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.j1	16830g2	16830.j	16830g	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \)	\( 2 \cdot 3^{9} \cdot 5^{2} \cdot 11 \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$22440$	$12$	$0$	$1$	$1$		$0$	$18432$	$0.744778$	$170676802323/158950$	$1.05066$	$3.67391$	$[1, -1, 0, -3120, -66250]$	\(y^2+xy=x^3-x^2-3120x-66250\)	2.3.0.a.1, 264.6.0.?, 1020.6.0.?, 7480.6.0.?, 22440.12.0.?	$[]$
16830.cp1	16830br2	16830.cp	16830br	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \)	\( 2 \cdot 3^{3} \cdot 5^{2} \cdot 11 \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$22440$	$12$	$0$	$1$	$1$		$0$	$6144$	$0.195471$	$170676802323/158950$	$1.05066$	$2.99652$	$[1, -1, 1, -347, 2569]$	\(y^2+xy+y=x^3-x^2-347x+2569\)	2.3.0.a.1, 264.6.0.?, 1020.6.0.?, 7480.6.0.?, 22440.12.0.?	$[]$
84150.br1	84150s2	84150.br	84150s	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 17 \)	\( 2 \cdot 3^{3} \cdot 5^{8} \cdot 11 \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$22440$	$12$	$0$	$0.902525496$	$1$		$6$	$147456$	$1.000191$	$170676802323/158950$	$1.05066$	$3.42278$	$[1, -1, 0, -8667, 312491]$	\(y^2+xy=x^3-x^2-8667x+312491\)	2.3.0.a.1, 264.6.0.?, 1020.6.0.?, 7480.6.0.?, 22440.12.0.?	$[(59, 33)]$
84150.fg1	84150dt2	84150.fg	84150dt	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 17 \)	\( 2 \cdot 3^{9} \cdot 5^{8} \cdot 11 \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$22440$	$12$	$0$	$1$	$1$		$0$	$442368$	$1.549496$	$170676802323/158950$	$1.05066$	$4.00403$	$[1, -1, 1, -78005, -8359253]$	\(y^2+xy+y=x^3-x^2-78005x-8359253\)	2.3.0.a.1, 264.6.0.?, 1020.6.0.?, 7480.6.0.?, 22440.12.0.?	$[]$
134640.bq1	134640dw2	134640.bq	134640dw	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \)	\( 2^{13} \cdot 3^{9} \cdot 5^{2} \cdot 11 \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$22440$	$12$	$0$	$1$	$1$		$1$	$442368$	$1.437925$	$170676802323/158950$	$1.05066$	$3.73133$	$[0, 0, 0, -49923, 4289922]$	\(y^2=x^3-49923x+4289922\)	2.3.0.a.1, 264.6.0.?, 1020.6.0.?, 7480.6.0.?, 22440.12.0.?	$[]$
134640.ef1	134640dd2	134640.ef	134640dd	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \)	\( 2^{13} \cdot 3^{3} \cdot 5^{2} \cdot 11 \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$22440$	$12$	$0$	$1.998992789$	$1$		$3$	$147456$	$0.888618$	$170676802323/158950$	$1.05066$	$3.17320$	$[0, 0, 0, -5547, -158886]$	\(y^2=x^3-5547x-158886\)	2.3.0.a.1, 264.6.0.?, 1020.6.0.?, 7480.6.0.?, 22440.12.0.?	$[(93, 360)]$
185130.cc1	185130ey2	185130.cc	185130ey	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 17 \)	\( 2 \cdot 3^{3} \cdot 5^{2} \cdot 11^{7} \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$22440$	$12$	$0$	$1$	$1$		$0$	$737280$	$1.394419$	$170676802323/158950$	$1.05066$	$3.59031$	$[1, -1, 0, -41949, -3293845]$	\(y^2+xy=x^3-x^2-41949x-3293845\)	2.3.0.a.1, 264.6.0.?, 1020.6.0.?, 7480.6.0.?, 22440.12.0.?	$[]$
185130.do1	185130ch2	185130.do	185130ch	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 17 \)	\( 2 \cdot 3^{9} \cdot 5^{2} \cdot 11^{7} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$22440$	$12$	$0$	$2.976927316$	$1$		$0$	$2211840$	$1.943726$	$170676802323/158950$	$1.05066$	$4.13379$	$[1, -1, 1, -377543, 89311357]$	\(y^2+xy+y=x^3-x^2-377543x+89311357\)	2.3.0.a.1, 264.6.0.?, 1020.6.0.?, 7480.6.0.?, 22440.12.0.?	$[(2575/2, 82363/2)]$
286110.ct1	286110ct2	286110.ct	286110ct	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17^{2} \)	\( 2 \cdot 3^{9} \cdot 5^{2} \cdot 11 \cdot 17^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$22440$	$12$	$0$	$11.86339041$	$1$		$0$	$5308416$	$2.161385$	$170676802323/158950$	$1.05066$	$4.19845$	$[1, -1, 0, -901734, -329093110]$	\(y^2+xy=x^3-x^2-901734x-329093110\)	2.3.0.a.1, 264.6.0.?, 1020.6.0.?, 7480.6.0.?, 22440.12.0.?	$[(9661415/23, 29877243885/23)]$
286110.eo1	286110eo2	286110.eo	286110eo	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17^{2} \)	\( 2 \cdot 3^{3} \cdot 5^{2} \cdot 11 \cdot 17^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$22440$	$12$	$0$	$1$	$1$		$0$	$1769472$	$1.612078$	$170676802323/158950$	$1.05066$	$3.67380$	$[1, -1, 1, -100193, 12222031]$	\(y^2+xy+y=x^3-x^2-100193x+12222031\)	2.3.0.a.1, 264.6.0.?, 1020.6.0.?, 7480.6.0.?, 22440.12.0.?	$[]$