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.a2	16100i1	16100.a	16100i	$2$	$2$	\( 2^{2} \cdot 5^{2} \cdot 7 \cdot 23 \)	\( - 2^{4} \cdot 5^{9} \cdot 7^{2} \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3220$	$12$	$0$	$1$	$1$		$1$	$14400$	$0.710369$	$1048576/1127$	$0.82898$	$3.21274$	$[0, 1, 0, 667, -5912]$	\(y^2=x^3+x^2+667x-5912\)	2.3.0.a.1, 140.6.0.?, 230.6.0.?, 644.6.0.?, 3220.12.0.?	$[]$
16100.i2	16100h1	16100.i	16100h	$2$	$2$	\( 2^{2} \cdot 5^{2} \cdot 7 \cdot 23 \)	\( - 2^{4} \cdot 5^{3} \cdot 7^{2} \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3220$	$12$	$0$	$1$	$1$		$1$	$2880$	$-0.094350$	$1048576/1127$	$0.82898$	$2.21583$	$[0, -1, 0, 27, -58]$	\(y^2=x^3-x^2+27x-58\)	2.3.0.a.1, 140.6.0.?, 230.6.0.?, 644.6.0.?, 3220.12.0.?	$[]$
64400.h2	64400ci1	64400.h	64400ci	$2$	$2$	\( 2^{4} \cdot 5^{2} \cdot 7 \cdot 23 \)	\( - 2^{4} \cdot 5^{3} \cdot 7^{2} \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3220$	$12$	$0$	$1$	$1$		$1$	$11520$	$-0.094350$	$1048576/1127$	$0.82898$	$1.93842$	$[0, 1, 0, 27, 58]$	\(y^2=x^3+x^2+27x+58\)	2.3.0.a.1, 140.6.0.?, 230.6.0.?, 644.6.0.?, 3220.12.0.?	$[]$
64400.cc2	64400cf1	64400.cc	64400cf	$2$	$2$	\( 2^{4} \cdot 5^{2} \cdot 7 \cdot 23 \)	\( - 2^{4} \cdot 5^{9} \cdot 7^{2} \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3220$	$12$	$0$	$1$	$1$		$1$	$57600$	$0.710369$	$1048576/1127$	$0.82898$	$2.81052$	$[0, -1, 0, 667, 5912]$	\(y^2=x^3-x^2+667x+5912\)	2.3.0.a.1, 140.6.0.?, 230.6.0.?, 644.6.0.?, 3220.12.0.?	$[]$
112700.g2	112700bb1	112700.g	112700bb	$2$	$2$	\( 2^{2} \cdot 5^{2} \cdot 7^{2} \cdot 23 \)	\( - 2^{4} \cdot 5^{3} \cdot 7^{8} \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3220$	$12$	$0$	$0.816492500$	$1$		$9$	$138240$	$0.878605$	$1048576/1127$	$0.82898$	$2.84886$	$[0, 1, 0, 1307, 17268]$	\(y^2=x^3+x^2+1307x+17268\)	2.3.0.a.1, 140.6.0.?, 230.6.0.?, 644.6.0.?, 3220.12.0.?	$[(37, 343)]$
112700.ba2	112700y1	112700.ba	112700y	$2$	$2$	\( 2^{2} \cdot 5^{2} \cdot 7^{2} \cdot 23 \)	\( - 2^{4} \cdot 5^{9} \cdot 7^{8} \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3220$	$12$	$0$	$1$	$9$	$3$	$1$	$691200$	$1.683325$	$1048576/1127$	$0.82898$	$3.67900$	$[0, -1, 0, 32667, 2093162]$	\(y^2=x^3-x^2+32667x+2093162\)	2.3.0.a.1, 140.6.0.?, 230.6.0.?, 644.6.0.?, 3220.12.0.?	$[]$
144900.j2	144900m1	144900.j	144900m	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 \)	\( - 2^{4} \cdot 3^{6} \cdot 5^{3} \cdot 7^{2} \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3220$	$12$	$0$	$1$	$1$		$1$	$69120$	$0.454957$	$1048576/1127$	$0.82898$	$2.36082$	$[0, 0, 0, 240, 1325]$	\(y^2=x^3+240x+1325\)	2.3.0.a.1, 140.6.0.?, 230.6.0.?, 644.6.0.?, 3220.12.0.?	$[]$
144900.bl2	144900c1	144900.bl	144900c	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 \)	\( - 2^{4} \cdot 3^{6} \cdot 5^{9} \cdot 7^{2} \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3220$	$12$	$0$	$1$	$1$		$1$	$345600$	$1.259676$	$1048576/1127$	$0.82898$	$3.17341$	$[0, 0, 0, 6000, 165625]$	\(y^2=x^3+6000x+165625\)	2.3.0.a.1, 140.6.0.?, 230.6.0.?, 644.6.0.?, 3220.12.0.?	$[]$
