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
2310.p1	2310p1	2310.p	2310p	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \)	\( 2^{2} \cdot 3^{6} \cdot 5^{5} \cdot 7 \cdot 11 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$9240$	$12$	$0$	$1$	$1$		$1$	$2880$	$0.767421$	$13782741913468081/701662500$	$0.95993$	$4.79822$	$[1, 1, 1, -4995, -137955]$	\(y^2+xy+y=x^3+x^2-4995x-137955\)	2.3.0.a.1, 24.6.0.c.1, 770.6.0.?, 9240.12.0.?	$[]$
6930.g1	6930j1	6930.g	6930j	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \)	\( 2^{2} \cdot 3^{12} \cdot 5^{5} \cdot 7 \cdot 11 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9240$	$12$	$0$	$1$	$1$		$1$	$23040$	$1.316727$	$13782741913468081/701662500$	$0.95993$	$4.94751$	$[1, -1, 0, -44955, 3679825]$	\(y^2+xy=x^3-x^2-44955x+3679825\)	2.3.0.a.1, 24.6.0.c.1, 770.6.0.?, 9240.12.0.?	$[]$
11550.t1	11550t1	11550.t	11550t	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \)	\( 2^{2} \cdot 3^{6} \cdot 5^{11} \cdot 7 \cdot 11 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9240$	$12$	$0$	$1$	$1$		$1$	$69120$	$1.572140$	$13782741913468081/701662500$	$0.95993$	$5.00498$	$[1, 0, 1, -124876, -16994602]$	\(y^2+xy+y=x^3-124876x-16994602\)	2.3.0.a.1, 24.6.0.c.1, 770.6.0.?, 9240.12.0.?	$[]$
16170.bw1	16170by1	16170.bw	16170by	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \)	\( 2^{2} \cdot 3^{6} \cdot 5^{5} \cdot 7^{7} \cdot 11 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9240$	$12$	$0$	$1$	$1$		$1$	$138240$	$1.740376$	$13782741913468081/701662500$	$0.95993$	$5.03953$	$[1, 0, 0, -244756, 46584236]$	\(y^2+xy=x^3-244756x+46584236\)	2.3.0.a.1, 24.6.0.c.1, 770.6.0.?, 9240.12.0.?	$[]$
18480.cv1	18480de1	18480.cv	18480de	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 11 \)	\( 2^{14} \cdot 3^{6} \cdot 5^{5} \cdot 7 \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9240$	$12$	$0$	$0.284528830$	$1$		$11$	$69120$	$1.460567$	$13782741913468081/701662500$	$0.95993$	$4.62927$	$[0, 1, 0, -79920, 8669268]$	\(y^2=x^3+x^2-79920x+8669268\)	2.3.0.a.1, 24.6.0.c.1, 770.6.0.?, 9240.12.0.?	$[(156, 150)]$
25410.k1	25410p1	25410.k	25410p	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11^{2} \)	\( 2^{2} \cdot 3^{6} \cdot 5^{5} \cdot 7 \cdot 11^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9240$	$12$	$0$	$0.333220766$	$1$		$9$	$345600$	$1.966370$	$13782741913468081/701662500$	$0.95993$	$5.08233$	$[1, 1, 0, -604397, 180595881]$	\(y^2+xy=x^3+x^2-604397x+180595881\)	2.3.0.a.1, 24.6.0.c.1, 770.6.0.?, 9240.12.0.?	$[(457, 74)]$
34650.db1	34650de1	34650.db	34650de	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \)	\( 2^{2} \cdot 3^{12} \cdot 5^{11} \cdot 7 \cdot 11 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9240$	$12$	$0$	$1$	$1$		$1$	$552960$	$2.121445$	$13782741913468081/701662500$	$0.95993$	$5.10956$	$[1, -1, 1, -1123880, 458854247]$	\(y^2+xy+y=x^3-x^2-1123880x+458854247\)	2.3.0.a.1, 24.6.0.c.1, 770.6.0.?, 9240.12.0.?	$[]$
