Elliptic curve search results

Results (32 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	Intrinsic torsion order	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators	Manin constant
10368.i1	10368x1	10368.i	10368x	$1$	$1$	\( 2^{7} \cdot 3^{4} \)	\( - 2^{14} \cdot 3^{12} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$2$	4.4.0.3		$4$	$4$	$0$	$1$	$1$		$0$	$6912$	$0.622141$	$-3456$	$0.61315$	$3.40029$	$1$	$[0, 0, 0, -648, -7776]$	\(y^2=x^3-648x-7776\)	4.4.0-4.a.1.1	$[ ]$	$1$
10368.j1	10368w1	10368.j	10368w	$1$	$1$	\( 2^{7} \cdot 3^{4} \)	\( - 2^{8} \cdot 3^{6} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$2$	4.2.0.1		$24$	$4$	$0$	$0.297230264$	$1$		$14$	$1152$	$-0.273739$	$-3456$	$0.61315$	$2.23763$	$1$	$[0, 0, 0, -18, 36]$	\(y^2=x^3-18x+36\)	4.2.0.a.1, 24.4.0-4.a.1.1	$[(0, 6), (3, 3)]$	$1$
10368.o1	10368v1	10368.o	10368v	$1$	$1$	\( 2^{7} \cdot 3^{4} \)	\( - 2^{14} \cdot 3^{12} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$2$	4.4.0.3		$4$	$4$	$0$	$1$	$1$		$0$	$6912$	$0.622141$	$-3456$	$0.61315$	$3.40029$	$1$	$[0, 0, 0, -648, 7776]$	\(y^2=x^3-648x+7776\)	4.4.0-4.a.1.1	$[ ]$	$1$
10368.p1	10368h1	10368.p	10368h	$1$	$1$	\( 2^{7} \cdot 3^{4} \)	\( - 2^{8} \cdot 3^{6} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$2$	4.2.0.1		$24$	$4$	$0$	$2.183582960$	$1$		$2$	$1152$	$-0.273739$	$-3456$	$0.61315$	$2.23763$	$1$	$[0, 0, 0, -18, -36]$	\(y^2=x^3-18x-36\)	4.2.0.a.1, 24.4.0-4.a.1.1	$[(10, 28)]$	$1$
10368.q1	10368f1	10368.q	10368f	$1$	$1$	\( 2^{7} \cdot 3^{4} \)	\( - 2^{14} \cdot 3^{6} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$2$	4.2.0.1		$12$	$4$	$0$	$0.985838998$	$1$		$2$	$2304$	$0.072835$	$-3456$	$0.61315$	$2.68741$	$1$	$[0, 0, 0, -72, 288]$	\(y^2=x^3-72x+288\)	4.2.0.a.1, 12.4.0-4.a.1.1	$[(4, 8)]$	$1$
10368.r1	10368e1	10368.r	10368e	$1$	$1$	\( 2^{7} \cdot 3^{4} \)	\( - 2^{8} \cdot 3^{12} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$2$	8.4.0.2		$8$	$4$	$0$	$3.284221516$	$1$		$2$	$3456$	$0.275567$	$-3456$	$0.61315$	$2.95051$	$1$	$[0, 0, 0, -162, -972]$	\(y^2=x^3-162x-972\)	4.2.0.a.1, 8.4.0-4.a.1.1	$[(19, 53)]$	$1$
10368.w1	10368d1	10368.w	10368d	$1$	$1$	\( 2^{7} \cdot 3^{4} \)	\( - 2^{14} \cdot 3^{6} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$2$	4.2.0.1		$12$	$4$	$0$	$1.068550712$	$1$		$2$	$2304$	$0.072835$	$-3456$	$0.61315$	$2.68741$	$1$	$[0, 0, 0, -72, -288]$	\(y^2=x^3-72x-288\)	4.2.0.a.1, 12.4.0-4.a.1.1	$[(12, 24)]$	$1$
10368.x1	10368r1	10368.x	10368r	$1$	$1$	\( 2^{7} \cdot 3^{4} \)	\( - 2^{8} \cdot 3^{12} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$2$	8.4.0.2		$8$	$4$	$0$	$1$	$1$		$0$	$3456$	$0.275567$	$-3456$	$0.61315$	$2.95051$	$1$	$[0, 0, 0, -162, 972]$	\(y^2=x^3-162x+972\)	4.2.0.a.1, 8.4.0-4.a.1.1	$[ ]$	$1$
