Elliptic curve search results

Results (23 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
2220.b1	2220b1	2220.b	2220b	$2$	$2$	\( 2^{2} \cdot 3 \cdot 5 \cdot 37 \)	\( 2^{4} \cdot 3^{8} \cdot 5^{4} \cdot 37 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.22	2B	$296$	$48$	$0$	$1$	$1$		$1$	$2688$	$0.873527$	$3132662187311104/151723125$	$1.00286$	$4.99052$	$[0, -1, 0, -7681, -256550]$	\(y^2=x^3-x^2-7681x-256550\)	2.3.0.a.1, 4.6.0.b.1, 8.12.0-4.b.1.2, 74.6.0.?, 148.24.0.?, $\ldots$	$[ ]$
6660.f1	6660d1	6660.f	6660d	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 37 \)	\( 2^{4} \cdot 3^{14} \cdot 5^{4} \cdot 37 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$888$	$48$	$0$	$1$	$1$		$1$	$21504$	$1.422832$	$3132662187311104/151723125$	$1.00286$	$5.11649$	$[0, 0, 0, -69132, 6995981]$	\(y^2=x^3-69132x+6995981\)	2.3.0.a.1, 4.6.0.b.1, 24.12.0-4.b.1.4, 74.6.0.?, 148.24.0.?, $\ldots$	$[ ]$
8880.o1	8880y1	8880.o	8880y	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 37 \)	\( 2^{4} \cdot 3^{8} \cdot 5^{4} \cdot 37 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.22	2B	$296$	$48$	$0$	$0.833985108$	$1$		$5$	$10752$	$0.873527$	$3132662187311104/151723125$	$1.00286$	$4.22956$	$[0, 1, 0, -7681, 256550]$	\(y^2=x^3+x^2-7681x+256550\)	2.3.0.a.1, 4.6.0.b.1, 8.12.0-4.b.1.2, 74.6.0.?, 148.24.0.?, $\ldots$	$[(62, 150)]$
11100.h1	11100l1	11100.h	11100l	$2$	$2$	\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 37 \)	\( 2^{4} \cdot 3^{8} \cdot 5^{10} \cdot 37 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$1480$	$48$	$0$	$1$	$1$		$1$	$64512$	$1.678246$	$3132662187311104/151723125$	$1.00286$	$5.16494$	$[0, 1, 0, -192033, -32452812]$	\(y^2=x^3+x^2-192033x-32452812\)	2.3.0.a.1, 4.6.0.b.1, 40.12.0-4.b.1.2, 74.6.0.?, 148.24.0.?, $\ldots$	$[ ]$
26640.y1	26640bw1	26640.y	26640bw	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 37 \)	\( 2^{4} \cdot 3^{14} \cdot 5^{4} \cdot 37 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$888$	$48$	$0$	$1$	$1$		$1$	$86016$	$1.422832$	$3132662187311104/151723125$	$1.00286$	$4.42043$	$[0, 0, 0, -69132, -6995981]$	\(y^2=x^3-69132x-6995981\)	2.3.0.a.1, 4.6.0.b.1, 24.12.0-4.b.1.4, 74.6.0.?, 148.24.0.?, $\ldots$	$[ ]$
33300.c1	33300s1	33300.c	33300s	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 37 \)	\( 2^{4} \cdot 3^{14} \cdot 5^{10} \cdot 37 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$4440$	$48$	$0$	$1$	$1$		$1$	$516096$	$2.227551$	$3132662187311104/151723125$	$1.00286$	$5.25304$	$[0, 0, 0, -1728300, 874497625]$	\(y^2=x^3-1728300x+874497625\)	2.3.0.a.1, 4.6.0.b.1, 74.6.0.?, 120.12.0.?, 148.24.0.?, $\ldots$	$[ ]$
35520.s1	35520cj1	35520.s	35520cj	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 37 \)	\( 2^{10} \cdot 3^{8} \cdot 5^{4} \cdot 37 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.21	2B	$296$	$48$	$0$	$1.830802322$	$1$		$15$	$86016$	$1.220100$	$3132662187311104/151723125$	$1.00286$	$4.06688$	$[0, -1, 0, -30725, 2083125]$	\(y^2=x^3-x^2-30725x+2083125\)	2.3.0.a.1, 4.6.0.b.1, 8.12.0-4.b.1.3, 74.6.0.?, 148.24.0.?, $\ldots$	$[(105, 60), (100, 25)]$
35520.dd1	35520bm1	35520.dd	35520bm	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 37 \)	\( 2^{10} \cdot 3^{8} \cdot 5^{4} \cdot 37 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.21	2B	$296$	$48$	$0$	$1$	$1$		$1$	$86016$	$1.220100$	$3132662187311104/151723125$	$1.00286$	$4.06688$	$[0, 1, 0, -30725, -2083125]$	\(y^2=x^3+x^2-30725x-2083125\)	2.3.0.a.1, 4.6.0.b.1, 8.12.0-4.b.1.3, 74.6.0.?, 148.24.0.?, $\ldots$	$[ ]$
