Elliptic curve search results

Results (6 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
43890.ct6	43890ct2	43890.ct	43890ct	$8$	$12$	\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 19 \)	\( 2^{12} \cdot 3^{6} \cdot 5^{2} \cdot 7^{2} \cdot 11^{6} \cdot 19^{2} \)	$0$	$\Z/2\Z\oplus\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2, 3$	2.6.0.1, 3.8.0.1	2Cs, 3B.1.1	$87780$	$384$	$5$	$1$	$1$		$10$	$995328$	$2.314022$	$110358600993178429667329/2339305154932838400$	$0.96670$	$4.96359$	$[1, 0, 0, -999296, 377303040]$	\(y^2+xy=x^3-999296x+377303040\)	2.6.0.a.1, 3.8.0-3.a.1.2, 6.48.0-6.a.1.1, 28.12.0-2.a.1.1, 84.96.0.?, $\ldots$	$[]$
131670.cj6	131670cp2	131670.cj	131670cp	$8$	$12$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \cdot 19 \)	\( 2^{12} \cdot 3^{12} \cdot 5^{2} \cdot 7^{2} \cdot 11^{6} \cdot 19^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.6.0.1, 3.8.0.2	2Cs, 3B.1.2	$87780$	$384$	$5$	$7.563455537$	$1$		$2$	$7962624$	$2.863331$	$110358600993178429667329/2339305154932838400$	$0.96670$	$5.06018$	$[1, -1, 0, -8993664, -10187182080]$	\(y^2+xy=x^3-x^2-8993664x-10187182080\)	2.6.0.a.1, 3.8.0-3.a.1.1, 6.48.0-6.a.1.2, 76.12.0.?, 84.96.0.?, $\ldots$	$[(59751/2, 14225247/2)]$
219450.s6	219450hb2	219450.s	219450hb	$8$	$12$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \cdot 19 \)	\( 2^{12} \cdot 3^{6} \cdot 5^{8} \cdot 7^{2} \cdot 11^{6} \cdot 19^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.6.0.1, 3.4.0.1	2Cs, 3B	$87780$	$384$	$5$	$1.241558564$	$1$		$12$	$23887872$	$3.118744$	$110358600993178429667329/2339305154932838400$	$0.96670$	$5.09922$	$[1, 1, 0, -24982400, 47162880000]$	\(y^2+xy=x^3+x^2-24982400x+47162880000\)	2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 15.8.0-3.a.1.2, 30.48.0-6.a.1.1, $\ldots$	$[(3865, 89505)]$
307230.gd6	307230gd2	307230.gd	307230gd	$8$	$12$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \cdot 19 \)	\( 2^{12} \cdot 3^{6} \cdot 5^{2} \cdot 7^{8} \cdot 11^{6} \cdot 19^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.12.0.1, 3.4.0.1	2Cs, 3B	$87780$	$384$	$5$	$1.338817661$	$1$		$14$	$47775744$	$3.286980$	$110358600993178429667329/2339305154932838400$	$0.96670$	$5.12320$	$[1, 1, 1, -48965505, -129463908225]$	\(y^2+xy+y=x^3+x^2-48965505x-129463908225\)	2.6.0.a.1, 3.4.0.a.1, 4.12.0-2.a.1.1, 6.24.0.a.1, 12.48.0-6.a.1.1, $\ldots$	$[(-4257, 45248)]$
351120.e6	351120e2	351120.e	351120e	$8$	$12$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 19 \)	\( 2^{24} \cdot 3^{6} \cdot 5^{2} \cdot 7^{2} \cdot 11^{6} \cdot 19^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.6.0.1, 3.4.0.1	2Cs, 3B	$87780$	$384$	$5$	$1$	$4$	$2$	$3$	$23887872$	$3.007172$	$110358600993178429667329/2339305154932838400$	$0.96670$	$4.80667$	$[0, -1, 0, -15988736, -24147394560]$	\(y^2=x^3-x^2-15988736x-24147394560\)	2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 12.48.0-6.a.1.2, 28.12.0-2.a.1.1, $\ldots$	$[]$
482790.cc6	482790cc2	482790.cc	482790cc	$8$	$12$	\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11^{2} \cdot 19 \)	\( 2^{12} \cdot 3^{6} \cdot 5^{2} \cdot 7^{2} \cdot 11^{12} \cdot 19^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.6.0.1, 3.4.0.1	2Cs, 3B	$87780$	$384$	$5$	$3.824351257$	$1$		$8$	$119439360$	$3.512970$	$110358600993178429667329/2339305154932838400$	$0.96670$	$5.15348$	$[1, 0, 1, -120914819, -502311261058]$	\(y^2+xy+y=x^3-120914819x-502311261058\)	2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 20.12.0-2.a.1.1, 33.8.0-3.a.1.2, $\ldots$	$[(-5844, 71749)]$