259200.i1	259200i1	259200.i	259200i	$1$	$1$	\( 2^{7} \cdot 3^{4} \cdot 5^{2} \)	\( - 2^{8} \cdot 3^{12} \cdot 5^{6} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$2$	4.2.0.1		$40$	$4$	$0$	$3.682642406$	$1$		$2$	$483840$	$1.080286$	$-3456$	$0.61315$	$2.96329$	$1$	$[0, 0, 0, -4050, 121500]$	\(y^2=x^3-4050x+121500\)	4.2.0.a.1, 40.4.0-4.a.1.1	$[(34, 152)]$	$1$
259200.j1	259200j1	259200.j	259200j	$1$	$1$	\( 2^{7} \cdot 3^{4} \cdot 5^{2} \)	\( - 2^{14} \cdot 3^{6} \cdot 5^{6} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$2$	4.2.0.1		$60$	$4$	$0$	$1$	$1$		$0$	$322560$	$0.877554$	$-3456$	$0.61315$	$2.76813$	$1$	$[0, 0, 0, -1800, -36000]$	\(y^2=x^3-1800x-36000\)	4.2.0.a.1, 60.4.0-4.a.1.1	$[ ]$	$1$
259200.k1	259200k1	259200.k	259200k	$1$	$1$	\( 2^{7} \cdot 3^{4} \cdot 5^{2} \)	\( - 2^{8} \cdot 3^{6} \cdot 5^{6} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$2$	4.2.0.1		$120$	$4$	$0$	$1$	$1$		$0$	$161280$	$0.530980$	$-3456$	$0.61315$	$2.43449$	$1$	$[0, 0, 0, -450, -4500]$	\(y^2=x^3-450x-4500\)	4.2.0.a.1, 120.4.0.?	$[ ]$	$1$
259200.l1	259200l1	259200.l	259200l	$1$	$1$	\( 2^{7} \cdot 3^{4} \cdot 5^{2} \)	\( - 2^{14} \cdot 3^{12} \cdot 5^{6} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$2$	4.2.0.1		$20$	$4$	$0$	$3.688379275$	$1$		$2$	$967680$	$1.426859$	$-3456$	$0.61315$	$3.29693$	$1$	$[0, 0, 0, -16200, 972000]$	\(y^2=x^3-16200x+972000\)	4.2.0.a.1, 20.4.0-4.a.1.1	$[(76, 424)]$	$1$
259200.gi1	259200gi1	259200.gi	259200gi	$1$	$1$	\( 2^{7} \cdot 3^{4} \cdot 5^{2} \)	\( - 2^{8} \cdot 3^{6} \cdot 5^{6} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$2$	4.2.0.1		$120$	$4$	$0$	$3.141048497$	$1$		$2$	$161280$	$0.530980$	$-3456$	$0.61315$	$2.43449$	$1$	$[0, 0, 0, -450, 4500]$	\(y^2=x^3-450x+4500\)	4.2.0.a.1, 120.4.0.?	$[(19, 53)]$	$1$
259200.gj1	259200gj1	259200.gj	259200gj	$1$	$1$	\( 2^{7} \cdot 3^{4} \cdot 5^{2} \)	\( - 2^{14} \cdot 3^{12} \cdot 5^{6} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$2$	4.2.0.1		$20$	$4$	$0$	$22.24015529$	$1$		$0$	$967680$	$1.426859$	$-3456$	$0.61315$	$3.29693$	$1$	$[0, 0, 0, -16200, -972000]$	\(y^2=x^3-16200x-972000\)	4.2.0.a.1, 20.4.0-4.a.1.1	$[(9333221476/6805, 626298215118776/6805)]$	$1$
259200.gk1	259200gk1	259200.gk	259200gk	$1$	$1$	\( 2^{7} \cdot 3^{4} \cdot 5^{2} \)	\( - 2^{8} \cdot 3^{12} \cdot 5^{6} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$2$	4.2.0.1		$40$	$4$	$0$	$1$	$4$	$2$	$0$	$483840$	$1.080286$	$-3456$	$0.61315$	$2.96329$	$1$	$[0, 0, 0, -4050, -121500]$	\(y^2=x^3-4050x-121500\)	4.2.0.a.1, 40.4.0-4.a.1.1	$[ ]$	$1$
259200.gl1	259200gl1	259200.gl	259200gl	$1$	$1$	\( 2^{7} \cdot 3^{4} \cdot 5^{2} \)	\( - 2^{14} \cdot 3^{6} \cdot 5^{6} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$2$	4.2.0.1		$60$	$4$	$0$	$1$	$1$		$0$	$322560$	$0.877554$	$-3456$	$0.61315$	$2.76813$	$1$	$[0, 0, 0, -1800, 36000]$	\(y^2=x^3-1800x+36000\)	4.2.0.a.1, 60.4.0-4.a.1.1	$[ ]$	$1$
