Elliptic curve search results

Results (15 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
6270.l2	6270l4	6270.l	6270l	$8$	$12$	\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 19 \)	\( 2^{2} \cdot 3^{6} \cdot 5^{3} \cdot 11 \cdot 19^{4} \)	$0$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2, 3$	4.6.0.1, 3.8.0.1	2B, 3B.1.1	$25080$	$384$	$5$	$1$	$1$		$4$	$258048$	$2.486938$	$1081411559614045490773061881/522522049500$	$1.02691$	$7.11933$	$[1, 0, 1, -21384008, 38059355306]$	\(y^2+xy+y=x^3-21384008x+38059355306\)	2.3.0.a.1, 3.8.0-3.a.1.2, 4.6.0.c.1, 6.24.0-6.a.1.4, 12.48.0-12.g.1.12, $\ldots$	$[]$
18810.p2	18810z4	18810.p	18810z	$8$	$12$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 19 \)	\( 2^{2} \cdot 3^{12} \cdot 5^{3} \cdot 11 \cdot 19^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.1, 3.8.0.2	2B, 3B.1.2	$25080$	$384$	$5$	$19.10565076$	$1$		$0$	$2064384$	$3.036243$	$1081411559614045490773061881/522522049500$	$1.02691$	$6.99438$	$[1, -1, 1, -192456068, -1027602593269]$	\(y^2+xy+y=x^3-x^2-192456068x-1027602593269\)	2.3.0.a.1, 3.8.0-3.a.1.1, 4.6.0.c.1, 6.24.0-6.a.1.2, 12.48.0-12.g.1.10, $\ldots$	$[(14332625589/455, 1675099934294177/455)]$
31350.bt2	31350bi5	31350.bt	31350bi	$8$	$12$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 19 \)	\( 2^{2} \cdot 3^{6} \cdot 5^{9} \cdot 11 \cdot 19^{4} \)	$1$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.12.0.7, 3.4.0.1	2B, 3B	$25080$	$384$	$5$	$11.30501916$	$1$		$2$	$6193152$	$3.291656$	$1081411559614045490773061881/522522049500$	$1.02691$	$6.94532$	$[1, 1, 1, -534600188, 4757419413281]$	\(y^2+xy+y=x^3+x^2-534600188x+4757419413281\)	2.3.0.a.1, 3.4.0.a.1, 4.12.0-4.c.1.1, 6.12.0.a.1, 12.48.0-12.g.1.1, $\ldots$	$[(10558445/28, 374222519/28)]$
50160.bc2	50160bo5	50160.bc	50160bo	$8$	$12$	\( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 19 \)	\( 2^{14} \cdot 3^{6} \cdot 5^{3} \cdot 11 \cdot 19^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.1, 3.4.0.1	2B, 3B	$25080$	$384$	$5$	$1$	$16$	$2$	$1$	$6193152$	$3.180084$	$1081411559614045490773061881/522522049500$	$1.02691$	$6.52000$	$[0, -1, 0, -342144120, -2435798739600]$	\(y^2=x^3-x^2-342144120x-2435798739600\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0-12.g.1.8, $\ldots$	$[]$
68970.cv2	68970cv5	68970.cv	68970cv	$8$	$12$	\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 19 \)	\( 2^{2} \cdot 3^{6} \cdot 5^{3} \cdot 11^{7} \cdot 19^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.12.0.8, 3.4.0.1	2B, 3B	$25080$	$384$	$5$	$4.963511576$	$4$	$2$	$2$	$30965760$	$3.685886$	$1081411559614045490773061881/522522049500$	$1.02691$	$6.87842$	$[1, 0, 0, -2587464910, -50659589377528]$	\(y^2+xy=x^3-2587464910x-50659589377528\)	2.3.0.a.1, 3.4.0.a.1, 4.12.0-4.c.1.2, 6.12.0.a.1, 12.48.0-12.g.1.7, $\ldots$	$[(505724, 357494528)]$
94050.cf2	94050bp5	94050.cf	94050bp	$8$	$12$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 19 \)	\( 2^{2} \cdot 3^{12} \cdot 5^{9} \cdot 11 \cdot 19^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.1, 3.4.0.1	2B, 3B	$25080$	$384$	$5$	$1$	$9$	$3$	$0$	$49545216$	$3.840965$	$1081411559614045490773061881/522522049500$	$1.02691$	$6.85463$	$[1, -1, 0, -4811401692, -128455135560284]$	\(y^2+xy=x^3-x^2-4811401692x-128455135560284\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0-12.g.1.5, $\ldots$	$[]$
119130.bf2	119130bi5	119130.bf	119130bi	$8$	$12$	\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 19^{2} \)	\( 2^{2} \cdot 3^{6} \cdot 5^{3} \cdot 11 \cdot 19^{10} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	8.12.0.6, 3.4.0.1	2B, 3B	$25080$	$384$	$5$	$1$	$16$	$2$	$0$	$92897280$	$3.959160$	$1081411559614045490773061881/522522049500$	$1.02691$	$6.83735$	$[1, 1, 1, -7719626715, -261064557298995]$	\(y^2+xy+y=x^3+x^2-7719626715x-261064557298995\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 8.12.0-4.c.1.5, $\ldots$	$[]$
