Elliptic curve search results

Results (16 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
16100.a1	16100i2	16100.a	16100i	$2$	$2$	\( 2^{2} \cdot 5^{2} \cdot 7 \cdot 23 \)	\( 2^{8} \cdot 5^{9} \cdot 7 \cdot 23^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3220$	$12$	$0$	$1$	$1$		$1$	$28800$	$1.056942$	$11279504/3703$	$0.72865$	$3.74421$	$[0, 1, 0, -3708, -58412]$	\(y^2=x^3+x^2-3708x-58412\)	2.3.0.a.1, 140.6.0.?, 460.6.0.?, 644.6.0.?, 3220.12.0.?	$[]$
16100.i1	16100h2	16100.i	16100h	$2$	$2$	\( 2^{2} \cdot 5^{2} \cdot 7 \cdot 23 \)	\( 2^{8} \cdot 5^{3} \cdot 7 \cdot 23^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3220$	$12$	$0$	$1$	$1$		$1$	$5760$	$0.252224$	$11279504/3703$	$0.72865$	$2.74731$	$[0, -1, 0, -148, -408]$	\(y^2=x^3-x^2-148x-408\)	2.3.0.a.1, 140.6.0.?, 460.6.0.?, 644.6.0.?, 3220.12.0.?	$[]$
64400.h1	64400ci2	64400.h	64400ci	$2$	$2$	\( 2^{4} \cdot 5^{2} \cdot 7 \cdot 23 \)	\( 2^{8} \cdot 5^{3} \cdot 7 \cdot 23^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3220$	$12$	$0$	$1$	$1$		$1$	$23040$	$0.252224$	$11279504/3703$	$0.72865$	$2.40335$	$[0, 1, 0, -148, 408]$	\(y^2=x^3+x^2-148x+408\)	2.3.0.a.1, 140.6.0.?, 460.6.0.?, 644.6.0.?, 3220.12.0.?	$[]$
64400.cc1	64400cf2	64400.cc	64400cf	$2$	$2$	\( 2^{4} \cdot 5^{2} \cdot 7 \cdot 23 \)	\( 2^{8} \cdot 5^{9} \cdot 7 \cdot 23^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3220$	$12$	$0$	$1$	$1$		$1$	$115200$	$1.056942$	$11279504/3703$	$0.72865$	$3.27545$	$[0, -1, 0, -3708, 58412]$	\(y^2=x^3-x^2-3708x+58412\)	2.3.0.a.1, 140.6.0.?, 460.6.0.?, 644.6.0.?, 3220.12.0.?	$[]$
112700.g1	112700bb2	112700.g	112700bb	$2$	$2$	\( 2^{2} \cdot 5^{2} \cdot 7^{2} \cdot 23 \)	\( 2^{8} \cdot 5^{3} \cdot 7^{7} \cdot 23^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3220$	$12$	$0$	$0.408246250$	$1$		$11$	$276480$	$1.225180$	$11279504/3703$	$0.72865$	$3.29142$	$[0, 1, 0, -7268, 154468]$	\(y^2=x^3+x^2-7268x+154468\)	2.3.0.a.1, 140.6.0.?, 460.6.0.?, 644.6.0.?, 3220.12.0.?	$[(-12, 490)]$
112700.ba1	112700y2	112700.ba	112700y	$2$	$2$	\( 2^{2} \cdot 5^{2} \cdot 7^{2} \cdot 23 \)	\( 2^{8} \cdot 5^{9} \cdot 7^{7} \cdot 23^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3220$	$12$	$0$	$1$	$9$	$3$	$1$	$1382400$	$2.029900$	$11279504/3703$	$0.72865$	$4.12157$	$[0, -1, 0, -181708, 19671912]$	\(y^2=x^3-x^2-181708x+19671912\)	2.3.0.a.1, 140.6.0.?, 460.6.0.?, 644.6.0.?, 3220.12.0.?	$[]$
144900.j1	144900m2	144900.j	144900m	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 \)	\( 2^{8} \cdot 3^{6} \cdot 5^{3} \cdot 7 \cdot 23^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3220$	$12$	$0$	$1$	$1$		$1$	$138240$	$0.801530$	$11279504/3703$	$0.72865$	$2.79403$	$[0, 0, 0, -1335, 12350]$	\(y^2=x^3-1335x+12350\)	2.3.0.a.1, 140.6.0.?, 460.6.0.?, 644.6.0.?, 3220.12.0.?	$[]$
144900.bl1	144900c2	144900.bl	144900c	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 \)	\( 2^{8} \cdot 3^{6} \cdot 5^{9} \cdot 7 \cdot 23^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3220$	$12$	$0$	$1$	$1$		$1$	$691200$	$1.606249$	$11279504/3703$	$0.72865$	$3.60662$	$[0, 0, 0, -33375, 1543750]$	\(y^2=x^3-33375x+1543750\)	2.3.0.a.1, 140.6.0.?, 460.6.0.?, 644.6.0.?, 3220.12.0.?	$[]$
