Elliptic curve search results

Results (18 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
1462.b1	1462b2	1462.b	1462b	$2$	$2$	\( 2 \cdot 17 \cdot 43 \)	\( 2^{2} \cdot 17^{2} \cdot 43 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$2924$	$12$	$0$	$1$	$4$	$2$	$0$	$576$	$0.225789$	$85468909049649/49708$	$1.00898$	$4.40191$	$[1, -1, 1, -918, -10471]$	\(y^2+xy+y=x^3-x^2-918x-10471\)	2.3.0.a.1, 68.6.0.c.1, 172.6.0.?, 2924.12.0.?	$[]$
11696.g1	11696j2	11696.g	11696j	$2$	$2$	\( 2^{4} \cdot 17 \cdot 43 \)	\( 2^{14} \cdot 17^{2} \cdot 43 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2924$	$12$	$0$	$4.023099668$	$1$		$3$	$13824$	$0.918936$	$85468909049649/49708$	$1.00898$	$4.31269$	$[0, 0, 0, -14683, 684810]$	\(y^2=x^3-14683x+684810\)	2.3.0.a.1, 68.6.0.c.1, 172.6.0.?, 2924.12.0.?	$[(495, 10710)]$
13158.a1	13158g2	13158.a	13158g	$2$	$2$	\( 2 \cdot 3^{2} \cdot 17 \cdot 43 \)	\( 2^{2} \cdot 3^{6} \cdot 17^{2} \cdot 43 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2924$	$12$	$0$	$0.382120000$	$1$		$10$	$18432$	$0.775095$	$85468909049649/49708$	$1.00898$	$4.07715$	$[1, -1, 0, -8259, 290969]$	\(y^2+xy=x^3-x^2-8259x+290969\)	2.3.0.a.1, 68.6.0.c.1, 172.6.0.?, 2924.12.0.?	$[(40, 133)]$
24854.e1	24854d2	24854.e	24854d	$2$	$2$	\( 2 \cdot 17^{2} \cdot 43 \)	\( 2^{2} \cdot 17^{8} \cdot 43 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2924$	$12$	$0$	$1$	$4$	$2$	$0$	$165888$	$1.642395$	$85468909049649/49708$	$1.00898$	$4.84928$	$[1, -1, 1, -265212, -52503565]$	\(y^2+xy+y=x^3-x^2-265212x-52503565\)	2.3.0.a.1, 68.6.0.c.1, 172.6.0.?, 2924.12.0.?	$[]$
36550.i1	36550f2	36550.i	36550f	$2$	$2$	\( 2 \cdot 5^{2} \cdot 17 \cdot 43 \)	\( 2^{2} \cdot 5^{6} \cdot 17^{2} \cdot 43 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2924$	$12$	$0$	$4.412219835$	$1$		$0$	$46080$	$1.030508$	$85468909049649/49708$	$1.00898$	$3.97240$	$[1, -1, 0, -22942, -1331784]$	\(y^2+xy=x^3-x^2-22942x-1331784\)	2.3.0.a.1, 68.6.0.c.1, 172.6.0.?, 2924.12.0.?	$[(1351/2, 41999/2)]$
46784.n1	46784s2	46784.n	46784s	$2$	$2$	\( 2^{6} \cdot 17 \cdot 43 \)	\( 2^{20} \cdot 17^{2} \cdot 43 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2924$	$12$	$0$	$3.359396069$	$1$		$9$	$110592$	$1.265509$	$85468909049649/49708$	$1.00898$	$4.14346$	$[0, 0, 0, -58732, 5478480]$	\(y^2=x^3-58732x+5478480\)	2.3.0.a.1, 68.6.0.c.1, 172.6.0.?, 2924.12.0.?	$[(-166, 3264), (90, 960)]$
46784.o1	46784f2	46784.o	46784f	$2$	$2$	\( 2^{6} \cdot 17 \cdot 43 \)	\( 2^{20} \cdot 17^{2} \cdot 43 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2924$	$12$	$0$	$1$	$4$	$2$	$1$	$110592$	$1.265509$	$85468909049649/49708$	$1.00898$	$4.14346$	$[0, 0, 0, -58732, -5478480]$	\(y^2=x^3-58732x-5478480\)	2.3.0.a.1, 68.6.0.c.1, 172.6.0.?, 2924.12.0.?	$[]$
62866.b1	62866b2	62866.b	62866b	$2$	$2$	\( 2 \cdot 17 \cdot 43^{2} \)	\( 2^{2} \cdot 17^{2} \cdot 43^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2924$	$12$	$0$	$1$	$1$		$0$	$1064448$	$2.106388$	$85468909049649/49708$	$1.00898$	$4.94593$	$[1, -1, 0, -1696804, 851161524]$	\(y^2+xy=x^3-x^2-1696804x+851161524\)	2.3.0.a.1, 68.6.0.c.1, 172.6.0.?, 2924.12.0.?	$[]$
71638.t1	71638q2	71638.t	71638q	$2$	$2$	\( 2 \cdot 7^{2} \cdot 17 \cdot 43 \)	\( 2^{2} \cdot 7^{6} \cdot 17^{2} \cdot 43 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2924$	$12$	$0$	$2.622926024$	$1$		$8$	$221184$	$1.198744$	$85468909049649/49708$	$1.00898$	$3.91387$	$[1, -1, 1, -44967, 3681395]$	\(y^2+xy+y=x^3-x^2-44967x+3681395\)	2.3.0.a.1, 68.6.0.c.1, 172.6.0.?, 2924.12.0.?	$[(107, 240), (123, -68)]$
