Elliptic curve search results

Results (27 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
1110.i1	1110i2	1110.i	1110i	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 37 \)	\( 2^{5} \cdot 3^{10} \cdot 5^{3} \cdot 37^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$4440$	$12$	$0$	$1$	$1$		$0$	$2400$	$1.184988$	$1045706191321645729/323352324000$	$0.99768$	$5.91708$	$[1, 1, 1, -21146, -1192057]$	\(y^2+xy+y=x^3+x^2-21146x-1192057\)	2.3.0.a.1, 40.6.0.b.1, 444.6.0.?, 4440.12.0.?	$[]$
3330.j1	3330i2	3330.j	3330i	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 37 \)	\( 2^{5} \cdot 3^{16} \cdot 5^{3} \cdot 37^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4440$	$12$	$0$	$0.843748578$	$1$		$6$	$19200$	$1.734293$	$1045706191321645729/323352324000$	$0.99768$	$5.92831$	$[1, -1, 0, -190314, 31995220]$	\(y^2+xy=x^3-x^2-190314x+31995220\)	2.3.0.a.1, 40.6.0.b.1, 444.6.0.?, 4440.12.0.?	$[(221, 722)]$
5550.q1	5550o2	5550.q	5550o	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 37 \)	\( 2^{5} \cdot 3^{10} \cdot 5^{9} \cdot 37^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4440$	$12$	$0$	$0.971358053$	$1$		$6$	$57600$	$1.989706$	$1045706191321645729/323352324000$	$0.99768$	$5.93256$	$[1, 0, 1, -528651, -147949802]$	\(y^2+xy+y=x^3-528651x-147949802\)	2.3.0.a.1, 40.6.0.b.1, 444.6.0.?, 4440.12.0.?	$[(-418, 21)]$
8880.v1	8880t2	8880.v	8880t	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 37 \)	\( 2^{17} \cdot 3^{10} \cdot 5^{3} \cdot 37^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4440$	$12$	$0$	$0.526645614$	$1$		$11$	$57600$	$1.878134$	$1045706191321645729/323352324000$	$0.99768$	$5.47860$	$[0, 1, 0, -338336, 75614964]$	\(y^2=x^3+x^2-338336x+75614964\)	2.3.0.a.1, 40.6.0.b.1, 444.6.0.?, 4440.12.0.?	$[(250, 2592)]$
16650.cg1	16650cc2	16650.cg	16650cc	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 37 \)	\( 2^{5} \cdot 3^{16} \cdot 5^{9} \cdot 37^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4440$	$12$	$0$	$1$	$1$		$0$	$460800$	$2.539013$	$1045706191321645729/323352324000$	$0.99768$	$5.94018$	$[1, -1, 1, -4757855, 3994644647]$	\(y^2+xy+y=x^3-x^2-4757855x+3994644647\)	2.3.0.a.1, 40.6.0.b.1, 444.6.0.?, 4440.12.0.?	$[]$
26640.bl1	26640bl2	26640.bl	26640bl	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 37 \)	\( 2^{17} \cdot 3^{16} \cdot 5^{3} \cdot 37^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4440$	$12$	$0$	$1$	$1$		$1$	$460800$	$2.427441$	$1045706191321645729/323352324000$	$0.99768$	$5.53481$	$[0, 0, 0, -3045027, -2044649054]$	\(y^2=x^3-3045027x-2044649054\)	2.3.0.a.1, 40.6.0.b.1, 444.6.0.?, 4440.12.0.?	$[]$
35520.be1	35520cc2	35520.be	35520cc	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 37 \)	\( 2^{23} \cdot 3^{10} \cdot 5^{3} \cdot 37^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4440$	$12$	$0$	$1$	$1$		$1$	$460800$	$2.224709$	$1045706191321645729/323352324000$	$0.99768$	$5.15066$	$[0, -1, 0, -1353345, 606273057]$	\(y^2=x^3-x^2-1353345x+606273057\)	2.3.0.a.1, 40.6.0.b.1, 444.6.0.?, 4440.12.0.?	$[]$
