Learn more

Refine search


Results (1-50 of 74 matches)

Next   displayed columns for results
Label Char Prim Dim $A$ Field CM RM Minimal twist Traces Fricke sign Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
71.1.b.a 71.b 71.b $3$ $0.035$ \(\Q(\zeta_{14})^+\) \(\Q(\sqrt{-71}) \) None 71.1.b.a \(-1\) \(-1\) \(-1\) \(0\) \(q-\beta _{1}q^{2}+(-1+\beta _{1}-\beta _{2})q^{3}+(1+\beta _{2})q^{4}+\cdots\)
71.2.a.a 71.a 1.a $3$ $0.567$ 3.3.257.1 None None 71.2.a.a \(-1\) \(1\) \(5\) \(2\) $-$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}+\beta _{1}q^{3}+(1+\beta _{2})q^{4}+(2-\beta _{1}+\cdots)q^{5}+\cdots\)
71.2.a.b 71.a 1.a $3$ $0.567$ 3.3.257.1 None None 71.2.a.b \(0\) \(-1\) \(-3\) \(2\) $-$ $\mathrm{SU}(2)$ \(q+\beta _{2}q^{2}+(-\beta _{1}+\beta _{2})q^{3}+(1+\beta _{1}+\cdots)q^{4}+\cdots\)
71.2.c.a 71.c 71.c $20$ $0.567$ \(\mathbb{Q}[x]/(x^{20} - \cdots)\) None None 71.2.c.a \(-6\) \(-1\) \(-1\) \(-1\) $\mathrm{SU}(2)[C_{5}]$ \(q-\beta _{14}q^{2}+\beta _{17}q^{3}+(-\beta _{2}-\beta _{4}-\beta _{5}+\cdots)q^{4}+\cdots\)
71.2.d.a 71.d 71.d $30$ $0.567$ None None 71.2.d.a \(-3\) \(-10\) \(-10\) \(-3\) $\mathrm{SU}(2)[C_{7}]$
71.2.g.a 71.g 71.g $120$ $0.567$ None None 71.2.g.a \(-22\) \(-20\) \(-20\) \(-27\) $\mathrm{SU}(2)[C_{35}]$
71.3.b.a 71.b 71.b $4$ $1.935$ 4.0.2836736.1 None None 71.3.b.a \(-4\) \(-4\) \(-8\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+(-1-\beta _{1})q^{2}+(-1+\beta _{1})q^{3}+(-1+\cdots)q^{4}+\cdots\)
71.3.b.b 71.b 71.b $7$ $1.935$ 7.7.\(\cdots\).1 \(\Q(\sqrt{-71}) \) None 71.3.b.b \(0\) \(0\) \(0\) \(0\) $\mathrm{U}(1)[D_{2}]$ \(q+\beta _{2}q^{2}-\beta _{6}q^{3}+(4+2\beta _{3}+\beta _{4})q^{4}+\cdots\)
71.3.e.a 71.e 71.e $44$ $1.935$ None None 71.3.e.a \(-6\) \(-1\) \(3\) \(-5\) $\mathrm{SU}(2)[C_{10}]$
71.3.f.a 71.f 71.f $66$ $1.935$ None None 71.3.f.a \(-3\) \(-10\) \(-6\) \(-7\) $\mathrm{SU}(2)[C_{14}]$
71.3.h.a 71.h 71.h $264$ $1.935$ None None 71.3.h.a \(-22\) \(-20\) \(-24\) \(-23\) $\mathrm{SU}(2)[C_{70}]$
71.4.a.a 71.a 1.a $1$ $4.189$ \(\Q\) None None 71.4.a.a \(1\) \(1\) \(-16\) \(-1\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{3}-7q^{4}-2^{4}q^{5}+q^{6}-q^{7}+\cdots\)
71.4.a.b 71.a 1.a $4$ $4.189$ 4.4.135041.1 None None 71.4.a.b \(-3\) \(-6\) \(-9\) \(-35\) $-$ $\mathrm{SU}(2)$ \(q+(-1-\beta _{2})q^{2}+(-1+\beta _{1}+\beta _{2}-\beta _{3})q^{3}+\cdots\)