257600.j1	257600j2	257600.j	257600j	$2$	$2$	\( 2^{6} \cdot 5^{2} \cdot 7 \cdot 23 \)	\( 2^{14} \cdot 5^{3} \cdot 7 \cdot 23^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3220$	$12$	$0$	$1.003338043$	$1$		$7$	$184320$	$0.598798$	$11279504/3703$	$0.72865$	$2.46974$	$[0, 1, 0, -593, -3857]$	\(y^2=x^3+x^2-593x-3857\)	2.3.0.a.1, 140.6.0.?, 460.6.0.?, 644.6.0.?, 3220.12.0.?	$[(-17, 40)]$
257600.w1	257600w2	257600.w	257600w	$2$	$2$	\( 2^{6} \cdot 5^{2} \cdot 7 \cdot 23 \)	\( 2^{14} \cdot 5^{9} \cdot 7 \cdot 23^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3220$	$12$	$0$	$1$	$1$		$1$	$921600$	$1.403517$	$11279504/3703$	$0.72865$	$3.24480$	$[0, 1, 0, -14833, 452463]$	\(y^2=x^3+x^2-14833x+452463\)	2.3.0.a.1, 140.6.0.?, 460.6.0.?, 644.6.0.?, 3220.12.0.?	$[]$
257600.fr1	257600fr2	257600.fr	257600fr	$2$	$2$	\( 2^{6} \cdot 5^{2} \cdot 7 \cdot 23 \)	\( 2^{14} \cdot 5^{9} \cdot 7 \cdot 23^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3220$	$12$	$0$	$6.906337503$	$1$		$1$	$921600$	$1.403517$	$11279504/3703$	$0.72865$	$3.24480$	$[0, -1, 0, -14833, -452463]$	\(y^2=x^3-x^2-14833x-452463\)	2.3.0.a.1, 140.6.0.?, 460.6.0.?, 644.6.0.?, 3220.12.0.?	$[(13933/9, 1045304/9)]$
257600.fv1	257600fv2	257600.fv	257600fv	$2$	$2$	\( 2^{6} \cdot 5^{2} \cdot 7 \cdot 23 \)	\( 2^{14} \cdot 5^{3} \cdot 7 \cdot 23^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3220$	$12$	$0$	$1$	$1$		$1$	$184320$	$0.598798$	$11279504/3703$	$0.72865$	$2.46974$	$[0, -1, 0, -593, 3857]$	\(y^2=x^3-x^2-593x+3857\)	2.3.0.a.1, 140.6.0.?, 460.6.0.?, 644.6.0.?, 3220.12.0.?	$[]$
370300.d1	370300d2	370300.d	370300d	$2$	$2$	\( 2^{2} \cdot 5^{2} \cdot 7 \cdot 23^{2} \)	\( 2^{8} \cdot 5^{9} \cdot 7 \cdot 23^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3220$	$12$	$0$	$1$	$1$		$1$	$15206400$	$2.624691$	$11279504/3703$	$0.72865$	$4.29584$	$[0, 1, 0, -1961708, 695005588]$	\(y^2=x^3+x^2-1961708x+695005588\)	2.3.0.a.1, 140.6.0.?, 460.6.0.?, 644.6.0.?, 3220.12.0.?	$[]$
370300.bi1	370300bi2	370300.bi	370300bi	$2$	$2$	\( 2^{2} \cdot 5^{2} \cdot 7 \cdot 23^{2} \)	\( 2^{8} \cdot 5^{3} \cdot 7 \cdot 23^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3220$	$12$	$0$	$6.026710732$	$1$		$1$	$3041280$	$1.819971$	$11279504/3703$	$0.72865$	$3.54272$	$[0, -1, 0, -78468, 5591432]$	\(y^2=x^3-x^2-78468x+5591432\)	2.3.0.a.1, 140.6.0.?, 460.6.0.?, 644.6.0.?, 3220.12.0.?	$[(-12787/7, 983940/7)]$
450800.u1	450800u2	450800.u	450800u	$2$	$2$	\( 2^{4} \cdot 5^{2} \cdot 7^{2} \cdot 23 \)	\( 2^{8} \cdot 5^{9} \cdot 7^{7} \cdot 23^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3220$	$12$	$0$	$6.888877752$	$1$		$1$	$5529600$	$2.029900$	$11279504/3703$	$0.72865$	$3.68269$	$[0, 1, 0, -181708, -19671912]$	\(y^2=x^3+x^2-181708x-19671912\)	2.3.0.a.1, 140.6.0.?, 460.6.0.?, 644.6.0.?, 3220.12.0.?	$[(39041/8, 5038817/8)]$
450800.fl1	450800fl2	450800.fl	450800fl	$2$	$2$	\( 2^{4} \cdot 5^{2} \cdot 7^{2} \cdot 23 \)	\( 2^{8} \cdot 5^{3} \cdot 7^{7} \cdot 23^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3220$	$12$	$0$	$1$	$1$		$1$	$1105920$	$1.225180$	$11279504/3703$	$0.72865$	$2.94094$	$[0, -1, 0, -7268, -154468]$	\(y^2=x^3-x^2-7268x-154468\)	2.3.0.a.1, 140.6.0.?, 460.6.0.?, 644.6.0.?, 3220.12.0.?	$[]$