Elliptic curve search results

Results (4 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
66990.bg6	66990bf2	66990.bg	66990bf	$8$	$12$	\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 29 \)	\( 2^{2} \cdot 3^{12} \cdot 5^{4} \cdot 7^{6} \cdot 11^{6} \cdot 29^{2} \)	$0$	$\Z/2\Z\oplus\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2, 3$	8.12.0.1, 3.8.0.1	2Cs, 3B.1.1	$53592$	$384$	$5$	$1$	$1$		$10$	$9732096$	$3.185337$	$670340013887004175017226729/232881726498686518522500$	$1.04707$	$5.55869$	$[1, 0, 1, -18232959, 18943242046]$	\(y^2+xy+y=x^3-18232959x+18943242046\)	2.6.0.a.1, 3.8.0-3.a.1.2, 6.48.0-6.a.1.1, 8.12.0-2.a.1.1, 24.96.0-24.o.1.15, $\ldots$	$[]$
200970.eo6	200970g2	200970.eo	200970g	$8$	$12$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \cdot 29 \)	\( 2^{2} \cdot 3^{18} \cdot 5^{4} \cdot 7^{6} \cdot 11^{6} \cdot 29^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.6.0.1, 3.8.0.2	2Cs, 3B.1.2	$53592$	$384$	$5$	$1$	$4$	$2$	$2$	$77856768$	$3.734646$	$670340013887004175017226729/232881726498686518522500$	$1.04707$	$5.59839$	$[1, -1, 1, -164096627, -511467535249]$	\(y^2+xy+y=x^3-x^2-164096627x-511467535249\)	2.6.0.a.1, 3.8.0-3.a.1.1, 6.48.0-6.a.1.2, 24.96.0-24.o.1.31, 88.12.0.?, $\ldots$	$[]$
334950.do6	334950do2	334950.do	334950do	$8$	$12$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \cdot 29 \)	\( 2^{2} \cdot 3^{12} \cdot 5^{10} \cdot 7^{6} \cdot 11^{6} \cdot 29^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.6.0.1, 3.4.0.1	2Cs, 3B	$267960$	$384$	$5$	$12.38907797$	$1$		$4$	$233570304$	$3.990059$	$670340013887004175017226729/232881726498686518522500$	$1.04707$	$5.61452$	$[1, 1, 1, -455823963, 2367905255781]$	\(y^2+xy+y=x^3+x^2-455823963x+2367905255781\)	2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 15.8.0-3.a.1.2, 24.48.0.o.1, $\ldots$	$[(1118621415, 37412626774292)]$
468930.bu6	468930bu2	468930.bu	468930bu	$8$	$12$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \cdot 29 \)	\( 2^{2} \cdot 3^{12} \cdot 5^{4} \cdot 7^{12} \cdot 11^{6} \cdot 29^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.6.0.1, 3.4.0.1	2Cs, 3B	$53592$	$384$	$5$	$1$	$1$		$2$	$467140608$	$4.158295$	$670340013887004175017226729/232881726498686518522500$	$1.04707$	$5.62445$	$[1, 1, 0, -893414967, -6498425436831]$	\(y^2+xy=x^3+x^2-893414967x-6498425436831\)	2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 21.8.0-3.a.1.1, 24.48.0.o.1, $\ldots$	$[]$