Learn more

Refine search


Results (1-50 of 55 matches)

Next   Download to        
Label Char Prim Dim $A$ Field CM RM Traces Fricke sign Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
1449.1.c.a 1449.c 483.c $4$ $0.723$ \(\Q(\zeta_{8})\) \(\Q(\sqrt{-7}) \) None \(0\) \(0\) \(0\) \(0\) \(q+(-\zeta_{8}-\zeta_{8}^{3})q^{2}-q^{4}+\zeta_{8}^{2}q^{7}+\cdots\)
1449.1.bq.a 1449.bq 161.l $10$ $0.723$ \(\Q(\zeta_{22})\) \(\Q(\sqrt{-7}) \) None \(2\) \(0\) \(0\) \(-1\) \(q+(\zeta_{22}^{3}-\zeta_{22}^{10})q^{2}+(\zeta_{22}^{2}+\zeta_{22}^{6}+\cdots)q^{4}+\cdots\)
1449.1.bq.b 1449.bq 161.l $20$ $0.723$ \(\Q(\zeta_{44})\) \(\Q(\sqrt{-7}) \) None \(0\) \(0\) \(0\) \(2\) \(q+(-\zeta_{44}^{5}-\zeta_{44}^{7})q^{2}+(\zeta_{44}^{10}+\zeta_{44}^{12}+\cdots)q^{4}+\cdots\)
1449.1.bu.a 1449.bu 483.w $40$ $0.723$ \(\Q(\zeta_{88})\) \(\Q(\sqrt{-7}) \) None \(0\) \(0\) \(0\) \(0\) \(q+(-\zeta_{88}^{5}-\zeta_{88}^{7})q^{2}+(\zeta_{88}^{10}+\zeta_{88}^{12}+\cdots)q^{4}+\cdots\)
1449.2.a.a 1449.a 1.a $1$ $11.570$ \(\Q\) None None \(-2\) \(0\) \(-4\) \(-1\) $+$ $\mathrm{SU}(2)$ \(q-2q^{2}+2q^{4}-4q^{5}-q^{7}+8q^{10}+\cdots\)
1449.2.a.b 1449.a 1.a $1$ $11.570$ \(\Q\) None None \(-2\) \(0\) \(-2\) \(1\) $+$ $\mathrm{SU}(2)$ \(q-2q^{2}+2q^{4}-2q^{5}+q^{7}+4q^{10}+\cdots\)
1449.2.a.c 1449.a 1.a $1$ $11.570$ \(\Q\) None None \(-2\) \(0\) \(0\) \(1\) $+$ $\mathrm{SU}(2)$ \(q-2q^{2}+2q^{4}+q^{7}-q^{11}+2q^{13}+\cdots\)
1449.2.a.d 1449.a 1.a $1$ $11.570$ \(\Q\) None None \(1\) \(0\) \(-2\) \(1\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{4}-2q^{5}+q^{7}-3q^{8}-2q^{10}+\cdots\)
1449.2.a.e 1449.a 1.a $1$ $11.570$ \(\Q\) None None \(2\) \(0\) \(2\) \(1\) $-$ $\mathrm{SU}(2)$ \(q+2q^{2}+2q^{4}+2q^{5}+q^{7}+4q^{10}+\cdots\)
1449.2.a.f 1449.a 1.a $2$ $11.570$ \(\Q(\sqrt{5}) \) None None \(-1\) \(0\) \(3\) \(2\) $+$ $\mathrm{SU}(2)$ \(q-\beta q^{2}+(-1+\beta )q^{4}+(1+\beta )q^{5}+q^{7}+\cdots\)
1449.2.a.g 1449.a 1.a $2$ $11.570$ \(\Q(\sqrt{5}) \) None None \(1\) \(0\) \(-5\) \(2\) $+$ $\mathrm{SU}(2)$ \(q+\beta q^{2}+(-1+\beta )q^{4}+(-3+\beta )q^{5}+\cdots\)
1449.2.a.h 1449.a 1.a $2$ $11.570$ \(\Q(\sqrt{5}) \) None None \(1\) \(0\) \(-1\) \(-2\) $+$ $\mathrm{SU}(2)$ \(q+\beta q^{2}+(-1+\beta )q^{4}+(-1+\beta )q^{5}+\cdots\)
1449.2.a.i 1449.a 1.a $2$ $11.570$ \(\Q(\sqrt{5}) \) None None \(1\) \(0\) \(2\) \(-2\) $+$ $\mathrm{SU}(2)$ \(q+\beta q^{2}+(-1+\beta )q^{4}+(2-2\beta )q^{5}+\cdots\)
