Elliptic curve search results

Results (27 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
1480.b2	1480c2	1480.b	1480c	$2$	$2$	\( 2^{3} \cdot 5 \cdot 37 \)	\( - 2^{10} \cdot 5^{2} \cdot 37^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.12	2B	$1480$	$48$	$0$	$0.618564771$	$1$		$7$	$384$	$0.132220$	$-7086244/34225$	$0.93799$	$3.41654$	$1$	$[0, 1, 0, -40, 288]$	\(y^2=x^3+x^2-40x+288\)	2.3.0.a.1, 4.12.0-4.a.1.1, 740.24.0.?, 1480.48.0.?	$[(-4, 20)]$	$1$
2960.l2	2960c2	2960.l	2960c	$2$	$2$	\( 2^{4} \cdot 5 \cdot 37 \)	\( - 2^{10} \cdot 5^{2} \cdot 37^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.12	2B	$1480$	$48$	$0$	$2.568918293$	$1$		$3$	$768$	$0.132220$	$-7086244/34225$	$0.93799$	$3.12026$	$1$	$[0, -1, 0, -40, -288]$	\(y^2=x^3-x^2-40x-288\)	2.3.0.a.1, 4.12.0-4.a.1.1, 740.24.0.?, 1480.48.0.?	$[(54, 390)]$	$1$
7400.i2	7400f2	7400.i	7400f	$2$	$2$	\( 2^{3} \cdot 5^{2} \cdot 37 \)	\( - 2^{10} \cdot 5^{8} \cdot 37^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.5	2B	$1480$	$48$	$0$	$1$	$1$		$1$	$9216$	$0.936939$	$-7086244/34225$	$0.93799$	$3.88324$	$1$	$[0, -1, 0, -1008, 38012]$	\(y^2=x^3-x^2-1008x+38012\)	2.3.0.a.1, 4.6.0.a.1, 20.12.0-4.a.1.1, 148.12.0.?, 740.24.0.?, $\ldots$	$[ ]$	$1$
11840.d2	11840ba2	11840.d	11840ba	$2$	$2$	\( 2^{6} \cdot 5 \cdot 37 \)	\( - 2^{16} \cdot 5^{2} \cdot 37^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.37	2B	$1480$	$48$	$0$	$1$	$1$		$1$	$6144$	$0.478794$	$-7086244/34225$	$0.93799$	$3.10249$	$1$	$[0, 1, 0, -161, -2465]$	\(y^2=x^3+x^2-161x-2465\)	2.3.0.a.1, 4.6.0.a.1, 8.12.0-4.a.1.1, 740.12.0.?, 1480.48.0.?	$[ ]$	$1$
11840.bi2	11840d2	11840.bi	11840d	$2$	$2$	\( 2^{6} \cdot 5 \cdot 37 \)	\( - 2^{16} \cdot 5^{2} \cdot 37^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.37	2B	$1480$	$48$	$0$	$1.307047123$	$1$		$3$	$6144$	$0.478794$	$-7086244/34225$	$0.93799$	$3.10249$	$1$	$[0, -1, 0, -161, 2465]$	\(y^2=x^3-x^2-161x+2465\)	2.3.0.a.1, 4.6.0.a.1, 8.12.0-4.a.1.1, 740.12.0.?, 1480.48.0.?	$[(1, 48)]$	$1$
13320.f2	13320n2	13320.f	13320n	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 37 \)	\( - 2^{10} \cdot 3^{6} \cdot 5^{2} \cdot 37^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.5	2B	$4440$	$48$	$0$	$1$	$1$		$1$	$9216$	$0.681526$	$-7086244/34225$	$0.93799$	$3.32017$	$1$	$[0, 0, 0, -363, -8138]$	\(y^2=x^3-363x-8138\)	2.3.0.a.1, 4.6.0.a.1, 12.12.0-4.a.1.1, 740.12.0.?, 1480.24.0.?, $\ldots$	$[ ]$	$1$
14800.j2	14800d2	14800.j	14800d	$2$	$2$	\( 2^{4} \cdot 5^{2} \cdot 37 \)	\( - 2^{10} \cdot 5^{8} \cdot 37^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.5	2B	$1480$	$48$	$0$	$2.419511702$	$1$		$3$	$18432$	$0.936939$	$-7086244/34225$	$0.93799$	$3.60293$	$1$	$[0, 1, 0, -1008, -38012]$	\(y^2=x^3+x^2-1008x-38012\)	2.3.0.a.1, 4.6.0.a.1, 20.12.0-4.a.1.1, 148.12.0.?, 740.24.0.?, $\ldots$	$[(88, 750)]$	$1$