71.4.a.c 71.a 1.a $12$ $4.189$ \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None None 71.4.a.c \(2\) \(7\) \(15\) \(48\) $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+(1+\beta _{5})q^{3}+(4+\beta _{1}+\beta _{7}+\cdots)q^{4}+\cdots\)
71.4.c.a 71.c 71.c $68$ $4.189$ None None 71.4.c.a \(0\) \(-7\) \(5\) \(-17\) $\mathrm{SU}(2)[C_{5}]$
71.4.d.a 71.d 71.d $102$ $4.189$ None None 71.4.d.a \(-7\) \(5\) \(-4\) \(-19\) $\mathrm{SU}(2)[C_{7}]$
71.4.g.a 71.g 71.g $408$ $4.189$ None None 71.4.g.a \(-28\) \(-35\) \(-26\) \(-11\) $\mathrm{SU}(2)[C_{35}]$
71.5.b.a 71.b 71.b $7$ $7.339$ 7.7.\(\cdots\).1 \(\Q(\sqrt{-71}) \) None 71.5.b.a \(0\) \(0\) \(0\) \(0\) $\mathrm{U}(1)[D_{2}]$ \(q+(2\beta _{3}+\beta _{4})q^{2}+(-4\beta _{2}+\beta _{5})q^{3}+\cdots\)
71.5.b.b 71.b 71.b $16$ $7.339$ \(\mathbb{Q}[x]/(x^{16} + \cdots)\) None None 71.5.b.b \(4\) \(8\) \(4\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-\beta _{2}q^{2}+(1+\beta _{4})q^{3}+(4-\beta _{2}+\beta _{6}+\cdots)q^{4}+\cdots\)
71.5.e.a 71.e 71.e $92$ $7.339$ None None 71.5.e.a \(6\) \(-13\) \(-9\) \(-5\) $\mathrm{SU}(2)[C_{10}]$
71.5.f.a 71.f 71.f $138$ $7.339$ None None 71.5.f.a \(-11\) \(20\) \(-18\) \(-7\) $\mathrm{SU}(2)[C_{14}]$
71.5.h.a 71.h 71.h $552$ $7.339$ None None 71.5.h.a \(-34\) \(-50\) \(-12\) \(-23\) $\mathrm{SU}(2)[C_{70}]$
71.6.a.a 71.a 1.a $11$ $11.387$ \(\mathbb{Q}[x]/(x^{11} - \cdots)\) None None 71.6.a.a \(-4\) \(-20\) \(-72\) \(-344\) $+$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}+(-2+\beta _{1}+\beta _{3})q^{3}+(11+\cdots)q^{4}+\cdots\)
71.6.a.b 71.a 1.a $18$ $11.387$ \(\mathbb{Q}[x]/(x^{18} - \cdots)\) None None 71.6.a.b \(4\) \(16\) \(128\) \(244\) $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+(1+\beta _{3})q^{3}+(19+\beta _{2})q^{4}+\cdots\)
71.6.c.a 71.c 71.c $116$ $11.387$ None None 71.6.c.a \(0\) \(-1\) \(-61\) \(95\) $\mathrm{SU}(2)[C_{5}]$
71.6.d.a 71.d 71.d $174$ $11.387$ None None 71.6.d.a \(-7\) \(-10\) \(-70\) \(93\) $\mathrm{SU}(2)[C_{7}]$
71.6.g.a 71.g 71.g $696$ $11.387$ None None 71.6.g.a \(-28\) \(-20\) \(40\) \(-123\) $\mathrm{SU}(2)[C_{35}]$
71.7.b.a 71.b 71.b $7$ $16.334$ 7.7.\(\cdots\).1 \(\Q(\sqrt{-71}) \) None 71.7.b.a \(0\) \(0\) \(0\) \(0\) $\mathrm{U}(1)[D_{2}]$ \(q+(5\beta _{1}+\beta _{6})q^{2}+(15\beta _{3}-2\beta _{4})q^{3}+\cdots\)
71.7.b.b 71.b 71.b $28$ $16.334$ None None 71.7.b.b \(-12\) \(-34\) \(142\) \(0\) $\mathrm{SU}(2)[C_{2}]$
71.7.e.a 71.e 71.e $140$ $16.334$ None None 71.7.e.a \(-18\) \(29\) \(-147\) \(-5\) $\mathrm{SU}(2)[C_{10}]$
71.7.f.a 71.f 71.f $210$ $16.334$ None None 71.7.f.a \(5\) \(-85\) \(-156\) \(-7\) $\mathrm{SU}(2)[C_{14}]$
