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
4641.d1	4641g1	4641.d	4641g	$2$	$2$	\( 3 \cdot 7 \cdot 13 \cdot 17 \)	\( 3^{5} \cdot 7 \cdot 13 \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$18564$	$12$	$0$	$0.353473160$	$1$		$9$	$2240$	$0.248647$	$10418796526321/6390657$	$0.87866$	$3.55037$	$[1, 0, 0, -455, 3696]$	\(y^2+xy=x^3-455x+3696\)	2.3.0.a.1, 68.6.0.b.1, 546.6.0.?, 18564.12.0.?	$[(-5, 79)]$
13923.k1	13923l1	13923.k	13923l	$2$	$2$	\( 3^{2} \cdot 7 \cdot 13 \cdot 17 \)	\( 3^{11} \cdot 7 \cdot 13 \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$18564$	$12$	$0$	$1$	$4$	$2$	$1$	$17920$	$0.797954$	$10418796526321/6390657$	$0.87866$	$3.83242$	$[1, -1, 0, -4095, -99792]$	\(y^2+xy=x^3-x^2-4095x-99792\)	2.3.0.a.1, 68.6.0.b.1, 546.6.0.?, 18564.12.0.?	$[]$
32487.c1	32487b1	32487.c	32487b	$2$	$2$	\( 3 \cdot 7^{2} \cdot 13 \cdot 17 \)	\( 3^{5} \cdot 7^{7} \cdot 13 \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$18564$	$12$	$0$	$1$	$1$		$1$	$107520$	$1.221601$	$10418796526321/6390657$	$0.87866$	$4.00921$	$[1, 1, 1, -22296, -1290024]$	\(y^2+xy+y=x^3+x^2-22296x-1290024\)	2.3.0.a.1, 68.6.0.b.1, 546.6.0.?, 18564.12.0.?	$[]$
60333.n1	60333l1	60333.n	60333l	$2$	$2$	\( 3 \cdot 7 \cdot 13^{2} \cdot 17 \)	\( 3^{5} \cdot 7 \cdot 13^{7} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$18564$	$12$	$0$	$3.870582201$	$1$		$1$	$376320$	$1.531122$	$10418796526321/6390657$	$0.87866$	$4.12117$	$[1, 0, 1, -76899, 8197009]$	\(y^2+xy+y=x^3-76899x+8197009\)	2.3.0.a.1, 68.6.0.b.1, 546.6.0.?, 18564.12.0.?	$[(203/2, 16623/2)]$
74256.b1	74256bw1	74256.b	74256bw	$2$	$2$	\( 2^{4} \cdot 3 \cdot 7 \cdot 13 \cdot 17 \)	\( 2^{12} \cdot 3^{5} \cdot 7 \cdot 13 \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$18564$	$12$	$0$	$1$	$1$		$1$	$143360$	$0.941794$	$10418796526321/6390657$	$0.87866$	$3.41431$	$[0, -1, 0, -7280, -236544]$	\(y^2=x^3-x^2-7280x-236544\)	2.3.0.a.1, 68.6.0.b.1, 546.6.0.?, 18564.12.0.?	$[]$
78897.d1	78897b1	78897.d	78897b	$2$	$2$	\( 3 \cdot 7 \cdot 13 \cdot 17^{2} \)	\( 3^{5} \cdot 7 \cdot 13 \cdot 17^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$18564$	$12$	$0$	$1$	$4$	$2$	$1$	$645120$	$1.665255$	$10418796526321/6390657$	$0.87866$	$4.16587$	$[1, 1, 1, -131501, 18289946]$	\(y^2+xy+y=x^3+x^2-131501x+18289946\)	2.3.0.a.1, 68.6.0.b.1, 546.6.0.?, 18564.12.0.?	$[]$
97461.p1	97461n1	97461.p	97461n	$2$	$2$	\( 3^{2} \cdot 7^{2} \cdot 13 \cdot 17 \)	\( 3^{11} \cdot 7^{7} \cdot 13 \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$18564$	$12$	$0$	$1$	$1$		$1$	$860160$	$1.770908$	$10418796526321/6390657$	$0.87866$	$4.19961$	$[1, -1, 0, -200664, 34629979]$	\(y^2+xy=x^3-x^2-200664x+34629979\)	2.3.0.a.1, 68.6.0.b.1, 546.6.0.?, 18564.12.0.?	$[]$
116025.bh1	116025c1	116025.bh	116025c	$2$	$2$	\( 3 \cdot 5^{2} \cdot 7 \cdot 13 \cdot 17 \)	\( 3^{5} \cdot 5^{6} \cdot 7 \cdot 13 \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$18564$	$12$	$0$	$4.241135706$	$1$		$3$	$179200$	$1.053366$	$10418796526321/6390657$	$0.87866$	$3.39845$	$[1, 1, 0, -11375, 462000]$	\(y^2+xy=x^3+x^2-11375x+462000\)	2.3.0.a.1, 68.6.0.b.1, 546.6.0.?, 18564.12.0.?	$[(96, 468)]$
