Elliptic curve search results

Results (16 matches)

 

Label	Cremona label	Class	Cremona class	Class size	Class degree	Conductor	Discriminant	Rank	Torsion	$\textrm{End}^0(E_{\overline\Q})$	CM	Sato-Tate	Semistable	Potentially good	Nonmax $\ell$	$\ell$-adic images	mod-$\ell$ images	Adelic level	Adelic index	Adelic genus	Regulator	$Ш_{\textrm{an}}$	Ш primes	Integral points	Modular degree	Faltings height	j-invariant	$abc$ quality	Szpiro ratio	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators
8619.a1	8619h1	8619.a	8619h	$1$	$1$	\( 3 \cdot 13^{2} \cdot 17 \)	\( - 3 \cdot 13^{10} \cdot 17^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$1$	$1$		$0$	$68016$	$1.394581$	$-692224/867$	$0.84130$	$4.44166$	$[0, -1, 1, -9520, -632838]$	\(y^2+y=x^3-x^2-9520x-632838\)	6.2.0.a.1	$[]$
8619.m1	8619f1	8619.m	8619f	$1$	$1$	\( 3 \cdot 13^{2} \cdot 17 \)	\( - 3 \cdot 13^{4} \cdot 17^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$1$	$1$		$0$	$5232$	$0.112106$	$-692224/867$	$0.84130$	$2.74334$	$[0, -1, 1, -56, -271]$	\(y^2+y=x^3-x^2-56x-271\)	6.2.0.a.1	$[]$
25857.a1	25857p1	25857.a	25857p	$1$	$1$	\( 3^{2} \cdot 13^{2} \cdot 17 \)	\( - 3^{7} \cdot 13^{4} \cdot 17^{2} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$0.104636916$	$1$		$30$	$41856$	$0.661412$	$-692224/867$	$0.84130$	$3.09547$	$[0, 0, 1, -507, 7816]$	\(y^2+y=x^3-507x+7816\)	6.2.0.a.1	$[(13, 58), (-13, 110)]$
25857.s1	25857m1	25857.s	25857m	$1$	$1$	\( 3^{2} \cdot 13^{2} \cdot 17 \)	\( - 3^{7} \cdot 13^{10} \cdot 17^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$1$	$4$	$2$	$0$	$544128$	$1.943888$	$-692224/867$	$0.84130$	$4.61016$	$[0, 0, 1, -85683, 17172301]$	\(y^2+y=x^3-85683x+17172301\)	6.2.0.a.1	$[]$
137904.bq1	137904a1	137904.bq	137904a	$1$	$1$	\( 2^{4} \cdot 3 \cdot 13^{2} \cdot 17 \)	\( - 2^{12} \cdot 3 \cdot 13^{10} \cdot 17^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$1$	$1$		$0$	$2720640$	$2.087727$	$-692224/867$	$0.84130$	$4.10390$	$[0, 1, 0, -152325, 40653939]$	\(y^2=x^3+x^2-152325x+40653939\)	6.2.0.a.1	$[]$
137904.dg1	137904x1	137904.dg	137904x	$1$	$1$	\( 2^{4} \cdot 3 \cdot 13^{2} \cdot 17 \)	\( - 2^{12} \cdot 3 \cdot 13^{4} \cdot 17^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$1$	$1$		$0$	$209280$	$0.805254$	$-692224/867$	$0.84130$	$2.80347$	$[0, 1, 0, -901, 18227]$	\(y^2=x^3+x^2-901x+18227\)	6.2.0.a.1	$[]$
146523.i1	146523e1	146523.i	146523e	$1$	$1$	\( 3 \cdot 13^{2} \cdot 17^{2} \)	\( - 3 \cdot 13^{10} \cdot 17^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$1$	$25$	$5$	$0$	$19588608$	$2.811188$	$-692224/867$	$0.84130$	$4.81283$	$[0, 1, 1, -2751376, -3125639942]$	\(y^2+y=x^3+x^2-2751376x-3125639942\)	6.2.0.a.1	$[]$
146523.bh1	146523be1	146523.bh	146523be	$1$	$1$	\( 3 \cdot 13^{2} \cdot 17^{2} \)	\( - 3 \cdot 13^{4} \cdot 17^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$1$	$1$		$0$	$1506816$	$1.528713$	$-692224/867$	$0.84130$	$3.51903$	$[0, 1, 1, -16280, -1427695]$	\(y^2+y=x^3+x^2-16280x-1427695\)	6.2.0.a.1	$[]$
