Elliptic curve search results

Results (8 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
131040.a2	131040br1	131040.a	131040br	$2$	$2$	\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \)	\( 2^{6} \cdot 3^{3} \cdot 5 \cdot 7 \cdot 13^{2} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5460$	$12$	$0$	$3.851749517$	$1$		$9$	$28672$	$0.127051$	$229220928/5915$	$0.77429$	$2.26634$	$[0, 0, 0, -153, -712]$	\(y^2=x^3-153x-712\)	2.3.0.a.1, 156.6.0.?, 210.6.0.?, 1820.6.0.?, 5460.12.0.?	$[(-7, 4), (17, 40)]$
131040.cj2	131040bq1	131040.cj	131040bq	$2$	$2$	\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \)	\( 2^{6} \cdot 3^{3} \cdot 5 \cdot 7 \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5460$	$12$	$0$	$1.682184934$	$1$		$5$	$28672$	$0.127051$	$229220928/5915$	$0.77429$	$2.26634$	$[0, 0, 0, -153, 712]$	\(y^2=x^3-153x+712\)	2.3.0.a.1, 156.6.0.?, 210.6.0.?, 1820.6.0.?, 5460.12.0.?	$[(9, 8)]$
131040.df2	131040ea1	131040.df	131040ea	$2$	$2$	\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \)	\( 2^{6} \cdot 3^{9} \cdot 5 \cdot 7 \cdot 13^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5460$	$12$	$0$	$1$	$1$		$1$	$86016$	$0.676357$	$229220928/5915$	$0.77429$	$2.82575$	$[0, 0, 0, -1377, 19224]$	\(y^2=x^3-1377x+19224\)	2.3.0.a.1, 156.6.0.?, 210.6.0.?, 1820.6.0.?, 5460.12.0.?	$[]$
131040.dj2	131040du1	131040.dj	131040du	$2$	$2$	\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \)	\( 2^{6} \cdot 3^{9} \cdot 5 \cdot 7 \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5460$	$12$	$0$	$4.314792670$	$1$		$3$	$86016$	$0.676357$	$229220928/5915$	$0.77429$	$2.82575$	$[0, 0, 0, -1377, -19224]$	\(y^2=x^3-1377x-19224\)	2.3.0.a.1, 156.6.0.?, 210.6.0.?, 1820.6.0.?, 5460.12.0.?	$[(-95/2, 73/2)]$
262080.g1	262080g2	262080.g	262080g	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \)	\( 2^{12} \cdot 3^{9} \cdot 5 \cdot 7 \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5460$	$12$	$0$	$1.625998143$	$1$		$5$	$344064$	$1.022930$	$229220928/5915$	$0.77429$	$3.00210$	$[0, 0, 0, -5508, 153792]$	\(y^2=x^3-5508x+153792\)	2.3.0.a.1, 156.6.0.?, 210.6.0.?, 1820.6.0.?, 5460.12.0.?	$[(-6, 432)]$
262080.hb1	262080hb2	262080.hb	262080hb	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \)	\( 2^{12} \cdot 3^{9} \cdot 5 \cdot 7 \cdot 13^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5460$	$12$	$0$	$1$	$1$		$1$	$344064$	$1.022930$	$229220928/5915$	$0.77429$	$3.00210$	$[0, 0, 0, -5508, -153792]$	\(y^2=x^3-5508x-153792\)	2.3.0.a.1, 156.6.0.?, 210.6.0.?, 1820.6.0.?, 5460.12.0.?	$[]$
262080.kh1	262080kh2	262080.kh	262080kh	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \)	\( 2^{12} \cdot 3^{3} \cdot 5 \cdot 7 \cdot 13^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5460$	$12$	$0$	$1$	$1$		$1$	$114688$	$0.473624$	$229220928/5915$	$0.77429$	$2.47377$	$[0, 0, 0, -612, -5696]$	\(y^2=x^3-612x-5696\)	2.3.0.a.1, 156.6.0.?, 210.6.0.?, 1820.6.0.?, 5460.12.0.?	$[]$
262080.kl1	262080kl2	262080.kl	262080kl	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \)	\( 2^{12} \cdot 3^{3} \cdot 5 \cdot 7 \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5460$	$12$	$0$	$1.100603519$	$1$		$5$	$114688$	$0.473624$	$229220928/5915$	$0.77429$	$2.47377$	$[0, 0, 0, -612, 5696]$	\(y^2=x^3-612x+5696\)	2.3.0.a.1, 156.6.0.?, 210.6.0.?, 1820.6.0.?, 5460.12.0.?	$[(10, 24)]$