71.7.h.a 71.h 71.h $840$ $16.334$ None None 71.7.h.a \(-10\) \(55\) \(126\) \(-23\) $\mathrm{SU}(2)[C_{70}]$
71.8.a.a 71.a 1.a $17$ $22.179$ \(\mathbb{Q}[x]/(x^{17} - \cdots)\) None None 71.8.a.a \(-16\) \(-68\) \(-430\) \(-1716\) $-$ $\mathrm{SU}(2)$ \(q+(-1+\beta _{1})q^{2}+(-4+\beta _{4})q^{3}+(54+\cdots)q^{4}+\cdots\)
71.8.a.b 71.a 1.a $24$ $22.179$ None None 71.8.a.b \(0\) \(40\) \(570\) \(2400\) $+$ $\mathrm{SU}(2)$
71.8.c.a 71.c 71.c $164$ $22.179$ None None 71.8.c.a \(-24\) \(23\) \(-145\) \(-689\) $\mathrm{SU}(2)[C_{5}]$
71.8.d.a 71.d 71.d $246$ $22.179$ None None 71.8.d.a \(9\) \(-70\) \(-154\) \(-691\) $\mathrm{SU}(2)[C_{7}]$
71.8.g.a 71.g 71.g $984$ $22.179$ None None 71.8.g.a \(-4\) \(40\) \(124\) \(661\) $\mathrm{SU}(2)[C_{35}]$
71.9.b.a 71.b 71.b $7$ $28.924$ 7.7.\(\cdots\).1 \(\Q(\sqrt{-71}) \) None 71.9.b.a \(0\) \(0\) \(0\) \(0\) $\mathrm{U}(1)[D_{2}]$ \(q+(-4\beta _{3}+\beta _{6})q^{2}+(2^{4}\beta _{2}-5\beta _{4})q^{3}+\cdots\)
71.9.b.b 71.b 71.b $40$ $28.924$ None None 71.9.b.b \(4\) \(68\) \(-296\) \(0\) $\mathrm{SU}(2)[C_{2}]$
71.9.e.a 71.e 71.e $188$ $28.924$ None None 71.9.e.a \(6\) \(-73\) \(291\) \(-5\) $\mathrm{SU}(2)[C_{10}]$
71.9.f.a 71.f 71.f $282$ $28.924$ None None 71.9.f.a \(-11\) \(170\) \(282\) \(-7\) $\mathrm{SU}(2)[C_{14}]$
71.9.h.a 71.h 71.h $1128$ $28.924$ None None 71.9.h.a \(-34\) \(-200\) \(-312\) \(-23\) $\mathrm{SU}(2)[C_{70}]$
71.10.a.a 71.a 1.a $23$ $36.568$ None None 71.10.a.a \(0\) \(-89\) \(-3297\) \(-16808\) $+$ $\mathrm{SU}(2)$
71.10.a.b 71.a 1.a $30$ $36.568$ None None 71.10.a.b \(32\) \(235\) \(1703\) \(12004\) $-$ $\mathrm{SU}(2)$
71.10.c.a 71.c 71.c $212$ $36.568$ None None 71.10.c.a \(48\) \(-151\) \(1589\) \(4799\) $\mathrm{SU}(2)[C_{5}]$
71.10.d.a 71.d 71.d $318$ $36.568$ None None 71.10.d.a \(-39\) \(365\) \(1580\) \(4797\) $\mathrm{SU}(2)[C_{7}]$
71.10.g.a 71.g 71.g $1272$ $36.568$ None None 71.10.g.a \(-76\) \(-395\) \(-1610\) \(-4827\) $\mathrm{SU}(2)[C_{35}]$
71.11.b.a 71.b 71.b $7$ $45.110$ 7.7.\(\cdots\).1 \(\Q(\sqrt{-71}) \) None 71.11.b.a \(0\) \(0\) \(0\) \(0\) $\mathrm{U}(1)[D_{2}]$ \(q+(5\beta _{3}+13\beta _{4})q^{2}+(-76\beta _{2}+65\beta _{5}+\cdots)q^{3}+\cdots\)
71.11.b.b 71.b 71.b $52$ $45.110$ None None 71.11.b.b \(20\) \(-64\) \(-3308\) \(0\) $\mathrm{SU}(2)[C_{2}]$
71.11.e.a 71.e 71.e $236$ $45.110$ None None 71.11.e.a \(30\) \(59\) \(3303\) \(-5\) $\mathrm{SU}(2)[C_{10}]$
Next   displayed columns for results