257600.j2	257600j1	257600.j	257600j	$2$	$2$	\( 2^{6} \cdot 5^{2} \cdot 7 \cdot 23 \)	\( - 2^{10} \cdot 5^{3} \cdot 7^{2} \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3220$	$12$	$0$	$2.006676086$	$1$		$5$	$92160$	$0.252224$	$1048576/1127$	$0.82898$	$2.05654$	$[0, 1, 0, 107, -357]$	\(y^2=x^3+x^2+107x-357\)	2.3.0.a.1, 140.6.0.?, 230.6.0.?, 644.6.0.?, 3220.12.0.?	$[(7, 28)]$
257600.w2	257600w1	257600.w	257600w	$2$	$2$	\( 2^{6} \cdot 5^{2} \cdot 7 \cdot 23 \)	\( - 2^{10} \cdot 5^{9} \cdot 7^{2} \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3220$	$12$	$0$	$1$	$1$		$1$	$460800$	$1.056942$	$1048576/1127$	$0.82898$	$2.83160$	$[0, 1, 0, 2667, 49963]$	\(y^2=x^3+x^2+2667x+49963\)	2.3.0.a.1, 140.6.0.?, 230.6.0.?, 644.6.0.?, 3220.12.0.?	$[]$
257600.fr2	257600fr1	257600.fr	257600fr	$2$	$2$	\( 2^{6} \cdot 5^{2} \cdot 7 \cdot 23 \)	\( - 2^{10} \cdot 5^{9} \cdot 7^{2} \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3220$	$12$	$0$	$13.81267500$	$1$		$1$	$460800$	$1.056942$	$1048576/1127$	$0.82898$	$2.83160$	$[0, -1, 0, 2667, -49963]$	\(y^2=x^3-x^2+2667x-49963\)	2.3.0.a.1, 140.6.0.?, 230.6.0.?, 644.6.0.?, 3220.12.0.?	$[(854701/171, 1141434892/171)]$
257600.fv2	257600fv1	257600.fv	257600fv	$2$	$2$	\( 2^{6} \cdot 5^{2} \cdot 7 \cdot 23 \)	\( - 2^{10} \cdot 5^{3} \cdot 7^{2} \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3220$	$12$	$0$	$1$	$1$		$1$	$92160$	$0.252224$	$1048576/1127$	$0.82898$	$2.05654$	$[0, -1, 0, 107, 357]$	\(y^2=x^3-x^2+107x+357\)	2.3.0.a.1, 140.6.0.?, 230.6.0.?, 644.6.0.?, 3220.12.0.?	$[]$
370300.d2	370300d1	370300.d	370300d	$2$	$2$	\( 2^{2} \cdot 5^{2} \cdot 7 \cdot 23^{2} \)	\( - 2^{4} \cdot 5^{9} \cdot 7^{2} \cdot 23^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3220$	$12$	$0$	$1$	$1$		$1$	$7603200$	$2.278118$	$1048576/1127$	$0.82898$	$3.89434$	$[0, 1, 0, 352667, 74753088]$	\(y^2=x^3+x^2+352667x+74753088\)	2.3.0.a.1, 140.6.0.?, 230.6.0.?, 644.6.0.?, 3220.12.0.?	$[]$
370300.bi2	370300bi1	370300.bi	370300bi	$2$	$2$	\( 2^{2} \cdot 5^{2} \cdot 7 \cdot 23^{2} \)	\( - 2^{4} \cdot 5^{3} \cdot 7^{2} \cdot 23^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3220$	$12$	$0$	$3.013355366$	$1$		$1$	$1520640$	$1.473398$	$1048576/1127$	$0.82898$	$3.14121$	$[0, -1, 0, 14107, 592382]$	\(y^2=x^3-x^2+14107x+592382\)	2.3.0.a.1, 140.6.0.?, 230.6.0.?, 644.6.0.?, 3220.12.0.?	$[(841/4, 77763/4)]$
450800.u2	450800u1	450800.u	450800u	$2$	$2$	\( 2^{4} \cdot 5^{2} \cdot 7^{2} \cdot 23 \)	\( - 2^{4} \cdot 5^{9} \cdot 7^{8} \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3220$	$12$	$0$	$13.77775550$	$1$		$1$	$2764800$	$1.683325$	$1048576/1127$	$0.82898$	$3.28725$	$[0, 1, 0, 32667, -2093162]$	\(y^2=x^3+x^2+32667x-2093162\)	2.3.0.a.1, 140.6.0.?, 230.6.0.?, 644.6.0.?, 3220.12.0.?	$[(7680353/272, 31353851921/272)]$
450800.fl2	450800fl1	450800.fl	450800fl	$2$	$2$	\( 2^{4} \cdot 5^{2} \cdot 7^{2} \cdot 23 \)	\( - 2^{4} \cdot 5^{3} \cdot 7^{8} \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3220$	$12$	$0$	$1$	$1$		$1$	$552960$	$0.878605$	$1048576/1127$	$0.82898$	$2.54550$	$[0, -1, 0, 1307, -17268]$	\(y^2=x^3-x^2+1307x-17268\)	2.3.0.a.1, 140.6.0.?, 230.6.0.?, 644.6.0.?, 3220.12.0.?	$[]$