1449.2.a.j 1449.a 1.a $2$ $11.570$ \(\Q(\sqrt{13}) \) None None \(1\) \(0\) \(5\) \(-2\) $-$ $\mathrm{SU}(2)$ \(q+\beta q^{2}+(1+\beta )q^{4}+(3-\beta )q^{5}-q^{7}+\cdots\)
1449.2.a.k 1449.a 1.a $2$ $11.570$ \(\Q(\sqrt{5}) \) None None \(3\) \(0\) \(5\) \(2\) $-$ $\mathrm{SU}(2)$ \(q+(1+\beta )q^{2}+3\beta q^{4}+(2+\beta )q^{5}+q^{7}+\cdots\)
1449.2.a.l 1449.a 1.a $3$ $11.570$ 3.3.837.1 None None \(0\) \(0\) \(-3\) \(-3\) $+$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}+(2+\beta _{2})q^{4}+(-1+\beta _{1})q^{5}+\cdots\)
1449.2.a.m 1449.a 1.a $3$ $11.570$ 3.3.148.1 None None \(1\) \(0\) \(-2\) \(-3\) $-$ $\mathrm{SU}(2)$ \(q+(\beta _{1}+\beta _{2})q^{2}+(1+2\beta _{1})q^{4}+(-1+\cdots)q^{5}+\cdots\)
1449.2.a.n 1449.a 1.a $4$ $11.570$ 4.4.2624.1 None None \(-2\) \(0\) \(-2\) \(4\) $+$ $\mathrm{SU}(2)$ \(q+(-1+\beta _{1}-\beta _{3})q^{2}+(2-2\beta _{1}-\beta _{2}+\cdots)q^{4}+\cdots\)
1449.2.a.o 1449.a 1.a $4$ $11.570$ 4.4.15317.1 None None \(-2\) \(0\) \(-5\) \(-4\) $-$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}+(1+\beta _{1}+\beta _{2})q^{4}+(-2-\beta _{2}+\cdots)q^{5}+\cdots\)
1449.2.a.p 1449.a 1.a $4$ $11.570$ 4.4.24197.1 None None \(0\) \(0\) \(-5\) \(4\) $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}+(-1+\beta _{3})q^{5}+\cdots\)
1449.2.a.q 1449.a 1.a $4$ $11.570$ 4.4.2624.1 None None \(2\) \(0\) \(2\) \(4\) $-$ $\mathrm{SU}(2)$ \(q+(1-\beta _{1}+\beta _{3})q^{2}+(2-2\beta _{1}-\beta _{2}+\cdots)q^{4}+\cdots\)
1449.2.a.r 1449.a 1.a $5$ $11.570$ 5.5.2147108.1 None None \(-2\) \(0\) \(4\) \(5\) $-$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}+(2+\beta _{2})q^{4}+(1+\beta _{4})q^{5}+\cdots\)
1449.2.a.s 1449.a 1.a $5$ $11.570$ 5.5.1337792.1 None None \(0\) \(0\) \(-4\) \(-5\) $+$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}+(1+\beta _{2})q^{4}+(-1-\beta _{2})q^{5}+\cdots\)
1449.2.a.t 1449.a 1.a $5$ $11.570$ 5.5.1337792.1 None None \(0\) \(0\) \(4\) \(-5\) $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}+(1+\beta _{2})q^{5}+\cdots\)
1449.2.d.a 1449.d 21.c $56$ $11.570$ None None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$
1449.2.e.a 1449.e 69.c $48$ $11.570$ None None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$
1449.2.h.a 1449.h 161.c $2$ $11.570$ \(\Q(\sqrt{-7}) \) \(\Q(\sqrt{-7}) \) None \(2\) \(0\) \(0\) \(0\) $\mathrm{U}(1)[D_{2}]$ \(q+q^{2}-q^{4}+\beta q^{7}-3q^{8}-2\beta q^{11}+\cdots\)