180999.d1	180999d1	180999.d	180999d	$2$	$2$	\( 3^{2} \cdot 7 \cdot 13^{2} \cdot 17 \)	\( 3^{11} \cdot 7 \cdot 13^{7} \cdot 17^{2} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$18564$	$12$	$0$	$8.213724818$	$1$		$11$	$3010560$	$2.080429$	$10418796526321/6390657$	$0.87866$	$4.29167$	$[1, -1, 1, -692087, -221319250]$	\(y^2+xy+y=x^3-x^2-692087x-221319250\)	2.3.0.a.1, 68.6.0.b.1, 546.6.0.?, 18564.12.0.?	$[(-483, 565), (-488, 82)]$
222768.fz1	222768cl1	222768.fz	222768cl	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 13 \cdot 17 \)	\( 2^{12} \cdot 3^{11} \cdot 7 \cdot 13 \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$18564$	$12$	$0$	$1$	$1$		$1$	$1146880$	$1.491100$	$10418796526321/6390657$	$0.87866$	$3.64500$	$[0, 0, 0, -65523, 6452210]$	\(y^2=x^3-65523x+6452210\)	2.3.0.a.1, 68.6.0.b.1, 546.6.0.?, 18564.12.0.?	$[]$
236691.o1	236691o1	236691.o	236691o	$2$	$2$	\( 3^{2} \cdot 7 \cdot 13 \cdot 17^{2} \)	\( 3^{11} \cdot 7 \cdot 13 \cdot 17^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$18564$	$12$	$0$	$7.662831129$	$1$		$3$	$5160960$	$2.214561$	$10418796526321/6390657$	$0.87866$	$4.32870$	$[1, -1, 0, -1183509, -495012056]$	\(y^2+xy=x^3-x^2-1183509x-495012056\)	2.3.0.a.1, 68.6.0.b.1, 546.6.0.?, 18564.12.0.?	$[(1500, 32462)]$
297024.dw1	297024dw1	297024.dw	297024dw	$2$	$2$	\( 2^{6} \cdot 3 \cdot 7 \cdot 13 \cdot 17 \)	\( 2^{18} \cdot 3^{5} \cdot 7 \cdot 13 \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$18564$	$12$	$0$	$7.079426775$	$1$		$1$	$1146880$	$1.288368$	$10418796526321/6390657$	$0.87866$	$3.36873$	$[0, -1, 0, -29121, 1921473]$	\(y^2=x^3-x^2-29121x+1921473\)	2.3.0.a.1, 68.6.0.b.1, 546.6.0.?, 18564.12.0.?	$[(10169/5, 945472/5)]$
297024.hr1	297024hr1	297024.hr	297024hr	$2$	$2$	\( 2^{6} \cdot 3 \cdot 7 \cdot 13 \cdot 17 \)	\( 2^{18} \cdot 3^{5} \cdot 7 \cdot 13 \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$18564$	$12$	$0$	$1$	$1$		$1$	$1146880$	$1.288368$	$10418796526321/6390657$	$0.87866$	$3.36873$	$[0, 1, 0, -29121, -1921473]$	\(y^2=x^3+x^2-29121x-1921473\)	2.3.0.a.1, 68.6.0.b.1, 546.6.0.?, 18564.12.0.?	$[]$
348075.n1	348075n1	348075.n	348075n	$2$	$2$	\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \cdot 17 \)	\( 3^{11} \cdot 5^{6} \cdot 7 \cdot 13 \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$18564$	$12$	$0$	$9.929914961$	$1$		$1$	$1433600$	$1.602673$	$10418796526321/6390657$	$0.87866$	$3.62244$	$[1, -1, 1, -102380, -12576378]$	\(y^2+xy+y=x^3-x^2-102380x-12576378\)	2.3.0.a.1, 68.6.0.b.1, 546.6.0.?, 18564.12.0.?	$[(15924/5, 1638733/5)]$
422331.bj1	422331bj1	422331.bj	422331bj	$2$	$2$	\( 3 \cdot 7^{2} \cdot 13^{2} \cdot 17 \)	\( 3^{5} \cdot 7^{7} \cdot 13^{7} \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$18564$	$12$	$0$	$1$	$1$		$1$	$18063360$	$2.504078$	$10418796526321/6390657$	$0.87866$	$4.40341$	$[1, 1, 0, -3768027, -2815342200]$	\(y^2+xy=x^3+x^2-3768027x-2815342200\)	2.3.0.a.1, 68.6.0.b.1, 546.6.0.?, 18564.12.0.?	$[]$