Elliptic curve search results

Results (12 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
15480.c1	15480a2	15480.c	15480a	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( 2^{8} \cdot 3^{3} \cdot 5^{4} \cdot 43 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$516$	$12$	$0$	$1.292720963$	$1$		$5$	$4096$	$0.427775$	$4662947952/26875$	$0.82819$	$3.22411$	$[0, 0, 0, -663, 6538]$	\(y^2=x^3-663x+6538\)	2.3.0.a.1, 12.6.0.c.1, 172.6.0.?, 258.6.0.?, 516.12.0.?	$[(11, 24)]$
15480.l1	15480k2	15480.l	15480k	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( 2^{8} \cdot 3^{9} \cdot 5^{4} \cdot 43 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$516$	$12$	$0$	$1.202549604$	$1$		$7$	$12288$	$0.977081$	$4662947952/26875$	$0.82819$	$3.90737$	$[0, 0, 0, -5967, -176526]$	\(y^2=x^3-5967x-176526\)	2.3.0.a.1, 12.6.0.c.1, 172.6.0.?, 258.6.0.?, 516.12.0.?	$[(-47, 10)]$
30960.i1	30960a2	30960.i	30960a	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( 2^{8} \cdot 3^{3} \cdot 5^{4} \cdot 43 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$516$	$12$	$0$	$1$	$1$		$1$	$8192$	$0.427775$	$4662947952/26875$	$0.82819$	$3.00799$	$[0, 0, 0, -663, -6538]$	\(y^2=x^3-663x-6538\)	2.3.0.a.1, 12.6.0.c.1, 172.6.0.?, 258.6.0.?, 516.12.0.?	$[]$
30960.bn1	30960b2	30960.bn	30960b	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( 2^{8} \cdot 3^{9} \cdot 5^{4} \cdot 43 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$516$	$12$	$0$	$1.597539212$	$1$		$5$	$24576$	$0.977081$	$4662947952/26875$	$0.82819$	$3.64545$	$[0, 0, 0, -5967, 176526]$	\(y^2=x^3-5967x+176526\)	2.3.0.a.1, 12.6.0.c.1, 172.6.0.?, 258.6.0.?, 516.12.0.?	$[(37, 80)]$
77400.y1	77400b2	77400.y	77400b	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 43 \)	\( 2^{8} \cdot 3^{9} \cdot 5^{10} \cdot 43 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$516$	$12$	$0$	$1$	$1$		$1$	$294912$	$1.781801$	$4662947952/26875$	$0.82819$	$4.20657$	$[0, 0, 0, -149175, -22065750]$	\(y^2=x^3-149175x-22065750\)	2.3.0.a.1, 12.6.0.c.1, 172.6.0.?, 258.6.0.?, 516.12.0.?	$[]$
77400.bb1	77400y2	77400.bb	77400y	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 43 \)	\( 2^{8} \cdot 3^{3} \cdot 5^{10} \cdot 43 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$516$	$12$	$0$	$0.973975537$	$1$		$7$	$98304$	$1.232494$	$4662947952/26875$	$0.82819$	$3.62099$	$[0, 0, 0, -16575, 817250]$	\(y^2=x^3-16575x+817250\)	2.3.0.a.1, 12.6.0.c.1, 172.6.0.?, 258.6.0.?, 516.12.0.?	$[(85, 150)]$
123840.bs1	123840dm2	123840.bs	123840dm	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( 2^{14} \cdot 3^{9} \cdot 5^{4} \cdot 43 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$516$	$12$	$0$	$3.790405281$	$1$		$13$	$196608$	$1.323656$	$4662947952/26875$	$0.82819$	$3.56915$	$[0, 0, 0, -23868, 1412208]$	\(y^2=x^3-23868x+1412208\)	2.3.0.a.1, 12.6.0.c.1, 172.6.0.?, 258.6.0.?, 516.12.0.?	$[(34, 800), (82, 80)]$
123840.bx1	123840g2	123840.bx	123840g	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( 2^{14} \cdot 3^{9} \cdot 5^{4} \cdot 43 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$516$	$12$	$0$	$1$	$1$		$1$	$196608$	$1.323656$	$4662947952/26875$	$0.82819$	$3.56915$	$[0, 0, 0, -23868, -1412208]$	\(y^2=x^3-23868x-1412208\)	2.3.0.a.1, 12.6.0.c.1, 172.6.0.?, 258.6.0.?, 516.12.0.?	$[]$
123840.ey1	123840v2	123840.ey	123840v	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( 2^{14} \cdot 3^{3} \cdot 5^{4} \cdot 43 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$516$	$12$	$0$	$0.719189977$	$1$		$7$	$65536$	$0.774349$	$4662947952/26875$	$0.82819$	$3.00704$	$[0, 0, 0, -2652, 52304]$	\(y^2=x^3-2652x+52304\)	2.3.0.a.1, 12.6.0.c.1, 172.6.0.?, 258.6.0.?, 516.12.0.?	$[(38, 80)]$
123840.ff1	123840dx2	123840.ff	123840dx	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( 2^{14} \cdot 3^{3} \cdot 5^{4} \cdot 43 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$516$	$12$	$0$	$1.476883132$	$1$		$5$	$65536$	$0.774349$	$4662947952/26875$	$0.82819$	$3.00704$	$[0, 0, 0, -2652, -52304]$	\(y^2=x^3-2652x-52304\)	2.3.0.a.1, 12.6.0.c.1, 172.6.0.?, 258.6.0.?, 516.12.0.?	$[(-30, 16)]$
154800.dh1	154800gh2	154800.dh	154800gh	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 43 \)	\( 2^{8} \cdot 3^{3} \cdot 5^{10} \cdot 43 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$516$	$12$	$0$	$3.753761457$	$1$		$3$	$196608$	$1.232494$	$4662947952/26875$	$0.82819$	$3.41096$	$[0, 0, 0, -16575, -817250]$	\(y^2=x^3-16575x-817250\)	2.3.0.a.1, 12.6.0.c.1, 172.6.0.?, 258.6.0.?, 516.12.0.?	$[(665, 16800)]$
154800.dp1	154800gi2	154800.dp	154800gi	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 43 \)	\( 2^{8} \cdot 3^{9} \cdot 5^{10} \cdot 43 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$516$	$12$	$0$	$4.150007491$	$1$		$3$	$589824$	$1.781801$	$4662947952/26875$	$0.82819$	$3.96257$	$[0, 0, 0, -149175, 22065750]$	\(y^2=x^3-149175x+22065750\)	2.3.0.a.1, 12.6.0.c.1, 172.6.0.?, 258.6.0.?, 516.12.0.?	$[(-395, 4400)]$