1449.2.h.b 1449.h 161.c $4$ $11.570$ \(\Q(\sqrt{7}, \sqrt{-23})\) \(\Q(\sqrt{-483}) \) None \(0\) \(0\) \(0\) \(0\) $\mathrm{U}(1)[D_{2}]$ \(q-2q^{4}+\beta _{1}q^{7}-\beta _{3}q^{11}+4q^{16}+\cdots\)
1449.2.h.c 1449.h 161.c $4$ $11.570$ \(\Q(i, \sqrt{7})\) \(\Q(\sqrt{-7}) \) None \(0\) \(0\) \(0\) \(0\) $\mathrm{U}(1)[D_{2}]$ \(q-\beta _{2}q^{2}+5q^{4}+\beta _{3}q^{7}-3\beta _{2}q^{8}+\cdots\)
1449.2.h.d 1449.h 161.c $8$ $11.570$ 8.0.342102016.5 None None \(8\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+q^{2}-q^{4}-\beta _{2}q^{5}+(-\beta _{1}-\beta _{3})q^{7}+\cdots\)
1449.2.h.e 1449.h 161.c $12$ $11.570$ \(\mathbb{Q}[x]/(x^{12} + \cdots)\) None None \(-4\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+\beta _{2}q^{2}+(3+\beta _{7})q^{4}-\beta _{5}q^{5}+(-\beta _{1}+\cdots)q^{7}+\cdots\)
1449.2.h.f 1449.h 161.c $12$ $11.570$ \(\mathbb{Q}[x]/(x^{12} + \cdots)\) None None \(0\) \(0\) \(-20\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-\beta _{5}q^{2}+(1-\beta _{2})q^{4}+(-2+\beta _{7})q^{5}+\cdots\)
1449.2.h.g 1449.h 161.c $12$ $11.570$ \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+\beta _{4}q^{2}+(1-\beta _{3})q^{4}-\beta _{2}q^{5}+\beta _{7}q^{7}+\cdots\)
1449.2.h.h 1449.h 161.c $12$ $11.570$ \(\mathbb{Q}[x]/(x^{12} + \cdots)\) None None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-\beta _{8}q^{2}+(1-\beta _{7})q^{4}+(-\beta _{1}+\beta _{2}+\cdots)q^{5}+\cdots\)
1449.2.h.i 1449.h 161.c $12$ $11.570$ \(\mathbb{Q}[x]/(x^{12} + \cdots)\) None None \(0\) \(0\) \(20\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-\beta _{5}q^{2}+(1-\beta _{2})q^{4}+(2-\beta _{7})q^{5}+\cdots\)
1449.3.b.a 1449.b 3.b $88$ $39.482$ None None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$
1449.4.a.a 1449.a 1.a $1$ $85.494$ \(\Q\) None None \(-3\) \(0\) \(-3\) \(7\) $-$ $\mathrm{SU}(2)$ \(q-3q^{2}+q^{4}-3q^{5}+7q^{7}+21q^{8}+\cdots\)
1449.4.a.b 1449.a 1.a $1$ $85.494$ \(\Q\) None None \(3\) \(0\) \(3\) \(7\) $+$ $\mathrm{SU}(2)$ \(q+3q^{2}+q^{4}+3q^{5}+7q^{7}-21q^{8}+\cdots\)
1449.4.a.c 1449.a 1.a $3$ $85.494$ 3.3.3877.1 None None \(4\) \(0\) \(-2\) \(-21\) $+$ $\mathrm{SU}(2)$ \(q+(1+\beta _{1})q^{2}+(1+4\beta _{1}+\beta _{2})q^{4}+(-1+\cdots)q^{5}+\cdots\)
