Elliptic curve search results

Results (20 matches)

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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	Manin constant
9100.a1	9100h1	9100.a	9100h	$1$	$1$	\( 2^{2} \cdot 5^{2} \cdot 7 \cdot 13 \)	\( 2^{8} \cdot 5^{2} \cdot 7^{4} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$26$	$2$	$0$	$0.136560985$	$1$		$8$	$6912$	$0.288498$	$70778880/31213$	$0.97825$	$2.94417$	$[0, 0, 0, -160, -380]$	\(y^2=x^3-160x-380\)	26.2.0.a.1	$[(-4, 14)]$	$1$
9100.n1	9100j1	9100.n	9100j	$1$	$1$	\( 2^{2} \cdot 5^{2} \cdot 7 \cdot 13 \)	\( 2^{8} \cdot 5^{8} \cdot 7^{4} \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$26$	$2$	$0$	$1$	$1$		$0$	$34560$	$1.093218$	$70778880/31213$	$0.97825$	$4.00347$	$[0, 0, 0, -4000, -47500]$	\(y^2=x^3-4000x-47500\)	26.2.0.a.1	$[ ]$	$1$
36400.c1	36400cx1	36400.c	36400cx	$1$	$1$	\( 2^{4} \cdot 5^{2} \cdot 7 \cdot 13 \)	\( 2^{8} \cdot 5^{8} \cdot 7^{4} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$26$	$2$	$0$	$0.221530735$	$1$		$6$	$138240$	$1.093218$	$70778880/31213$	$0.97825$	$3.47502$	$[0, 0, 0, -4000, 47500]$	\(y^2=x^3-4000x+47500\)	26.2.0.a.1	$[(-50, 350)]$	$1$
36400.cw1	36400bh1	36400.cw	36400bh	$1$	$1$	\( 2^{4} \cdot 5^{2} \cdot 7 \cdot 13 \)	\( 2^{8} \cdot 5^{2} \cdot 7^{4} \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$26$	$2$	$0$	$1$	$1$		$0$	$27648$	$0.288498$	$70778880/31213$	$0.97825$	$2.55554$	$[0, 0, 0, -160, 380]$	\(y^2=x^3-160x+380\)	26.2.0.a.1	$[ ]$	$1$
63700.a1	63700bp1	63700.a	63700bp	$1$	$1$	\( 2^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	\( 2^{8} \cdot 5^{8} \cdot 7^{10} \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$26$	$2$	$0$	$1$	$1$		$0$	$1658880$	$2.066174$	$70778880/31213$	$0.97825$	$4.35468$	$[0, 0, 0, -196000, 16292500]$	\(y^2=x^3-196000x+16292500\)	26.2.0.a.1	$[ ]$	$1$
63700.bs1	63700bd1	63700.bs	63700bd	$1$	$1$	\( 2^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	\( 2^{8} \cdot 5^{2} \cdot 7^{10} \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$26$	$2$	$0$	$1$	$1$		$0$	$331776$	$1.261454$	$70778880/31213$	$0.97825$	$3.48172$	$[0, 0, 0, -7840, 130340]$	\(y^2=x^3-7840x+130340\)	26.2.0.a.1	$[ ]$	$1$
81900.x1	81900bj1	81900.x	81900bj	$1$	$1$	\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \)	\( 2^{8} \cdot 3^{6} \cdot 5^{8} \cdot 7^{4} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$26$	$2$	$0$	$2.772082522$	$1$		$2$	$483840$	$1.642523$	$70778880/31213$	$0.97825$	$3.80858$	$[0, 0, 0, -36000, 1282500]$	\(y^2=x^3-36000x+1282500\)	26.2.0.a.1	$[(-164, 1666)]$	$1$
81900.br1	81900z1	81900.br	81900z	$1$	$1$	\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \)	\( 2^{8} \cdot 3^{6} \cdot 5^{2} \cdot 7^{4} \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$26$	$2$	$0$	$1$	$1$		$0$	$96768$	$0.837805$	$70778880/31213$	$0.97825$	$2.95501$	$[0, 0, 0, -1440, 10260]$	\(y^2=x^3-1440x+10260\)	26.2.0.a.1	$[ ]$	$1$
118300.c1	118300l1	118300.c	118300l	$1$	$1$	\( 2^{2} \cdot 5^{2} \cdot 7 \cdot 13^{2} \)	\( 2^{8} \cdot 5^{2} \cdot 7^{4} \cdot 13^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$26$	$2$	$0$	$1$	$1$		$0$	$1161216$	$1.570972$	$70778880/31213$	$0.97825$	$3.61518$	$[0, 0, 0, -27040, -834860]$	\(y^2=x^3-27040x-834860\)	26.2.0.a.1	$[ ]$	$1$
118300.bp1	118300bn1	118300.bp	118300bn	$1$	$1$	\( 2^{2} \cdot 5^{2} \cdot 7 \cdot 13^{2} \)	\( 2^{8} \cdot 5^{8} \cdot 7^{4} \cdot 13^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$26$	$2$	$0$	$1$	$1$		$0$	$5806080$	$2.375690$	$70778880/31213$	$0.97825$	$4.44187$	$[0, 0, 0, -676000, -104357500]$	\(y^2=x^3-676000x-104357500\)	26.2.0.a.1	$[ ]$	$1$