44400.bs1	44400bm1	44400.bs	44400bm	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 37 \)	\( 2^{4} \cdot 3^{8} \cdot 5^{10} \cdot 37 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$1480$	$48$	$0$	$10.29380841$	$1$		$1$	$258048$	$1.678246$	$3132662187311104/151723125$	$1.00286$	$4.49583$	$[0, -1, 0, -192033, 32452812]$	\(y^2=x^3-x^2-192033x+32452812\)	2.3.0.a.1, 4.6.0.b.1, 40.12.0-4.b.1.2, 74.6.0.?, 148.24.0.?, $\ldots$	$[(65084/17, 3732344/17)]$
82140.f1	82140f1	82140.f	82140f	$2$	$2$	\( 2^{2} \cdot 3 \cdot 5 \cdot 37^{2} \)	\( 2^{4} \cdot 3^{8} \cdot 5^{4} \cdot 37^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.24	2B	$296$	$48$	$0$	$18.44372968$	$1$		$1$	$3677184$	$2.678986$	$3132662187311104/151723125$	$1.00286$	$5.31264$	$[0, -1, 0, -10515745, -13121214218]$	\(y^2=x^3-x^2-10515745x-13121214218\)	2.3.0.a.1, 4.6.0.b.1, 8.12.0-4.b.1.4, 74.6.0.?, 148.24.0.?, $\ldots$	$[(-1925967894/1013, 666605208640/1013)]$
106560.n1	106560fh1	106560.n	106560fh	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 37 \)	\( 2^{10} \cdot 3^{14} \cdot 5^{4} \cdot 37 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$888$	$48$	$0$	$1$	$1$		$1$	$688128$	$1.769407$	$3132662187311104/151723125$	$1.00286$	$4.25033$	$[0, 0, 0, -276528, -55967848]$	\(y^2=x^3-276528x-55967848\)	2.3.0.a.1, 4.6.0.b.1, 24.12.0-4.b.1.1, 74.6.0.?, 148.24.0.?, $\ldots$	$[ ]$
106560.da1	106560cf1	106560.da	106560cf	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 37 \)	\( 2^{10} \cdot 3^{14} \cdot 5^{4} \cdot 37 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$888$	$48$	$0$	$2.916619002$	$1$		$3$	$688128$	$1.769407$	$3132662187311104/151723125$	$1.00286$	$4.25033$	$[0, 0, 0, -276528, 55967848]$	\(y^2=x^3-276528x+55967848\)	2.3.0.a.1, 4.6.0.b.1, 24.12.0-4.b.1.1, 74.6.0.?, 148.24.0.?, $\ldots$	$[(449, 4725)]$
108780.bg1	108780bp1	108780.bg	108780bp	$2$	$2$	\( 2^{2} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 37 \)	\( 2^{4} \cdot 3^{8} \cdot 5^{4} \cdot 7^{6} \cdot 37 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$2072$	$48$	$0$	$0.166945529$	$1$		$17$	$774144$	$1.846481$	$3132662187311104/151723125$	$1.00286$	$4.32253$	$[0, 1, 0, -376385, 88749408]$	\(y^2=x^3+x^2-376385x+88749408\)	2.3.0.a.1, 4.6.0.b.1, 56.12.0-4.b.1.2, 74.6.0.?, 148.24.0.?, $\ldots$	$[(331, 735)]$
133200.gg1	133200dn1	133200.gg	133200dn	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 37 \)	\( 2^{4} \cdot 3^{14} \cdot 5^{10} \cdot 37 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$4440$	$48$	$0$	$1$	$9$	$3$	$1$	$2064384$	$2.227551$	$3132662187311104/151723125$	$1.00286$	$4.63588$	$[0, 0, 0, -1728300, -874497625]$	\(y^2=x^3-1728300x-874497625\)	2.3.0.a.1, 4.6.0.b.1, 74.6.0.?, 120.12.0.?, 148.24.0.?, $\ldots$	$[ ]$
177600.l1	177600hx1	177600.l	177600hx	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 37 \)	\( 2^{10} \cdot 3^{8} \cdot 5^{10} \cdot 37 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$1480$	$48$	$0$	$17.80831175$	$1$		$1$	$2064384$	$2.024818$	$3132662187311104/151723125$	$1.00286$	$4.32427$	$[0, -1, 0, -768133, -258854363]$	\(y^2=x^3-x^2-768133x-258854363\)	2.3.0.a.1, 4.6.0.b.1, 40.12.0-4.b.1.3, 74.6.0.?, 148.24.0.?, $\ldots$	$[(1986760477/946, 80192929350825/946)]$
177600.je1	177600ce1	177600.je	177600ce	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 37 \)	\( 2^{10} \cdot 3^{8} \cdot 5^{10} \cdot 37 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$1480$	$48$	$0$	$3.125332156$	$1$		$5$	$2064384$	$2.024818$	$3132662187311104/151723125$	$1.00286$	$4.32427$	$[0, 1, 0, -768133, 258854363]$	\(y^2=x^3+x^2-768133x+258854363\)	2.3.0.a.1, 4.6.0.b.1, 40.12.0-4.b.1.3, 74.6.0.?, 148.24.0.?, $\ldots$	$[(494, 441)]$