35520.cs1	35520bh2	35520.cs	35520bh	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 37 \)	\( 2^{23} \cdot 3^{10} \cdot 5^{3} \cdot 37^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4440$	$12$	$0$	$1$	$1$		$1$	$460800$	$2.224709$	$1045706191321645729/323352324000$	$0.99768$	$5.15066$	$[0, 1, 0, -1353345, -606273057]$	\(y^2=x^3+x^2-1353345x-606273057\)	2.3.0.a.1, 40.6.0.b.1, 444.6.0.?, 4440.12.0.?	$[]$
41070.i1	41070h2	41070.i	41070h	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 37^{2} \)	\( 2^{5} \cdot 3^{10} \cdot 5^{3} \cdot 37^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4440$	$12$	$0$	$1$	$1$		$0$	$3283200$	$2.990444$	$1045706191321645729/323352324000$	$0.99768$	$5.94526$	$[1, 1, 0, -28948902, -59947020684]$	\(y^2+xy=x^3+x^2-28948902x-59947020684\)	2.3.0.a.1, 40.6.0.b.1, 444.6.0.?, 4440.12.0.?	$[]$
44400.ba1	44400bc2	44400.ba	44400bc	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 37 \)	\( 2^{17} \cdot 3^{10} \cdot 5^{9} \cdot 37^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4440$	$12$	$0$	$2.938711410$	$1$		$3$	$1382400$	$2.682854$	$1045706191321645729/323352324000$	$0.99768$	$5.55702$	$[0, -1, 0, -8458408, 9468787312]$	\(y^2=x^3-x^2-8458408x+9468787312\)	2.3.0.a.1, 40.6.0.b.1, 444.6.0.?, 4440.12.0.?	$[(-3203, 60750)]$
54390.db1	54390da2	54390.db	54390da	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 37 \)	\( 2^{5} \cdot 3^{10} \cdot 5^{3} \cdot 7^{6} \cdot 37^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4440$	$12$	$0$	$0.230973423$	$1$		$14$	$921600$	$2.157944$	$1045706191321645729/323352324000$	$0.99768$	$4.87592$	$[1, 0, 0, -1036155, 405767025]$	\(y^2+xy=x^3-1036155x+405767025\)	2.3.0.a.1, 40.6.0.b.1, 444.6.0.?, 4440.12.0.?	$[(690, 4065)]$
106560.bq1	106560br2	106560.bq	106560br	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 37 \)	\( 2^{23} \cdot 3^{16} \cdot 5^{3} \cdot 37^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4440$	$12$	$0$	$2.956550472$	$1$		$3$	$3686400$	$2.774014$	$1045706191321645729/323352324000$	$0.99768$	$5.23126$	$[0, 0, 0, -12180108, 16357192432]$	\(y^2=x^3-12180108x+16357192432\)	2.3.0.a.1, 40.6.0.b.1, 444.6.0.?, 4440.12.0.?	$[(1694, 24192)]$
106560.bz1	106560er2	106560.bz	106560er	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 37 \)	\( 2^{23} \cdot 3^{16} \cdot 5^{3} \cdot 37^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4440$	$12$	$0$	$1$	$4$	$2$	$1$	$3686400$	$2.774014$	$1045706191321645729/323352324000$	$0.99768$	$5.23126$	$[0, 0, 0, -12180108, -16357192432]$	\(y^2=x^3-12180108x-16357192432\)	2.3.0.a.1, 40.6.0.b.1, 444.6.0.?, 4440.12.0.?	$[]$
123210.cn1	123210cs2	123210.cn	123210cs	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 37^{2} \)	\( 2^{5} \cdot 3^{16} \cdot 5^{3} \cdot 37^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4440$	$12$	$0$	$6.591946319$	$1$		$2$	$26265600$	$3.539753$	$1045706191321645729/323352324000$	$0.99768$	$5.95039$	$[1, -1, 1, -260540123, 1618309018347]$	\(y^2+xy+y=x^3-x^2-260540123x+1618309018347\)	2.3.0.a.1, 40.6.0.b.1, 444.6.0.?, 4440.12.0.?	$[(61865, 14877846)]$