26640.h2	26640j2	26640.h	26640j	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 37 \)	\( - 2^{10} \cdot 3^{6} \cdot 5^{2} \cdot 37^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.5	2B	$4440$	$48$	$0$	$0.917807409$	$1$		$7$	$18432$	$0.681526$	$-7086244/34225$	$0.93799$	$3.09433$	$1$	$[0, 0, 0, -363, 8138]$	\(y^2=x^3-363x+8138\)	2.3.0.a.1, 4.6.0.a.1, 12.12.0-4.a.1.1, 740.12.0.?, 1480.24.0.?, $\ldots$	$[(19, 90)]$	$1$
54760.b2	54760e2	54760.b	54760e	$2$	$2$	\( 2^{3} \cdot 5 \cdot 37^{2} \)	\( - 2^{10} \cdot 5^{2} \cdot 37^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.5	2B	$1480$	$48$	$0$	$1$	$1$		$1$	$525312$	$1.937679$	$-7086244/34225$	$0.93799$	$4.27154$	$1$	$[0, 1, 0, -55216, 15248784]$	\(y^2=x^3+x^2-55216x+15248784\)	2.3.0.a.1, 4.6.0.a.1, 20.12.0-4.a.1.2, 148.12.0.?, 740.24.0.?, $\ldots$	$[ ]$	$1$
59200.n2	59200bg2	59200.n	59200bg	$2$	$2$	\( 2^{6} \cdot 5^{2} \cdot 37 \)	\( - 2^{16} \cdot 5^{8} \cdot 37^{2} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.5	2B	$1480$	$48$	$0$	$1.434931634$	$1$		$19$	$147456$	$1.283512$	$-7086244/34225$	$0.93799$	$3.52687$	$1$	$[0, 1, 0, -4033, 300063]$	\(y^2=x^3+x^2-4033x+300063\)	2.3.0.a.1, 4.6.0.a.1, 40.12.0-4.a.1.1, 296.12.0.?, 740.12.0.?, $\ldots$	$[(-13, 592), (13, 500)]$	$1$
59200.dl2	59200da2	59200.dl	59200da	$2$	$2$	\( 2^{6} \cdot 5^{2} \cdot 37 \)	\( - 2^{16} \cdot 5^{8} \cdot 37^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.5	2B	$1480$	$48$	$0$	$8.808983708$	$1$		$1$	$147456$	$1.283512$	$-7086244/34225$	$0.93799$	$3.52687$	$1$	$[0, -1, 0, -4033, -300063]$	\(y^2=x^3-x^2-4033x-300063\)	2.3.0.a.1, 4.6.0.a.1, 40.12.0-4.a.1.1, 296.12.0.?, 740.12.0.?, $\ldots$	$[(202857/4, 91361325/4)]$	$1$
66600.l2	66600o2	66600.l	66600o	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 37 \)	\( - 2^{10} \cdot 3^{6} \cdot 5^{8} \cdot 37^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.5	2B	$4440$	$48$	$0$	$1$	$1$		$1$	$221184$	$1.486246$	$-7086244/34225$	$0.93799$	$3.70851$	$1$	$[0, 0, 0, -9075, -1017250]$	\(y^2=x^3-9075x-1017250\)	2.3.0.a.1, 4.6.0.a.1, 60.12.0-4.a.1.1, 444.12.0.?, 740.12.0.?, $\ldots$	$[ ]$	$1$
72520.m2	72520g2	72520.m	72520g	$2$	$2$	\( 2^{3} \cdot 5 \cdot 7^{2} \cdot 37 \)	\( - 2^{10} \cdot 5^{2} \cdot 7^{6} \cdot 37^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.5	2B	$10360$	$48$	$0$	$7.105194663$	$1$		$1$	$138240$	$1.105175$	$-7086244/34225$	$0.93799$	$3.27169$	$1$	$[0, -1, 0, -1976, -102724]$	\(y^2=x^3-x^2-1976x-102724\)	2.3.0.a.1, 4.6.0.a.1, 28.12.0-4.a.1.1, 740.12.0.?, 1480.24.0.?, $\ldots$	$[(18298/9, 2409884/9)]$	$1$
106560.el2	106560ft2	106560.el	106560ft	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 37 \)	\( - 2^{16} \cdot 3^{6} \cdot 5^{2} \cdot 37^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.5	2B	$4440$	$48$	$0$	$1$	$1$		$1$	$147456$	$1.028099$	$-7086244/34225$	$0.93799$	$3.08303$	$1$	$[0, 0, 0, -1452, 65104]$	\(y^2=x^3-1452x+65104\)	2.3.0.a.1, 4.6.0.a.1, 24.12.0-4.a.1.1, 740.12.0.?, 1480.24.0.?, $\ldots$	$[ ]$	$1$
