q}[x]/(x^{17} - \cdots)\) None \(2\) \(-17\) \(17\) \(18\) $+$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}+q^{5}-\beta _{1}q^{6}+\cdots\)
6045.2.a.bi 6045.a 1.a $18$ $48.270$ \(\mathbb{Q}[x]/(x^{18} - \cdots)\) None \(4\) \(18\) \(18\) \(8\) $-$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+q^{3}+(1+\beta _{2})q^{4}+q^{5}+\beta _{1}q^{6}+\cdots\)
  displayed columns for results