133200.dj1	133200cp2	133200.dj	133200cp	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 37 \)	\( 2^{17} \cdot 3^{16} \cdot 5^{9} \cdot 37^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4440$	$12$	$0$	$1$	$1$		$1$	$11059200$	$3.232159$	$1045706191321645729/323352324000$	$0.99768$	$5.59826$	$[0, 0, 0, -76125675, -255581131750]$	\(y^2=x^3-76125675x-255581131750\)	2.3.0.a.1, 40.6.0.b.1, 444.6.0.?, 4440.12.0.?	$[]$
134310.f1	134310cr2	134310.f	134310cr	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 37 \)	\( 2^{5} \cdot 3^{10} \cdot 5^{3} \cdot 11^{6} \cdot 37^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4440$	$12$	$0$	$1$	$1$		$0$	$3360000$	$2.383934$	$1045706191321645729/323352324000$	$0.99768$	$4.73230$	$[1, 1, 0, -2558668, 1573834288]$	\(y^2+xy=x^3+x^2-2558668x+1573834288\)	2.3.0.a.1, 40.6.0.b.1, 444.6.0.?, 4440.12.0.?	$[]$
163170.bh1	163170et2	163170.bh	163170et	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 37 \)	\( 2^{5} \cdot 3^{16} \cdot 5^{3} \cdot 7^{6} \cdot 37^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4440$	$12$	$0$	$14.03902742$	$1$		$0$	$7372800$	$2.707249$	$1045706191321645729/323352324000$	$0.99768$	$4.97881$	$[1, -1, 0, -9325395, -10955709675]$	\(y^2+xy=x^3-x^2-9325395x-10955709675\)	2.3.0.a.1, 40.6.0.b.1, 444.6.0.?, 4440.12.0.?	$[(6715543/34, 14105868911/34)]$
177600.cv1	177600iz2	177600.cv	177600iz	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 37 \)	\( 2^{23} \cdot 3^{10} \cdot 5^{9} \cdot 37^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4440$	$12$	$0$	$8.242887742$	$1$		$1$	$11059200$	$3.029427$	$1045706191321645729/323352324000$	$0.99768$	$5.26375$	$[0, -1, 0, -33833633, -75716464863]$	\(y^2=x^3-x^2-33833633x-75716464863\)	2.3.0.a.1, 40.6.0.b.1, 444.6.0.?, 4440.12.0.?	$[(355921/5, 190723456/5)]$
177600.gp1	177600bh2	177600.gp	177600bh	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 37 \)	\( 2^{23} \cdot 3^{10} \cdot 5^{9} \cdot 37^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4440$	$12$	$0$	$1.466560157$	$1$		$7$	$11059200$	$3.029427$	$1045706191321645729/323352324000$	$0.99768$	$5.26375$	$[0, 1, 0, -33833633, 75716464863]$	\(y^2=x^3+x^2-33833633x+75716464863\)	2.3.0.a.1, 40.6.0.b.1, 444.6.0.?, 4440.12.0.?	$[(3463, 9600)]$
187590.t1	187590cl2	187590.t	187590cl	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 13^{2} \cdot 37 \)	\( 2^{5} \cdot 3^{10} \cdot 5^{3} \cdot 13^{6} \cdot 37^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4440$	$12$	$0$	$4.142995833$	$1$		$2$	$5529600$	$2.467461$	$1045706191321645729/323352324000$	$0.99768$	$4.68464$	$[1, 1, 0, -3573677, -2601080451]$	\(y^2+xy=x^3+x^2-3573677x-2601080451\)	2.3.0.a.1, 40.6.0.b.1, 444.6.0.?, 4440.12.0.?	$[(13473, 1540881)]$