105264.f1	105264cb2	105264.f	105264cb	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 17 \cdot 43 \)	\( 2^{14} \cdot 3^{6} \cdot 17^{2} \cdot 43 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2924$	$12$	$0$	$4.019208129$	$1$		$3$	$442368$	$1.468243$	$85468909049649/49708$	$1.00898$	$4.06327$	$[0, 0, 0, -132147, -18489870]$	\(y^2=x^3-132147x-18489870\)	2.3.0.a.1, 68.6.0.c.1, 172.6.0.?, 2924.12.0.?	$[(1167, 37638)]$
176902.a1	176902f2	176902.a	176902f	$2$	$2$	\( 2 \cdot 11^{2} \cdot 17 \cdot 43 \)	\( 2^{2} \cdot 11^{6} \cdot 17^{2} \cdot 43 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2924$	$12$	$0$	$1$	$1$		$0$	$806400$	$1.424736$	$85468909049649/49708$	$1.00898$	$3.84550$	$[1, -1, 0, -111040, 14269668]$	\(y^2+xy=x^3-x^2-111040x+14269668\)	2.3.0.a.1, 68.6.0.c.1, 172.6.0.?, 2924.12.0.?	$[]$
198832.k1	198832f2	198832.k	198832f	$2$	$2$	\( 2^{4} \cdot 17^{2} \cdot 43 \)	\( 2^{14} \cdot 17^{8} \cdot 43 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2924$	$12$	$0$	$5.374306013$	$1$		$3$	$3981312$	$2.335541$	$85468909049649/49708$	$1.00898$	$4.70453$	$[0, 0, 0, -4243387, 3364471530]$	\(y^2=x^3-4243387x+3364471530\)	2.3.0.a.1, 68.6.0.c.1, 172.6.0.?, 2924.12.0.?	$[(1359, 10374)]$
223686.bb1	223686bw2	223686.bb	223686bw	$2$	$2$	\( 2 \cdot 3^{2} \cdot 17^{2} \cdot 43 \)	\( 2^{2} \cdot 3^{6} \cdot 17^{8} \cdot 43 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2924$	$12$	$0$	$1$	$1$		$0$	$5308416$	$2.191700$	$85468909049649/49708$	$1.00898$	$4.51941$	$[1, -1, 0, -2386905, 1419983153]$	\(y^2+xy=x^3-x^2-2386905x+1419983153\)	2.3.0.a.1, 68.6.0.c.1, 172.6.0.?, 2924.12.0.?	$[]$
247078.h1	247078h2	247078.h	247078h	$2$	$2$	\( 2 \cdot 13^{2} \cdot 17 \cdot 43 \)	\( 2^{2} \cdot 13^{6} \cdot 17^{2} \cdot 43 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2924$	$12$	$0$	$2.595078413$	$1$		$4$	$1327104$	$1.508263$	$85468909049649/49708$	$1.00898$	$3.82275$	$[1, -1, 0, -155089, -23469471]$	\(y^2+xy=x^3-x^2-155089x-23469471\)	2.3.0.a.1, 68.6.0.c.1, 172.6.0.?, 2924.12.0.?	$[(-227, 115)]$
292400.bk1	292400bk2	292400.bk	292400bk	$2$	$2$	\( 2^{4} \cdot 5^{2} \cdot 17 \cdot 43 \)	\( 2^{14} \cdot 5^{6} \cdot 17^{2} \cdot 43 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2924$	$12$	$0$	$5.515695413$	$1$		$3$	$1105920$	$1.723656$	$85468909049649/49708$	$1.00898$	$3.97696$	$[0, 0, 0, -367075, 85601250]$	\(y^2=x^3-367075x+85601250\)	2.3.0.a.1, 68.6.0.c.1, 172.6.0.?, 2924.12.0.?	$[(711, 13566)]$
328950.fy1	328950fy2	328950.fy	328950fy	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 17 \cdot 43 \)	\( 2^{2} \cdot 3^{6} \cdot 5^{6} \cdot 17^{2} \cdot 43 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2924$	$12$	$0$	$1$	$1$		$0$	$1474560$	$1.579813$	$85468909049649/49708$	$1.00898$	$3.80422$	$[1, -1, 1, -206480, 36164647]$	\(y^2+xy+y=x^3-x^2-206480x+36164647\)	2.3.0.a.1, 68.6.0.c.1, 172.6.0.?, 2924.12.0.?	$[]$
421056.fd1	421056fd2	421056.fd	421056fd	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 17 \cdot 43 \)	\( 2^{20} \cdot 3^{6} \cdot 17^{2} \cdot 43 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2924$	$12$	$0$	$1$	$1$		$1$	$3538944$	$1.814816$	$85468909049649/49708$	$1.00898$	$3.94945$	$[0, 0, 0, -528588, 147918960]$	\(y^2=x^3-528588x+147918960\)	2.3.0.a.1, 68.6.0.c.1, 172.6.0.?, 2924.12.0.?	$[]$
421056.fe1	421056fe2	421056.fe	421056fe	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 17 \cdot 43 \)	\( 2^{20} \cdot 3^{6} \cdot 17^{2} \cdot 43 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2924$	$12$	$0$	$1$	$4$	$2$	$1$	$3538944$	$1.814816$	$85468909049649/49708$	$1.00898$	$3.94945$	$[0, 0, 0, -528588, -147918960]$	\(y^2=x^3-528588x-147918960\)	2.3.0.a.1, 68.6.0.c.1, 172.6.0.?, 2924.12.0.?	$[]$