508032.bl1	-	508032.bl	-	$1$	$1$	\( 2^{7} \cdot 3^{4} \cdot 7^{2} \)	\( - 2^{8} \cdot 3^{12} \cdot 7^{6} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$2$	4.2.0.1		$56$	$4$	$0$	$3.799036465$	$1$		$2$	$995328$	$1.248522$	$-3456$	$0.61315$	$2.96517$	$1$	$[0, 0, 0, -7938, -333396]$	\(y^2=x^3-7938x-333396\)	4.2.0.a.1, 56.4.0-4.a.1.1	$[(259, 3871)]$
508032.bm1	-	508032.bm	-	$1$	$1$	\( 2^{7} \cdot 3^{4} \cdot 7^{2} \)	\( - 2^{14} \cdot 3^{6} \cdot 7^{6} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$2$	4.2.0.1		$84$	$4$	$0$	$1$	$1$		$0$	$663552$	$1.045790$	$-3456$	$0.61315$	$2.78000$	$1$	$[0, 0, 0, -3528, 98784]$	\(y^2=x^3-3528x+98784\)	4.2.0.a.1, 84.4.0.?	$[ ]$
508032.bp1	-	508032.bp	-	$1$	$1$	\( 2^{7} \cdot 3^{4} \cdot 7^{2} \)	\( - 2^{8} \cdot 3^{12} \cdot 7^{6} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$2$	4.2.0.1		$56$	$4$	$0$	$1$	$1$		$0$	$995328$	$1.248522$	$-3456$	$0.61315$	$2.96517$	$1$	$[0, 0, 0, -7938, 333396]$	\(y^2=x^3-7938x+333396\)	4.2.0.a.1, 56.4.0-4.a.1.1	$[ ]$
508032.bq1	-	508032.bq	-	$1$	$1$	\( 2^{7} \cdot 3^{4} \cdot 7^{2} \)	\( - 2^{14} \cdot 3^{6} \cdot 7^{6} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$2$	4.2.0.1		$84$	$4$	$0$	$1$	$1$		$0$	$663552$	$1.045790$	$-3456$	$0.61315$	$2.78000$	$1$	$[0, 0, 0, -3528, -98784]$	\(y^2=x^3-3528x-98784\)	4.2.0.a.1, 84.4.0.?	$[ ]$
508032.cj1	-	508032.cj	-	$1$	$1$	\( 2^{7} \cdot 3^{4} \cdot 7^{2} \)	\( - 2^{8} \cdot 3^{6} \cdot 7^{6} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$2$	4.2.0.1		$168$	$4$	$0$	$6.113735457$	$1$		$0$	$331776$	$0.699216$	$-3456$	$0.61315$	$2.46346$	$1$	$[0, 0, 0, -882, -12348]$	\(y^2=x^3-882x-12348\)	4.2.0.a.1, 168.4.0.?	$[(478/3, 8128/3)]$
508032.ck1	-	508032.ck	-	$1$	$1$	\( 2^{7} \cdot 3^{4} \cdot 7^{2} \)	\( - 2^{14} \cdot 3^{12} \cdot 7^{6} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$2$	4.2.0.1		$28$	$4$	$0$	$3.008631387$	$1$		$2$	$1990656$	$1.595097$	$-3456$	$0.61315$	$3.28172$	$1$	$[0, 0, 0, -31752, 2667168]$	\(y^2=x^3-31752x+2667168\)	4.2.0.a.1, 28.4.0-4.a.1.1	$[(364, 6272)]$
508032.cn1	-	508032.cn	-	$1$	$1$	\( 2^{7} \cdot 3^{4} \cdot 7^{2} \)	\( - 2^{8} \cdot 3^{6} \cdot 7^{6} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$2$	4.2.0.1		$168$	$4$	$0$	$1.391817292$	$1$		$8$	$331776$	$0.699216$	$-3456$	$0.61315$	$2.46346$	$1$	$[0, 0, 0, -882, 12348]$	\(y^2=x^3-882x+12348\)	4.2.0.a.1, 168.4.0.?	$[(-21, 147), (28, 98)]$
508032.co1	-	508032.co	-	$1$	$1$	\( 2^{7} \cdot 3^{4} \cdot 7^{2} \)	\( - 2^{14} \cdot 3^{12} \cdot 7^{6} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$2$	4.2.0.1		$28$	$4$	$0$	$13.43979573$	$1$		$0$	$1990656$	$1.595097$	$-3456$	$0.61315$	$3.28172$	$1$	$[0, 0, 0, -31752, -2667168]$	\(y^2=x^3-31752x-2667168\)	4.2.0.a.1, 28.4.0-4.a.1.1	$[(13585012/11, 50071372064/11)]$
12700800.hw1	-	12700800.hw	-	$1$	$1$	\( 2^{7} \cdot 3^{4} \cdot 5^{2} \cdot 7^{2} \)	\( - 2^{14} \cdot 3^{6} \cdot 5^{6} \cdot 7^{6} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$2$	4.2.0.1		$420$	$4$	$0$	$1.949730540$	$1$		$2$	$92897280$	$1.850508$	$-3456$	$0.61315$	$2.82330$	$1$	$[0, 0, 0, -88200, 12348000]$	\(y^2=x^3-88200x+12348000\)	4.2.0.a.1, 420.4.0.?	$[(84, 2352)]$