246420.m1	246420m1	246420.m	246420m	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 37^{2} \)	\( 2^{4} \cdot 3^{14} \cdot 5^{4} \cdot 37^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$888$	$48$	$0$	$6.208548083$	$1$		$3$	$29417472$	$3.228291$	$3132662187311104/151723125$	$1.00286$	$5.37346$	$[0, 0, 0, -94641708, 354367425593]$	\(y^2=x^3-94641708x+354367425593\)	2.3.0.a.1, 4.6.0.b.1, 24.12.0-4.b.1.2, 74.6.0.?, 148.24.0.?, $\ldots$	$[(-4856, 836325)]$
268620.b1	268620b1	268620.b	268620b	$2$	$2$	\( 2^{2} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 37 \)	\( 2^{4} \cdot 3^{8} \cdot 5^{4} \cdot 11^{6} \cdot 37 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$3256$	$48$	$0$	$2.863273812$	$1$		$3$	$3440640$	$2.072475$	$3132662187311104/151723125$	$1.00286$	$4.22689$	$[0, -1, 0, -929441, 345185766]$	\(y^2=x^3-x^2-929441x+345185766\)	2.3.0.a.1, 4.6.0.b.1, 74.6.0.?, 88.12.0.?, 148.24.0.?, $\ldots$	$[(598, 1694)]$
326340.bp1	326340bp1	326340.bp	326340bp	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 37 \)	\( 2^{4} \cdot 3^{14} \cdot 5^{4} \cdot 7^{6} \cdot 37 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$6216$	$48$	$0$	$1$	$1$		$1$	$6193152$	$2.395786$	$3132662187311104/151723125$	$1.00286$	$4.46769$	$[0, 0, 0, -3387468, -2399621483]$	\(y^2=x^3-3387468x-2399621483\)	2.3.0.a.1, 4.6.0.b.1, 74.6.0.?, 148.24.0.?, 168.12.0.?, $\ldots$	$[ ]$
328560.cj1	328560cj1	328560.cj	328560cj	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 37^{2} \)	\( 2^{4} \cdot 3^{8} \cdot 5^{4} \cdot 37^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.24	2B	$296$	$48$	$0$	$1$	$1$		$1$	$14708736$	$2.678986$	$3132662187311104/151723125$	$1.00286$	$4.73284$	$[0, 1, 0, -10515745, 13121214218]$	\(y^2=x^3+x^2-10515745x+13121214218\)	2.3.0.a.1, 4.6.0.b.1, 8.12.0-4.b.1.4, 74.6.0.?, 148.24.0.?, $\ldots$	$[ ]$
375180.g1	375180g1	375180.g	375180g	$2$	$2$	\( 2^{2} \cdot 3 \cdot 5 \cdot 13^{2} \cdot 37 \)	\( 2^{4} \cdot 3^{8} \cdot 5^{4} \cdot 13^{6} \cdot 37 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$3848$	$48$	$0$	$1$	$4$	$2$	$1$	$6193152$	$2.156002$	$3132662187311104/151723125$	$1.00286$	$4.19496$	$[0, -1, 0, -1298145, -568832850]$	\(y^2=x^3-x^2-1298145x-568832850\)	2.3.0.a.1, 4.6.0.b.1, 74.6.0.?, 104.12.0.?, 148.24.0.?, $\ldots$	$[ ]$
410700.p1	410700p1	410700.p	410700p	$2$	$2$	\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 37^{2} \)	\( 2^{4} \cdot 3^{8} \cdot 5^{10} \cdot 37^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$1480$	$48$	$0$	$4.492864980$	$1$		$3$	$88252416$	$3.483704$	$3132662187311104/151723125$	$1.00286$	$5.39822$	$[0, 1, 0, -262893633, -1640677564512]$	\(y^2=x^3+x^2-262893633x-1640677564512\)	2.3.0.a.1, 4.6.0.b.1, 40.12.0-4.b.1.4, 74.6.0.?, 148.24.0.?, $\ldots$	$[(54624, 12123864)]$
435120.dz1	435120dz1	435120.dz	435120dz	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 37 \)	\( 2^{4} \cdot 3^{8} \cdot 5^{4} \cdot 7^{6} \cdot 37 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$2072$	$48$	$0$	$1$	$1$		$1$	$3096576$	$1.846481$	$3132662187311104/151723125$	$1.00286$	$3.86099$	$[0, -1, 0, -376385, -88749408]$	\(y^2=x^3-x^2-376385x-88749408\)	2.3.0.a.1, 4.6.0.b.1, 56.12.0-4.b.1.2, 74.6.0.?, 148.24.0.?, $\ldots$	$[ ]$

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