145600.a1	145600d1	145600.a	145600d	$1$	$1$	\( 2^{6} \cdot 5^{2} \cdot 7 \cdot 13 \)	\( 2^{14} \cdot 5^{2} \cdot 7^{4} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$26$	$2$	$0$	$1.314928246$	$1$		$2$	$221184$	$0.635072$	$70778880/31213$	$0.97825$	$2.60737$	$[0, 0, 0, -640, 3040]$	\(y^2=x^3-640x+3040\)	26.2.0.a.1	$[(1, 49)]$	$1$
145600.g1	145600dw1	145600.g	145600dw	$1$	$1$	\( 2^{6} \cdot 5^{2} \cdot 7 \cdot 13 \)	\( 2^{14} \cdot 5^{8} \cdot 7^{4} \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$26$	$2$	$0$	$1$	$1$		$0$	$1105920$	$1.439791$	$70778880/31213$	$0.97825$	$3.41963$	$[0, 0, 0, -16000, -380000]$	\(y^2=x^3-16000x-380000\)	26.2.0.a.1	$[ ]$	$1$
145600.hz1	145600do1	145600.hz	145600do	$1$	$1$	\( 2^{6} \cdot 5^{2} \cdot 7 \cdot 13 \)	\( 2^{14} \cdot 5^{8} \cdot 7^{4} \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$26$	$2$	$0$	$1$	$1$		$0$	$1105920$	$1.439791$	$70778880/31213$	$0.97825$	$3.41963$	$[0, 0, 0, -16000, 380000]$	\(y^2=x^3-16000x+380000\)	26.2.0.a.1	$[ ]$	$1$
145600.if1	145600id1	145600.if	145600id	$1$	$1$	\( 2^{6} \cdot 5^{2} \cdot 7 \cdot 13 \)	\( 2^{14} \cdot 5^{2} \cdot 7^{4} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$26$	$2$	$0$	$4.111092009$	$1$		$0$	$221184$	$0.635072$	$70778880/31213$	$0.97825$	$2.60737$	$[0, 0, 0, -640, -3040]$	\(y^2=x^3-640x-3040\)	26.2.0.a.1	$[(-191/3, 847/3)]$	$1$
254800.j1	254800j1	254800.j	254800j	$1$	$1$	\( 2^{4} \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	\( 2^{8} \cdot 5^{2} \cdot 7^{10} \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$26$	$2$	$0$	$1$	$1$		$0$	$1327104$	$1.261454$	$70778880/31213$	$0.97825$	$3.09398$	$[0, 0, 0, -7840, -130340]$	\(y^2=x^3-7840x-130340\)	26.2.0.a.1	$[ ]$	$1$
254800.hs1	254800hs1	254800.hs	254800hs	$1$	$1$	\( 2^{4} \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	\( 2^{8} \cdot 5^{8} \cdot 7^{10} \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$26$	$2$	$0$	$1$	$9$	$3$	$0$	$6635520$	$2.066174$	$70778880/31213$	$0.97825$	$3.86972$	$[0, 0, 0, -196000, -16292500]$	\(y^2=x^3-196000x-16292500\)	26.2.0.a.1	$[ ]$	$1$
327600.c1	327600c1	327600.c	327600c	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \)	\( 2^{8} \cdot 3^{6} \cdot 5^{2} \cdot 7^{4} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$26$	$2$	$0$	$1.096474094$	$1$		$4$	$387072$	$0.837805$	$70778880/31213$	$0.97825$	$2.63244$	$[0, 0, 0, -1440, -10260]$	\(y^2=x^3-1440x-10260\)	26.2.0.a.1	$[(-26, 98)]$	$1$
327600.hc1	327600hc1	327600.hc	327600hc	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \)	\( 2^{8} \cdot 3^{6} \cdot 5^{8} \cdot 7^{4} \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$26$	$2$	$0$	$1$	$1$		$0$	$1935360$	$1.642523$	$70778880/31213$	$0.97825$	$3.39283$	$[0, 0, 0, -36000, -1282500]$	\(y^2=x^3-36000x-1282500\)	26.2.0.a.1	$[ ]$	$1$
473200.a1	473200a1	473200.a	473200a	$1$	$1$	\( 2^{4} \cdot 5^{2} \cdot 7 \cdot 13^{2} \)	\( 2^{8} \cdot 5^{8} \cdot 7^{4} \cdot 13^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$26$	$2$	$0$	$1.078721069$	$1$		$4$	$23224320$	$2.375690$	$70778880/31213$	$0.97825$	$3.97064$	$[0, 0, 0, -676000, 104357500]$	\(y^2=x^3-676000x+104357500\)	26.2.0.a.1	$[(-286, 16562)]$	$1$
473200.hy1	473200hy1	473200.hy	473200hy	$1$	$1$	\( 2^{4} \cdot 5^{2} \cdot 7 \cdot 13^{2} \)	\( 2^{8} \cdot 5^{2} \cdot 7^{4} \cdot 13^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$26$	$2$	$0$	$2.522762624$	$1$		$0$	$4644864$	$1.570972$	$70778880/31213$	$0.97825$	$3.23165$	$[0, 0, 0, -27040, 834860]$	\(y^2=x^3-27040x+834860\)	26.2.0.a.1	$[(286/3, 2366/3)]$	$1$

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