150480.bo2	150480ce4	150480.bo	150480ce	$8$	$12$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 19 \)	\( 2^{14} \cdot 3^{12} \cdot 5^{3} \cdot 11 \cdot 19^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.1, 3.4.0.1	2B, 3B	$25080$	$384$	$5$	$17.41519446$	$1$		$1$	$49545216$	$3.729393$	$1081411559614045490773061881/522522049500$	$1.02691$	$6.47208$	$[0, 0, 0, -3079297083, 65769645266282]$	\(y^2=x^3-3079297083x+65769645266282\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0-12.g.1.4, $\ldots$	$[(3613439111/287, 91889498924026/287)]$
200640.e2	200640ge4	200640.e	200640ge	$8$	$12$	\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 19 \)	\( 2^{20} \cdot 3^{6} \cdot 5^{3} \cdot 11 \cdot 19^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.1, 3.4.0.1	2B, 3B	$25080$	$384$	$5$	$1$	$1$		$1$	$49545216$	$3.526661$	$1081411559614045490773061881/522522049500$	$1.02691$	$6.12033$	$[0, -1, 0, -1368576481, 19487758493281]$	\(y^2=x^3-x^2-1368576481x+19487758493281\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.24.0.g.1, $\ldots$	$[]$
200640.ez2	200640br5	200640.ez	200640br	$8$	$12$	\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 19 \)	\( 2^{20} \cdot 3^{6} \cdot 5^{3} \cdot 11 \cdot 19^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.1, 3.4.0.1	2B, 3B	$25080$	$384$	$5$	$1$	$16$	$2$	$1$	$49545216$	$3.526661$	$1081411559614045490773061881/522522049500$	$1.02691$	$6.12033$	$[0, 1, 0, -1368576481, -19487758493281]$	\(y^2=x^3+x^2-1368576481x-19487758493281\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.24.0.g.1, $\ldots$	$[]$
206910.bd2	206910er4	206910.bd	206910er	$8$	$12$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 19 \)	\( 2^{2} \cdot 3^{12} \cdot 5^{3} \cdot 11^{7} \cdot 19^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.1, 3.4.0.1	2B, 3B	$25080$	$384$	$5$	$5.577805952$	$1$		$2$	$247726080$	$4.235191$	$1081411559614045490773061881/522522049500$	$1.02691$	$6.79958$	$[1, -1, 0, -23287184190, 1367808913193256]$	\(y^2+xy=x^3-x^2-23287184190x+1367808913193256\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0-12.g.1.3, $\ldots$	$[(75012, 6524808)]$
250800.eq2	250800eq5	250800.eq	250800eq	$8$	$12$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 19 \)	\( 2^{14} \cdot 3^{6} \cdot 5^{9} \cdot 11 \cdot 19^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.12.0.8, 3.4.0.1	2B, 3B	$25080$	$384$	$5$	$1$	$4$	$2$	$1$	$148635648$	$3.984806$	$1081411559614045490773061881/522522049500$	$1.02691$	$6.45269$	$[0, 1, 0, -8553603008, -304491949656012]$	\(y^2=x^3+x^2-8553603008x-304491949656012\)	2.3.0.a.1, 3.4.0.a.1, 4.12.0-4.c.1.2, 6.12.0.a.1, 12.48.0-12.g.1.7, $\ldots$	$[]$
307230.c2	307230c5	307230.c	307230c	$8$	$12$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \cdot 19 \)	\( 2^{2} \cdot 3^{6} \cdot 5^{3} \cdot 7^{6} \cdot 11 \cdot 19^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.1, 3.4.0.1	2B, 3B	$175560$	$384$	$5$	$1$	$4$	$2$	$0$	$74317824$	$3.459892$	$1081411559614045490773061881/522522049500$	$1.02691$	$5.85053$	$[1, 1, 0, -1047816368, -13055406686412]$	\(y^2+xy=x^3+x^2-1047816368x-13055406686412\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.24.0.g.1, $\ldots$	$[]$
344850.f2	344850f5	344850.f	344850f	$8$	$12$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11^{2} \cdot 19 \)	\( 2^{2} \cdot 3^{6} \cdot 5^{9} \cdot 11^{7} \cdot 19^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.1, 3.4.0.1	2B, 3B	$25080$	$384$	$5$	$1$	$4$	$2$	$0$	$743178240$	$4.490608$	$1081411559614045490773061881/522522049500$	$1.02691$	$6.76755$	$[1, 1, 0, -64686622750, -6332448672191000]$	\(y^2+xy=x^3+x^2-64686622750x-6332448672191000\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0-12.g.1.9, $\ldots$	$[]$
357390.e2	357390e4	357390.e	357390e	$8$	$12$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 19^{2} \)	\( 2^{2} \cdot 3^{12} \cdot 5^{3} \cdot 11 \cdot 19^{10} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.1, 3.4.0.1	2B, 3B	$25080$	$384$	$5$	$1$	$1$		$0$	$743178240$	$4.508461$	$1081411559614045490773061881/522522049500$	$1.02691$	$6.76540$	$[1, -1, 0, -69476640435, 7048673570432425]$	\(y^2+xy=x^3-x^2-69476640435x+7048673570432425\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.24.0.g.1, $\ldots$	$[]$