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
19074.e1	19074c2	19074.e	19074c	$2$	$2$	\( 2 \cdot 3 \cdot 11 \cdot 17^{2} \)	\( 2 \cdot 3^{6} \cdot 11^{2} \cdot 17^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$1$	$4$	$2$	$0$	$208896$	$1.834278$	$529475129/176418$	$0.91652$	$4.62520$	$[1, 1, 0, -82804, -6008090]$	\(y^2+xy=x^3+x^2-82804x-6008090\)	2.3.0.a.1, 136.6.0.?, 264.6.0.?, 2244.6.0.?, 4488.12.0.?	$[]$
19074.f1	19074i2	19074.f	19074i	$2$	$2$	\( 2 \cdot 3 \cdot 11 \cdot 17^{2} \)	\( 2 \cdot 3^{6} \cdot 11^{2} \cdot 17^{3} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$0.758367355$	$1$		$16$	$12288$	$0.417672$	$529475129/176418$	$0.91652$	$2.90045$	$[1, 0, 1, -287, -1240]$	\(y^2+xy+y=x^3-287x-1240\)	2.3.0.a.1, 136.6.0.?, 264.6.0.?, 2244.6.0.?, 4488.12.0.?	$[(-6, 19), (-12, 28)]$
57222.bk1	57222bj2	57222.bk	57222bj	$2$	$2$	\( 2 \cdot 3^{2} \cdot 11 \cdot 17^{2} \)	\( 2 \cdot 3^{12} \cdot 11^{2} \cdot 17^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$11.56637442$	$1$		$0$	$1671168$	$2.383583$	$529475129/176418$	$0.91652$	$4.76307$	$[1, -1, 1, -745241, 161473191]$	\(y^2+xy+y=x^3-x^2-745241x+161473191\)	2.3.0.a.1, 136.6.0.?, 264.6.0.?, 2244.6.0.?, 4488.12.0.?	$[(837611/34, 33987225/34)]$
57222.br1	57222bs2	57222.br	57222bs	$2$	$2$	\( 2 \cdot 3^{2} \cdot 11 \cdot 17^{2} \)	\( 2 \cdot 3^{12} \cdot 11^{2} \cdot 17^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$1$	$1$		$0$	$98304$	$0.966978$	$529475129/176418$	$0.91652$	$3.21129$	$[1, -1, 1, -2579, 33473]$	\(y^2+xy+y=x^3-x^2-2579x+33473\)	2.3.0.a.1, 136.6.0.?, 264.6.0.?, 2244.6.0.?, 4488.12.0.?	$[]$
152592.q1	152592bu2	152592.q	152592bu	$2$	$2$	\( 2^{4} \cdot 3 \cdot 11 \cdot 17^{2} \)	\( 2^{13} \cdot 3^{6} \cdot 11^{2} \cdot 17^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$2.382995475$	$1$		$5$	$294912$	$1.110819$	$529475129/176418$	$0.91652$	$3.09201$	$[0, -1, 0, -4584, 79344]$	\(y^2=x^3-x^2-4584x+79344\)	2.3.0.a.1, 136.6.0.?, 264.6.0.?, 2244.6.0.?, 4488.12.0.?	$[(74, 374)]$
152592.cu1	152592x2	152592.cu	152592x	$2$	$2$	\( 2^{4} \cdot 3 \cdot 11 \cdot 17^{2} \)	\( 2^{13} \cdot 3^{6} \cdot 11^{2} \cdot 17^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$3.791521816$	$1$		$5$	$5013504$	$2.527428$	$529475129/176418$	$0.91652$	$4.51627$	$[0, 1, 0, -1324872, 381868020]$	\(y^2=x^3+x^2-1324872x+381868020\)	2.3.0.a.1, 136.6.0.?, 264.6.0.?, 2244.6.0.?, 4488.12.0.?	$[(1260, 26730)]$
209814.ck1	209814bd2	209814.ck	209814bd	$2$	$2$	\( 2 \cdot 3 \cdot 11^{2} \cdot 17^{2} \)	\( 2 \cdot 3^{6} \cdot 11^{8} \cdot 17^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$25.24115089$	$1$		$0$	$25067520$	$3.033226$	$529475129/176418$	$0.91652$	$4.89422$	$[1, 1, 1, -10019347, 7946671151]$	\(y^2+xy+y=x^3+x^2-10019347x+7946671151\)	2.3.0.a.1, 136.6.0.?, 264.6.0.?, 2244.6.0.?, 4488.12.0.?	$[(5222200283867/3994, 11922879577228612269/3994)]$
209814.da1	209814h2	209814.da	209814h	$2$	$2$	\( 2 \cdot 3 \cdot 11^{2} \cdot 17^{2} \)	\( 2 \cdot 3^{6} \cdot 11^{8} \cdot 17^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$1$	$1$		$0$	$1474560$	$1.616619$	$529475129/176418$	$0.91652$	$3.50698$	$[1, 0, 0, -34669, 1615439]$	\(y^2+xy=x^3-34669x+1615439\)	2.3.0.a.1, 136.6.0.?, 264.6.0.?, 2244.6.0.?, 4488.12.0.?	$[]$
457776.v1	457776v2	457776.v	457776v	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 17^{2} \)	\( 2^{13} \cdot 3^{12} \cdot 11^{2} \cdot 17^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$1$	$1$		$1$	$40108032$	$3.076733$	$529475129/176418$	$0.91652$	$4.64133$	$[0, 0, 0, -11923851, -10322360390]$	\(y^2=x^3-11923851x-10322360390\)	2.3.0.a.1, 136.6.0.?, 264.6.0.?, 2244.6.0.?, 4488.12.0.?	$[]$
457776.ff1	457776ff2	457776.ff	457776ff	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 17^{2} \)	\( 2^{13} \cdot 3^{12} \cdot 11^{2} \cdot 17^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$2.326350282$	$1$		$5$	$2359296$	$1.660126$	$529475129/176418$	$0.91652$	$3.33712$	$[0, 0, 0, -41259, -2101030]$	\(y^2=x^3-41259x-2101030\)	2.3.0.a.1, 136.6.0.?, 264.6.0.?, 2244.6.0.?, 4488.12.0.?	$[(-137, 990)]$
476850.hx1	476850hx2	476850.hx	476850hx	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17^{2} \)	\( 2 \cdot 3^{6} \cdot 5^{6} \cdot 11^{2} \cdot 17^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$1$	$1$		$0$	$1572864$	$1.222391$	$529475129/176418$	$0.91652$	$2.92496$	$[1, 1, 1, -7163, -154969]$	\(y^2+xy+y=x^3+x^2-7163x-154969\)	2.3.0.a.1, 136.6.0.?, 264.6.0.?, 2244.6.0.?, 4488.12.0.?	$[]$
476850.ih1	476850ih2	476850.ih	476850ih	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17^{2} \)	\( 2 \cdot 3^{6} \cdot 5^{6} \cdot 11^{2} \cdot 17^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$1$	$1$		$0$	$26738688$	$2.638996$	$529475129/176418$	$0.91652$	$4.22510$	$[1, 0, 0, -2070113, -746871033]$	\(y^2+xy=x^3-2070113x-746871033\)	2.3.0.a.1, 136.6.0.?, 264.6.0.?, 2244.6.0.?, 4488.12.0.?	$[]$