48510.bo1	48510by1	48510.bo	48510by	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 \)	\( 2^{2} \cdot 3^{12} \cdot 5^{5} \cdot 7^{7} \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9240$	$12$	$0$	$1.663670657$	$1$		$7$	$1105920$	$2.289680$	$13782741913468081/701662500$	$0.95993$	$5.13733$	$[1, -1, 0, -2202804, -1257774372]$	\(y^2+xy=x^3-x^2-2202804x-1257774372\)	2.3.0.a.1, 24.6.0.c.1, 770.6.0.?, 9240.12.0.?	$[(-858, 654)]$
55440.v1	55440cy1	55440.v	55440cy	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \)	\( 2^{14} \cdot 3^{12} \cdot 5^{5} \cdot 7 \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9240$	$12$	$0$	$8.516437395$	$1$		$1$	$552960$	$2.009876$	$13782741913468081/701662500$	$0.95993$	$4.76713$	$[0, 0, 0, -719283, -234789518]$	\(y^2=x^3-719283x-234789518\)	2.3.0.a.1, 24.6.0.c.1, 770.6.0.?, 9240.12.0.?	$[(70049/4, 18162063/4)]$
73920.d1	73920eg1	73920.d	73920eg	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 11 \)	\( 2^{20} \cdot 3^{6} \cdot 5^{5} \cdot 7 \cdot 11 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9240$	$12$	$0$	$1$	$1$		$1$	$552960$	$1.807142$	$13782741913468081/701662500$	$0.95993$	$4.42779$	$[0, -1, 0, -319681, 69673825]$	\(y^2=x^3-x^2-319681x+69673825\)	2.3.0.a.1, 24.6.0.c.1, 770.6.0.?, 9240.12.0.?	$[]$
73920.fv1	73920cz1	73920.fv	73920cz	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 11 \)	\( 2^{20} \cdot 3^{6} \cdot 5^{5} \cdot 7 \cdot 11 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9240$	$12$	$0$	$1$	$1$		$1$	$552960$	$1.807142$	$13782741913468081/701662500$	$0.95993$	$4.42779$	$[0, 1, 0, -319681, -69673825]$	\(y^2=x^3+x^2-319681x-69673825\)	2.3.0.a.1, 24.6.0.c.1, 770.6.0.?, 9240.12.0.?	$[]$
76230.cs1	76230dp1	76230.cs	76230dp	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11^{2} \)	\( 2^{2} \cdot 3^{12} \cdot 5^{5} \cdot 7 \cdot 11^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9240$	$12$	$0$	$1$	$1$		$1$	$2764800$	$2.515675$	$13782741913468081/701662500$	$0.95993$	$5.17201$	$[1, -1, 1, -5439578, -4881528363]$	\(y^2+xy+y=x^3-x^2-5439578x-4881528363\)	2.3.0.a.1, 24.6.0.c.1, 770.6.0.?, 9240.12.0.?	$[]$
80850.q1	80850n1	80850.q	80850n	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 11 \)	\( 2^{2} \cdot 3^{6} \cdot 5^{11} \cdot 7^{7} \cdot 11 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9240$	$12$	$0$	$1.740127790$	$1$		$17$	$3317760$	$2.545094$	$13782741913468081/701662500$	$0.95993$	$5.17632$	$[1, 1, 0, -6118900, 5823029500]$	\(y^2+xy=x^3+x^2-6118900x+5823029500\)	2.3.0.a.1, 24.6.0.c.1, 770.6.0.?, 9240.12.0.?	$[(1555, 7660), (18430, 2471410)]$
92400.dc1	92400es1	92400.dc	92400es	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \)	\( 2^{14} \cdot 3^{6} \cdot 5^{11} \cdot 7 \cdot 11 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9240$	$12$	$0$	$1$	$1$		$1$	$1658880$	$2.265285$	$13782741913468081/701662500$	$0.95993$	$4.82221$	$[0, -1, 0, -1998008, 1087654512]$	\(y^2=x^3-x^2-1998008x+1087654512\)	2.3.0.a.1, 24.6.0.c.1, 770.6.0.?, 9240.12.0.?	$[]$