12700800.hx1	-	12700800.hx	-	$1$	$1$	\( 2^{7} \cdot 3^{4} \cdot 5^{2} \cdot 7^{2} \)	\( - 2^{14} \cdot 3^{12} \cdot 5^{6} \cdot 7^{6} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$2$	4.2.0.1		$140$	$4$	$0$	$1$	$1$		$0$	$278691840$	$2.399815$	$-3456$	$0.61315$	$3.22628$	$1$	$[0, 0, 0, -793800, 333396000]$	\(y^2=x^3-793800x+333396000\)	4.2.0.a.1, 140.4.0.?	$[ ]$
12700800.ic1	-	12700800.ic	-	$1$	$1$	\( 2^{7} \cdot 3^{4} \cdot 5^{2} \cdot 7^{2} \)	\( - 2^{8} \cdot 3^{6} \cdot 5^{6} \cdot 7^{6} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$2$	4.2.0.1		$840$	$4$	$0$	$1$	$1$		$0$	$46448640$	$1.503935$	$-3456$	$0.61315$	$2.56904$	$1$	$[0, 0, 0, -22050, -1543500]$	\(y^2=x^3-22050x-1543500\)	4.2.0.a.1, 840.4.0.?	$[ ]$
12700800.id1	-	12700800.id	-	$1$	$1$	\( 2^{7} \cdot 3^{4} \cdot 5^{2} \cdot 7^{2} \)	\( - 2^{8} \cdot 3^{12} \cdot 5^{6} \cdot 7^{6} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$2$	4.2.0.1		$280$	$4$	$0$	$1$	$4$	$2$	$0$	$139345920$	$2.053242$	$-3456$	$0.61315$	$2.97203$	$1$	$[0, 0, 0, -198450, -41674500]$	\(y^2=x^3-198450x-41674500\)	4.2.0.a.1, 280.4.0.?	$[ ]$
12700800.po1	-	12700800.po	-	$1$	$1$	\( 2^{7} \cdot 3^{4} \cdot 5^{2} \cdot 7^{2} \)	\( - 2^{14} \cdot 3^{6} \cdot 5^{6} \cdot 7^{6} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$2$	4.2.0.1		$420$	$4$	$0$	$20.77289467$	$1$		$0$	$92897280$	$1.850508$	$-3456$	$0.61315$	$2.82330$	$1$	$[0, 0, 0, -88200, -12348000]$	\(y^2=x^3-88200x-12348000\)	4.2.0.a.1, 420.4.0.?	$[(20608587244/1055, 2958121700824528/1055)]$
12700800.pp1	-	12700800.pp	-	$1$	$1$	\( 2^{7} \cdot 3^{4} \cdot 5^{2} \cdot 7^{2} \)	\( - 2^{14} \cdot 3^{12} \cdot 5^{6} \cdot 7^{6} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$2$	4.2.0.1		$140$	$4$	$0$	$1$	$1$		$0$	$278691840$	$2.399815$	$-3456$	$0.61315$	$3.22628$	$1$	$[0, 0, 0, -793800, -333396000]$	\(y^2=x^3-793800x-333396000\)	4.2.0.a.1, 140.4.0.?	$[ ]$
12700800.pu1	-	12700800.pu	-	$1$	$1$	\( 2^{7} \cdot 3^{4} \cdot 5^{2} \cdot 7^{2} \)	\( - 2^{8} \cdot 3^{6} \cdot 5^{6} \cdot 7^{6} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$2$	4.2.0.1		$840$	$4$	$0$	$2.940727474$	$1$		$2$	$46448640$	$1.503935$	$-3456$	$0.61315$	$2.56904$	$1$	$[0, 0, 0, -22050, 1543500]$	\(y^2=x^3-22050x+1543500\)	4.2.0.a.1, 840.4.0.?	$[(91, 539)]$
12700800.pv1	-	12700800.pv	-	$1$	$1$	\( 2^{7} \cdot 3^{4} \cdot 5^{2} \cdot 7^{2} \)	\( - 2^{8} \cdot 3^{12} \cdot 5^{6} \cdot 7^{6} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$2$	4.2.0.1		$280$	$4$	$0$	$16.13006819$	$1$		$0$	$139345920$	$2.053242$	$-3456$	$0.61315$	$2.97203$	$1$	$[0, 0, 0, -198450, 41674500]$	\(y^2=x^3-198450x+41674500\)	4.2.0.a.1, 280.4.0.?	$[(10836886/185, 20598273116/185)]$

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