Elliptic curve search results

Results (10 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
16830.bf2	16830n1	16830.bf	16830n	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \)	\( - 2^{6} \cdot 3^{9} \cdot 5 \cdot 11^{2} \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$22440$	$12$	$0$	$1$	$1$		$1$	$13824$	$0.655617$	$-2315685267/658240$	$0.93748$	$3.27308$	$[1, -1, 0, -744, 9728]$	\(y^2+xy=x^3-x^2-744x+9728\)	2.3.0.a.1, 264.6.0.?, 510.6.0.?, 7480.6.0.?, 22440.12.0.?	$[]$
16830.bw2	16830bi1	16830.bw	16830bi	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \)	\( - 2^{6} \cdot 3^{3} \cdot 5 \cdot 11^{2} \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$22440$	$12$	$0$	$1$	$1$		$1$	$4608$	$0.106311$	$-2315685267/658240$	$0.93748$	$2.59568$	$[1, -1, 1, -83, -333]$	\(y^2+xy+y=x^3-x^2-83x-333\)	2.3.0.a.1, 264.6.0.?, 510.6.0.?, 7480.6.0.?, 22440.12.0.?	$[]$
84150.g2	84150h1	84150.g	84150h	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 17 \)	\( - 2^{6} \cdot 3^{3} \cdot 5^{7} \cdot 11^{2} \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$22440$	$12$	$0$	$1$	$1$		$1$	$110592$	$0.911030$	$-2315685267/658240$	$0.93748$	$3.07883$	$[1, -1, 0, -2067, -43659]$	\(y^2+xy=x^3-x^2-2067x-43659\)	2.3.0.a.1, 264.6.0.?, 510.6.0.?, 7480.6.0.?, 22440.12.0.?	$[]$
84150.ea2	84150ej1	84150.ea	84150ej	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 17 \)	\( - 2^{6} \cdot 3^{9} \cdot 5^{7} \cdot 11^{2} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$22440$	$12$	$0$	$0.678264205$	$1$		$9$	$331776$	$1.460337$	$-2315685267/658240$	$0.93748$	$3.66009$	$[1, -1, 1, -18605, 1197397]$	\(y^2+xy+y=x^3-x^2-18605x+1197397\)	2.3.0.a.1, 264.6.0.?, 510.6.0.?, 7480.6.0.?, 22440.12.0.?	$[(59, 520)]$
134640.e2	134640dl1	134640.e	134640dl	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \)	\( - 2^{18} \cdot 3^{3} \cdot 5 \cdot 11^{2} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$22440$	$12$	$0$	$1.041564612$	$1$		$9$	$110592$	$0.799458$	$-2315685267/658240$	$0.93748$	$2.84294$	$[0, 0, 0, -1323, 22618]$	\(y^2=x^3-1323x+22618\)	2.3.0.a.1, 264.6.0.?, 510.6.0.?, 7480.6.0.?, 22440.12.0.?	$[(23, 66)]$
134640.cw2	134640cr1	134640.cw	134640cr	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \)	\( - 2^{18} \cdot 3^{9} \cdot 5 \cdot 11^{2} \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$22440$	$12$	$0$	$1$	$1$		$1$	$331776$	$1.348764$	$-2315685267/658240$	$0.93748$	$3.40107$	$[0, 0, 0, -11907, -610686]$	\(y^2=x^3-11907x-610686\)	2.3.0.a.1, 264.6.0.?, 510.6.0.?, 7480.6.0.?, 22440.12.0.?	$[]$
185130.c2	185130fk1	185130.c	185130fk	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 17 \)	\( - 2^{6} \cdot 3^{3} \cdot 5 \cdot 11^{8} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$22440$	$12$	$0$	$1.120099834$	$1$		$7$	$552960$	$1.305258$	$-2315685267/658240$	$0.93748$	$3.26872$	$[1, -1, 0, -10005, 472885]$	\(y^2+xy=x^3-x^2-10005x+472885\)	2.3.0.a.1, 264.6.0.?, 510.6.0.?, 7480.6.0.?, 22440.12.0.?	$[(3, 664)]$
185130.eo2	185130bs1	185130.eo	185130bs	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 17 \)	\( - 2^{6} \cdot 3^{9} \cdot 5 \cdot 11^{8} \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$22440$	$12$	$0$	$1$	$1$		$1$	$1658880$	$1.854565$	$-2315685267/658240$	$0.93748$	$3.81220$	$[1, -1, 1, -90047, -12677849]$	\(y^2+xy+y=x^3-x^2-90047x-12677849\)	2.3.0.a.1, 264.6.0.?, 510.6.0.?, 7480.6.0.?, 22440.12.0.?	$[]$
286110.f2	286110f1	286110.f	286110f	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17^{2} \)	\( - 2^{6} \cdot 3^{9} \cdot 5 \cdot 11^{2} \cdot 17^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$22440$	$12$	$0$	$2.048425867$	$1$		$5$	$3981312$	$2.072224$	$-2315685267/658240$	$0.93748$	$3.88800$	$[1, -1, 0, -215070, 46933460]$	\(y^2+xy=x^3-x^2-215070x+46933460\)	2.3.0.a.1, 264.6.0.?, 510.6.0.?, 7480.6.0.?, 22440.12.0.?	$[(-412, 8298)]$
286110.ft2	286110ft1	286110.ft	286110ft	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17^{2} \)	\( - 2^{6} \cdot 3^{3} \cdot 5 \cdot 11^{2} \cdot 17^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$22440$	$12$	$0$	$1$	$1$		$1$	$1327104$	$1.522917$	$-2315685267/658240$	$0.93748$	$3.36336$	$[1, -1, 1, -23897, -1730311]$	\(y^2+xy+y=x^3-x^2-23897x-1730311\)	2.3.0.a.1, 264.6.0.?, 510.6.0.?, 7480.6.0.?, 22440.12.0.?	$[]$