1449.4.a.d 1449.a 1.a $4$ $85.494$ 4.4.8184789.1 None None \(-2\) \(0\) \(23\) \(-28\) $+$ $\mathrm{SU}(2)$ \(q+(-1-\beta _{1})q^{2}+(3+\beta _{1})q^{4}+(6+\beta _{1}+\cdots)q^{5}+\cdots\)
1449.4.a.e 1449.a 1.a $5$ $85.494$ \(\mathbb{Q}[x]/(x^{5} - \cdots)\) None None \(4\) \(0\) \(4\) \(35\) $-$ $\mathrm{SU}(2)$ \(q+(1-\beta _{1})q^{2}+\beta _{2}q^{4}+(1+\beta _{2}-\beta _{4})q^{5}+\cdots\)
1449.4.a.f 1449.a 1.a $7$ $85.494$ \(\mathbb{Q}[x]/(x^{7} - \cdots)\) None None \(-2\) \(0\) \(11\) \(49\) $-$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}+(3+\beta _{2})q^{4}+(1+2\beta _{1}+\beta _{5}+\cdots)q^{5}+\cdots\)
1449.4.a.g 1449.a 1.a $7$ $85.494$ \(\mathbb{Q}[x]/(x^{7} - \cdots)\) None None \(2\) \(0\) \(11\) \(-49\) $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+(3+\beta _{4}+\beta _{5})q^{4}+(2-\beta _{2}+\cdots)q^{5}+\cdots\)
1449.4.a.h 1449.a 1.a $7$ $85.494$ \(\mathbb{Q}[x]/(x^{7} - \cdots)\) None None \(6\) \(0\) \(41\) \(49\) $+$ $\mathrm{SU}(2)$ \(q+(1-\beta _{1})q^{2}+(3-\beta _{1}+\beta _{2})q^{4}+(6+\cdots)q^{5}+\cdots\)
1449.4.a.i 1449.a 1.a $8$ $85.494$ \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None None \(0\) \(0\) \(24\) \(-56\) $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+(3+\beta _{1}+\beta _{3}-\beta _{4})q^{4}+(3+\cdots)q^{5}+\cdots\)
1449.4.a.j 1449.a 1.a $9$ $85.494$ \(\mathbb{Q}[x]/(x^{9} - \cdots)\) None None \(-8\) \(0\) \(-39\) \(63\) $-$ $\mathrm{SU}(2)$ \(q+(-1+\beta _{1})q^{2}+(4-2\beta _{1}+\beta _{2})q^{4}+\cdots\)
1449.4.a.k 1449.a 1.a $9$ $85.494$ \(\mathbb{Q}[x]/(x^{9} - \cdots)\) None None \(-4\) \(0\) \(-39\) \(-63\) $-$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}+(4+\beta _{2})q^{4}+(-4-\beta _{4})q^{5}+\cdots\)
1449.4.a.l 1449.a 1.a $9$ $85.494$ \(\mathbb{Q}[x]/(x^{9} - \cdots)\) None None \(-4\) \(0\) \(-9\) \(-63\) $+$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}+(4+\beta _{1}+\beta _{2})q^{4}+(-1-\beta _{7}+\cdots)q^{5}+\cdots\)
1449.4.a.m 1449.a 1.a $9$ $85.494$ \(\mathbb{Q}[x]/(x^{9} - \cdots)\) None None \(0\) \(0\) \(-29\) \(63\) $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+(5+\beta _{2})q^{4}+(-3-\beta _{7})q^{5}+\cdots\)
1449.4.a.n 1449.a 1.a $9$ $85.494$ \(\mathbb{Q}[x]/(x^{9} - \cdots)\) None None \(0\) \(0\) \(4\) \(-63\) $+$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}+(5+\beta _{1}+\beta _{2})q^{4}-\beta _{6}q^{5}+\cdots\)
Next   Download to