215475.i1	215475d1	215475.i	215475d	$1$	$1$	\( 3 \cdot 5^{2} \cdot 13^{2} \cdot 17 \)	\( - 3 \cdot 5^{6} \cdot 13^{4} \cdot 17^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$1$	$1$		$0$	$418560$	$0.916825$	$-692224/867$	$0.84130$	$2.81061$	$[0, 1, 1, -1408, -36656]$	\(y^2+y=x^3+x^2-1408x-36656\)	6.2.0.a.1	$[]$
215475.ca1	215475bx1	215475.ca	215475bx	$1$	$1$	\( 3 \cdot 5^{2} \cdot 13^{2} \cdot 17 \)	\( - 3 \cdot 5^{6} \cdot 13^{10} \cdot 17^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$1$	$1$		$0$	$5441280$	$2.199299$	$-692224/867$	$0.84130$	$4.06378$	$[0, 1, 1, -238008, -79580731]$	\(y^2+y=x^3+x^2-238008x-79580731\)	6.2.0.a.1	$[]$
413712.i1	413712i1	413712.i	413712i	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 13^{2} \cdot 17 \)	\( - 2^{12} \cdot 3^{7} \cdot 13^{4} \cdot 17^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$2.678558267$	$1$		$2$	$1674240$	$1.354559$	$-692224/867$	$0.84130$	$3.07501$	$[0, 0, 0, -8112, -500240]$	\(y^2=x^3-8112x-500240\)	6.2.0.a.1	$[(273, 4199)]$
413712.ey1	413712ey1	413712.ey	413712ey	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 13^{2} \cdot 17 \)	\( - 2^{12} \cdot 3^{7} \cdot 13^{10} \cdot 17^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$35.34177451$	$1$		$0$	$21765120$	$2.637035$	$-692224/867$	$0.84130$	$4.26497$	$[0, 0, 0, -1370928, -1099027280]$	\(y^2=x^3-1370928x-1099027280\)	6.2.0.a.1	$[(6518606720162265/1861141, 352266836185119580891555/1861141)]$
422331.m1	422331m1	422331.m	422331m	$1$	$1$	\( 3 \cdot 7^{2} \cdot 13^{2} \cdot 17 \)	\( - 3 \cdot 7^{6} \cdot 13^{10} \cdot 17^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$18.34938963$	$1$		$0$	$22445280$	$2.367535$	$-692224/867$	$0.84130$	$4.00852$	$[0, 1, 1, -466496, 217996328]$	\(y^2+y=x^3+x^2-466496x+217996328\)	6.2.0.a.1	$[(345983437/378, 6226825651129/378)]$
422331.ca1	422331ca1	422331.ca	422331ca	$1$	$1$	\( 3 \cdot 7^{2} \cdot 13^{2} \cdot 17 \)	\( - 3 \cdot 7^{6} \cdot 13^{4} \cdot 17^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$11.59448390$	$1$		$0$	$1726560$	$1.085062$	$-692224/867$	$0.84130$	$2.82045$	$[0, 1, 1, -2760, 98375]$	\(y^2+y=x^3+x^2-2760x+98375\)	6.2.0.a.1	$[(-35123/78, 160095079/78)]$
439569.h1	439569h1	439569.h	439569h	$1$	$1$	\( 3^{2} \cdot 13^{2} \cdot 17^{2} \)	\( - 3^{7} \cdot 13^{4} \cdot 17^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$1$	$1$		$0$	$12054528$	$2.078018$	$-692224/867$	$0.84130$	$3.72880$	$[0, 0, 1, -146523, 38401236]$	\(y^2+y=x^3-146523x+38401236\)	6.2.0.a.1	$[]$
439569.ci1	439569ci1	439569.ci	439569ci	$1$	$1$	\( 3^{2} \cdot 13^{2} \cdot 17^{2} \)	\( - 3^{7} \cdot 13^{10} \cdot 17^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$1$	$9$	$3$	$0$	$156708864$	$3.360493$	$-692224/867$	$0.84130$	$4.91321$	$[0, 0, 1, -24762387, 84367516041]$	\(y^2+y=x^3-24762387x+84367516041\)	6.2.0.a.1	$[]$