127050.jg1	127050ie1	127050.jg	127050ie	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11^{2} \)	\( 2^{2} \cdot 3^{6} \cdot 5^{11} \cdot 7 \cdot 11^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9240$	$12$	$0$	$2.932088790$	$1$		$3$	$8294400$	$2.771088$	$13782741913468081/701662500$	$0.95993$	$5.20800$	$[1, 0, 0, -15109938, 22604704992]$	\(y^2+xy=x^3-15109938x+22604704992\)	2.3.0.a.1, 24.6.0.c.1, 770.6.0.?, 9240.12.0.?	$[(-4368, 74784)]$
129360.bj1	129360el1	129360.bj	129360el	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \)	\( 2^{14} \cdot 3^{6} \cdot 5^{5} \cdot 7^{7} \cdot 11 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9240$	$12$	$0$	$1$	$1$		$1$	$3317760$	$2.433525$	$13782741913468081/701662500$	$0.95993$	$4.85588$	$[0, -1, 0, -3916096, -2981391104]$	\(y^2=x^3-x^2-3916096x-2981391104\)	2.3.0.a.1, 24.6.0.c.1, 770.6.0.?, 9240.12.0.?	$[]$
177870.cz1	177870gn1	177870.cz	177870gn	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11^{2} \)	\( 2^{2} \cdot 3^{6} \cdot 5^{5} \cdot 7^{7} \cdot 11^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9240$	$12$	$0$	$1$	$1$		$1$	$16588800$	$2.939323$	$13782741913468081/701662500$	$0.95993$	$5.23005$	$[1, 0, 1, -29615479, -62033233594]$	\(y^2+xy+y=x^3-29615479x-62033233594\)	2.3.0.a.1, 24.6.0.c.1, 770.6.0.?, 9240.12.0.?	$[]$
203280.go1	203280d1	203280.go	203280d	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 11^{2} \)	\( 2^{14} \cdot 3^{6} \cdot 5^{5} \cdot 7 \cdot 11^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9240$	$12$	$0$	$1$	$1$		$1$	$8294400$	$2.659515$	$13782741913468081/701662500$	$0.95993$	$4.89819$	$[0, 1, 0, -9670360, -11577477100]$	\(y^2=x^3+x^2-9670360x-11577477100\)	2.3.0.a.1, 24.6.0.c.1, 770.6.0.?, 9240.12.0.?	$[]$
221760.iq1	221760bq1	221760.iq	221760bq	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \)	\( 2^{20} \cdot 3^{12} \cdot 5^{5} \cdot 7 \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9240$	$12$	$0$	$3.695050901$	$1$		$3$	$4423680$	$2.356449$	$13782741913468081/701662500$	$0.95993$	$4.56811$	$[0, 0, 0, -2877132, -1878316144]$	\(y^2=x^3-2877132x-1878316144\)	2.3.0.a.1, 24.6.0.c.1, 770.6.0.?, 9240.12.0.?	$[(2162, 44800)]$
221760.kx1	221760ij1	221760.kx	221760ij	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \)	\( 2^{20} \cdot 3^{12} \cdot 5^{5} \cdot 7 \cdot 11 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9240$	$12$	$0$	$2.477940670$	$1$		$13$	$4423680$	$2.356449$	$13782741913468081/701662500$	$0.95993$	$4.56811$	$[0, 0, 0, -2877132, 1878316144]$	\(y^2=x^3-2877132x+1878316144\)	2.3.0.a.1, 24.6.0.c.1, 770.6.0.?, 9240.12.0.?	$[(488, 24300), (-562, 57600)]$