106560.fv2	106560cq2	106560.fv	106560cq	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 37 \)	\( - 2^{16} \cdot 3^{6} \cdot 5^{2} \cdot 37^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.5	2B	$4440$	$48$	$0$	$3.262229824$	$1$		$3$	$147456$	$1.028099$	$-7086244/34225$	$0.93799$	$3.08303$	$1$	$[0, 0, 0, -1452, -65104]$	\(y^2=x^3-1452x-65104\)	2.3.0.a.1, 4.6.0.a.1, 24.12.0-4.a.1.1, 740.12.0.?, 1480.24.0.?, $\ldots$	$[(302, 5200)]$	$1$
109520.w2	109520c2	109520.w	109520c	$2$	$2$	\( 2^{4} \cdot 5 \cdot 37^{2} \)	\( - 2^{10} \cdot 5^{2} \cdot 37^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.5	2B	$1480$	$48$	$0$	$16.90400424$	$1$		$1$	$1050624$	$1.937679$	$-7086244/34225$	$0.93799$	$4.01638$	$1$	$[0, -1, 0, -55216, -15248784]$	\(y^2=x^3-x^2-55216x-15248784\)	2.3.0.a.1, 4.6.0.a.1, 20.12.0-4.a.1.2, 148.12.0.?, 740.24.0.?, $\ldots$	$[(1614716398/231, 64881964805246/231)]$	$1$
133200.fk2	133200gc2	133200.fk	133200gc	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 37 \)	\( - 2^{10} \cdot 3^{6} \cdot 5^{8} \cdot 37^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.5	2B	$4440$	$48$	$0$	$1$	$1$		$1$	$442368$	$1.486246$	$-7086244/34225$	$0.93799$	$3.49066$	$1$	$[0, 0, 0, -9075, 1017250]$	\(y^2=x^3-9075x+1017250\)	2.3.0.a.1, 4.6.0.a.1, 60.12.0-4.a.1.1, 444.12.0.?, 740.12.0.?, $\ldots$	$[ ]$	$1$
145040.l2	145040bz2	145040.l	145040bz	$2$	$2$	\( 2^{4} \cdot 5 \cdot 7^{2} \cdot 37 \)	\( - 2^{10} \cdot 5^{2} \cdot 7^{6} \cdot 37^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.5	2B	$10360$	$48$	$0$	$1.901520390$	$1$		$5$	$276480$	$1.105175$	$-7086244/34225$	$0.93799$	$3.08088$	$1$	$[0, 1, 0, -1976, 102724]$	\(y^2=x^3+x^2-1976x+102724\)	2.3.0.a.1, 4.6.0.a.1, 28.12.0-4.a.1.1, 740.12.0.?, 1480.24.0.?, $\ldots$	$[(-24, 370)]$	$1$
179080.d2	179080b2	179080.d	179080b	$2$	$2$	\( 2^{3} \cdot 5 \cdot 11^{2} \cdot 37 \)	\( - 2^{10} \cdot 5^{2} \cdot 11^{6} \cdot 37^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.5	2B	$16280$	$48$	$0$	$4.177495876$	$1$		$3$	$552960$	$1.331167$	$-7086244/34225$	$0.93799$	$3.25139$	$1$	$[0, 1, 0, -4880, -402800]$	\(y^2=x^3+x^2-4880x-402800\)	2.3.0.a.1, 4.6.0.a.1, 44.12.0-4.a.1.1, 740.12.0.?, 1480.24.0.?, $\ldots$	$[(835, 24050)]$	$1$
250120.d2	250120d2	250120.d	250120d	$2$	$2$	\( 2^{3} \cdot 5 \cdot 13^{2} \cdot 37 \)	\( - 2^{10} \cdot 5^{2} \cdot 13^{6} \cdot 37^{2} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.5	2B	$19240$	$48$	$0$	$2.012229195$	$1$		$11$	$737280$	$1.414696$	$-7086244/34225$	$0.93799$	$3.24463$	$1$	$[0, 1, 0, -6816, 659920]$	\(y^2=x^3+x^2-6816x+659920\)	2.3.0.a.1, 4.6.0.a.1, 52.12.0-4.a.1.1, 740.12.0.?, 1480.24.0.?, $\ldots$	$[(72, 740), (472, 10140)]$	$1$
273800.p2	273800p2	273800.p	273800p	$2$	$2$	\( 2^{3} \cdot 5^{2} \cdot 37^{2} \)	\( - 2^{10} \cdot 5^{8} \cdot 37^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.6	2B	$1480$	$48$	$0$	$7.111617764$	$1$		$1$	$12607488$	$2.742397$	$-7086244/34225$	$0.93799$	$4.49373$	$1$	$[0, -1, 0, -1380408, 1908858812]$	\(y^2=x^3-x^2-1380408x+1908858812\)	2.3.0.a.1, 4.12.0-4.a.1.2, 740.24.0.?, 1480.48.0.?	$[(45797/11, 50516100/11)]$	$1$
