Elliptic curve search results

Results (5 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
51870.r1	51870r1	51870.r	51870r	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 19 \)	\( 2^{2} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$207480$	$12$	$0$	$1.359339643$	$1$		$7$	$10240$	$-0.078191$	$42180533641/726180$	$0.90106$	$2.25351$	$[1, 1, 0, -72, 204]$	\(y^2+xy=x^3+x^2-72x+204\)	2.3.0.a.1, 56.6.0.c.1, 7410.6.0.?, 207480.12.0.?	$[(5, -2)]$
155610.ds1	155610bk1	155610.ds	155610bk	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \cdot 19 \)	\( 2^{2} \cdot 3^{7} \cdot 5 \cdot 7^{2} \cdot 13 \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$207480$	$12$	$0$	$1$	$1$		$1$	$81920$	$0.471116$	$42180533641/726180$	$0.90106$	$2.59779$	$[1, -1, 1, -653, -6159]$	\(y^2+xy+y=x^3-x^2-653x-6159\)	2.3.0.a.1, 56.6.0.c.1, 7410.6.0.?, 207480.12.0.?	$[]$
259350.fw1	259350fw1	259350.fw	259350fw	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \cdot 19 \)	\( 2^{2} \cdot 3 \cdot 5^{7} \cdot 7^{2} \cdot 13 \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$207480$	$12$	$0$	$1$	$1$		$1$	$245760$	$0.726528$	$42180533641/726180$	$0.90106$	$2.73721$	$[1, 0, 0, -1813, 29117]$	\(y^2+xy=x^3-1813x+29117\)	2.3.0.a.1, 56.6.0.c.1, 7410.6.0.?, 207480.12.0.?	$[]$
363090.cp1	363090cp1	363090.cp	363090cp	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \cdot 19 \)	\( 2^{2} \cdot 3 \cdot 5 \cdot 7^{8} \cdot 13 \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$207480$	$12$	$0$	$5.431102150$	$1$		$3$	$491520$	$0.894764$	$42180533641/726180$	$0.90106$	$2.82296$	$[1, 0, 1, -3554, -80608]$	\(y^2+xy+y=x^3-3554x-80608\)	2.3.0.a.1, 56.6.0.c.1, 7410.6.0.?, 207480.12.0.?	$[(194, 2460)]$
414960.gh1	414960gh1	414960.gh	414960gh	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 19 \)	\( 2^{14} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$207480$	$12$	$0$	$7.347333478$	$1$		$1$	$245760$	$0.614957$	$42180533641/726180$	$0.90106$	$2.53426$	$[0, 1, 0, -1160, -15372]$	\(y^2=x^3+x^2-1160x-15372\)	2.3.0.a.1, 56.6.0.c.1, 7410.6.0.?, 207480.12.0.?	$[(1233/4, 38337/4)]$