242550.oh1	242550oh1	242550.oh	242550oh	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 11 \)	\( 2^{2} \cdot 3^{12} \cdot 5^{11} \cdot 7^{7} \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9240$	$12$	$0$	$15.87676581$	$1$		$1$	$26542080$	$3.094402$	$13782741913468081/701662500$	$0.95993$	$5.24931$	$[1, -1, 1, -55070105, -157276866603]$	\(y^2+xy+y=x^3-x^2-55070105x-157276866603\)	2.3.0.a.1, 24.6.0.c.1, 770.6.0.?, 9240.12.0.?	$[(1604096027/293, 57875295658710/293)]$
277200.hi1	277200hi1	277200.hi	277200hi	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \)	\( 2^{14} \cdot 3^{12} \cdot 5^{11} \cdot 7 \cdot 11 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9240$	$12$	$0$	$1$	$1$		$1$	$13271040$	$2.814594$	$13782741913468081/701662500$	$0.95993$	$4.92546$	$[0, 0, 0, -17982075, -29348689750]$	\(y^2=x^3-17982075x-29348689750\)	2.3.0.a.1, 24.6.0.c.1, 770.6.0.?, 9240.12.0.?	$[]$
369600.fx1	369600fx1	369600.fx	369600fx	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \)	\( 2^{20} \cdot 3^{6} \cdot 5^{11} \cdot 7 \cdot 11 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9240$	$12$	$0$	$1$	$4$	$2$	$1$	$13271040$	$2.611862$	$13782741913468081/701662500$	$0.95993$	$4.62517$	$[0, -1, 0, -7992033, -8693244063]$	\(y^2=x^3-x^2-7992033x-8693244063\)	2.3.0.a.1, 24.6.0.c.1, 770.6.0.?, 9240.12.0.?	$[]$
369600.ts1	369600ts1	369600.ts	369600ts	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \)	\( 2^{20} \cdot 3^{6} \cdot 5^{11} \cdot 7 \cdot 11 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9240$	$12$	$0$	$1$	$1$		$1$	$13271040$	$2.611862$	$13782741913468081/701662500$	$0.95993$	$4.62517$	$[0, 1, 0, -7992033, 8693244063]$	\(y^2=x^3+x^2-7992033x+8693244063\)	2.3.0.a.1, 24.6.0.c.1, 770.6.0.?, 9240.12.0.?	$[]$
381150.ht1	381150ht1	381150.ht	381150ht	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11^{2} \)	\( 2^{2} \cdot 3^{12} \cdot 5^{11} \cdot 7 \cdot 11^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9240$	$12$	$0$	$1$	$1$		$1$	$66355200$	$3.320393$	$13782741913468081/701662500$	$0.95993$	$5.27571$	$[1, -1, 0, -135989442, -610327034784]$	\(y^2+xy=x^3-x^2-135989442x-610327034784\)	2.3.0.a.1, 24.6.0.c.1, 770.6.0.?, 9240.12.0.?	$[]$
388080.hz1	388080hz1	388080.hz	388080hz	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 \)	\( 2^{14} \cdot 3^{12} \cdot 5^{5} \cdot 7^{7} \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9240$	$12$	$0$	$0.654886234$	$1$		$9$	$26542080$	$2.982830$	$13782741913468081/701662500$	$0.95993$	$4.95355$	$[0, 0, 0, -35244867, 80532804674]$	\(y^2=x^3-35244867x+80532804674\)	2.3.0.a.1, 24.6.0.c.1, 770.6.0.?, 9240.12.0.?	$[(3073, 35280)]$
390390.e1	390390e1	390390.e	390390e	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 13^{2} \)	\( 2^{2} \cdot 3^{6} \cdot 5^{5} \cdot 7 \cdot 11 \cdot 13^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9240$	$12$	$0$	$1$	$1$		$1$	$6220800$	$2.049896$	$13782741913468081/701662500$	$0.95993$	$4.08173$	$[1, 1, 0, -844158, -298865952]$	\(y^2+xy=x^3+x^2-844158x-298865952\)	2.3.0.a.1, 24.6.0.c.1, 770.6.0.?, 9240.12.0.?	$[]$