358160.ch2	358160ch2	358160.ch	358160ch	$2$	$2$	\( 2^{4} \cdot 5 \cdot 11^{2} \cdot 37 \)	\( - 2^{10} \cdot 5^{2} \cdot 11^{6} \cdot 37^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.5	2B	$16280$	$48$	$0$	$1$	$4$	$2$	$1$	$1105920$	$1.331167$	$-7086244/34225$	$0.93799$	$3.07516$	$1$	$[0, -1, 0, -4880, 402800]$	\(y^2=x^3-x^2-4880x+402800\)	2.3.0.a.1, 4.6.0.a.1, 44.12.0-4.a.1.1, 740.12.0.?, 1480.24.0.?, $\ldots$	$[ ]$	$1$
362600.l2	362600l2	362600.l	362600l	$2$	$2$	\( 2^{3} \cdot 5^{2} \cdot 7^{2} \cdot 37 \)	\( - 2^{10} \cdot 5^{8} \cdot 7^{6} \cdot 37^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.5	2B	$10360$	$48$	$0$	$2.761778438$	$1$		$5$	$3317760$	$1.909895$	$-7086244/34225$	$0.93799$	$3.61471$	$1$	$[0, 1, 0, -49408, -12939312]$	\(y^2=x^3+x^2-49408x-12939312\)	2.3.0.a.1, 4.6.0.a.1, 140.12.0.?, 740.12.0.?, 1036.12.0.?, $\ldots$	$[(328, 2500)]$	$1$
427720.q2	427720q2	427720.q	427720q	$2$	$2$	\( 2^{3} \cdot 5 \cdot 17^{2} \cdot 37 \)	\( - 2^{10} \cdot 5^{2} \cdot 17^{6} \cdot 37^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.5	2B	$25160$	$48$	$0$	$2.714409875$	$1$		$1$	$1966080$	$1.548826$	$-7086244/34225$	$0.93799$	$3.23451$	$1$	$[0, -1, 0, -11656, 1484700]$	\(y^2=x^3-x^2-11656x+1484700\)	2.3.0.a.1, 4.6.0.a.1, 68.12.0-4.a.1.1, 740.12.0.?, 1480.24.0.?, $\ldots$	$[(802/3, 28900/3)]$	$1$
438080.r2	438080r2	438080.r	438080r	$2$	$2$	\( 2^{6} \cdot 5 \cdot 37^{2} \)	\( - 2^{16} \cdot 5^{2} \cdot 37^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.5	2B	$1480$	$48$	$0$	$4.644234779$	$1$		$1$	$8404992$	$2.284252$	$-7086244/34225$	$0.93799$	$3.90792$	$1$	$[0, 1, 0, -220865, -122211137]$	\(y^2=x^3+x^2-220865x-122211137\)	2.3.0.a.1, 4.6.0.a.1, 40.12.0-4.a.1.2, 296.12.0.?, 740.12.0.?, $\ldots$	$[(7189/2, 581825/2)]$	$1$
438080.dn2	438080dn2	438080.dn	438080dn	$2$	$2$	\( 2^{6} \cdot 5 \cdot 37^{2} \)	\( - 2^{16} \cdot 5^{2} \cdot 37^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.5	2B	$1480$	$48$	$0$	$1$	$4$	$2$	$1$	$8404992$	$2.284252$	$-7086244/34225$	$0.93799$	$3.90792$	$1$	$[0, -1, 0, -220865, 122211137]$	\(y^2=x^3-x^2-220865x+122211137\)	2.3.0.a.1, 4.6.0.a.1, 40.12.0-4.a.1.2, 296.12.0.?, 740.12.0.?, $\ldots$	$[ ]$	$1$
492840.bp2	492840bp2	492840.bp	492840bp	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 37^{2} \)	\( - 2^{10} \cdot 3^{6} \cdot 5^{2} \cdot 37^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.5	2B	$4440$	$48$	$0$	$17.28108534$	$1$		$1$	$12607488$	$2.486984$	$-7086244/34225$	$0.93799$	$4.05840$	$1$	$[0, 0, 0, -496947, -412214114]$	\(y^2=x^3-496947x-412214114\)	2.3.0.a.1, 4.6.0.a.1, 60.12.0-4.a.1.2, 444.12.0.?, 740.12.0.?, $\ldots$	$[(3340019415/127, 193028288705932/127)]$	$1$

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