205350.dw1	205350u2	205350.dw	205350u	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 37^{2} \)	\( 2^{5} \cdot 3^{10} \cdot 5^{9} \cdot 37^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4440$	$12$	$0$	$5.093076555$	$1$		$0$	$78796800$	$3.795166$	$1045706191321645729/323352324000$	$0.99768$	$5.95247$	$[1, 0, 0, -723722563, -7491930140383]$	\(y^2+xy=x^3-723722563x-7491930140383\)	2.3.0.a.1, 40.6.0.b.1, 444.6.0.?, 4440.12.0.?	$[(281338/3, 17306543/3)]$
271950.y1	271950y2	271950.y	271950y	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 37 \)	\( 2^{5} \cdot 3^{10} \cdot 5^{9} \cdot 7^{6} \cdot 37^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4440$	$12$	$0$	$5.706034998$	$1$		$0$	$22118400$	$2.962662$	$1045706191321645729/323352324000$	$0.99768$	$5.02049$	$[1, 1, 0, -25903875, 50720878125]$	\(y^2+xy=x^3+x^2-25903875x+50720878125\)	2.3.0.a.1, 40.6.0.b.1, 444.6.0.?, 4440.12.0.?	$[(16495/2, 931655/2)]$
320790.cw1	320790cw2	320790.cw	320790cw	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 17^{2} \cdot 37 \)	\( 2^{5} \cdot 3^{10} \cdot 5^{3} \cdot 17^{6} \cdot 37^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4440$	$12$	$0$	$1.303206949$	$1$		$6$	$11059200$	$2.601593$	$1045706191321645729/323352324000$	$0.99768$	$4.61335$	$[1, 0, 0, -6111200, -5813796768]$	\(y^2+xy=x^3-6111200x-5813796768\)	2.3.0.a.1, 40.6.0.b.1, 444.6.0.?, 4440.12.0.?	$[(-1436, -392)]$
328560.cz1	328560cz2	328560.cz	328560cz	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 37^{2} \)	\( 2^{17} \cdot 3^{10} \cdot 5^{3} \cdot 37^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4440$	$12$	$0$	$1$	$1$		$1$	$78796800$	$3.683594$	$1045706191321645729/323352324000$	$0.99768$	$5.62682$	$[0, 1, 0, -463182440, 3835682958900]$	\(y^2=x^3+x^2-463182440x+3835682958900\)	2.3.0.a.1, 40.6.0.b.1, 444.6.0.?, 4440.12.0.?	$[]$
400710.p1	400710p2	400710.p	400710p	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 19^{2} \cdot 37 \)	\( 2^{5} \cdot 3^{10} \cdot 5^{3} \cdot 19^{6} \cdot 37^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4440$	$12$	$0$	$1$	$1$		$0$	$15724800$	$2.657207$	$1045706191321645729/323352324000$	$0.99768$	$4.58553$	$[1, 0, 1, -7633714, 8115248036]$	\(y^2+xy+y=x^3-7633714x+8115248036\)	2.3.0.a.1, 40.6.0.b.1, 444.6.0.?, 4440.12.0.?	$[]$
402930.ej1	402930ej2	402930.ej	402930ej	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 37 \)	\( 2^{5} \cdot 3^{16} \cdot 5^{3} \cdot 11^{6} \cdot 37^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4440$	$12$	$0$	$3.628703704$	$1$		$2$	$26880000$	$2.933239$	$1045706191321645729/323352324000$	$0.99768$	$4.84021$	$[1, -1, 1, -23028017, -42516553791]$	\(y^2+xy+y=x^3-x^2-23028017x-42516553791\)	2.3.0.a.1, 40.6.0.b.1, 444.6.0.?, 4440.12.0.?	$[(6197, 226536)]$
435120.dp1	435120dp2	435120.dp	435120dp	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 37 \)	\( 2^{17} \cdot 3^{10} \cdot 5^{3} \cdot 7^{6} \cdot 37^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4440$	$12$	$0$	$1$	$1$		$1$	$22118400$	$2.851089$	$1045706191321645729/323352324000$	$0.99768$	$4.73563$	$[0, -1, 0, -16578480, -25969089600]$	\(y^2=x^3-x^2-16578480x-25969089600\)	2.3.0.a.1, 40.6.0.b.1, 444.6.0.?, 4440.12.0.?	$[]$