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
46410.b3	46410c1	46410.b	46410c	$4$	$4$	\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 17 \)	\( 2^{12} \cdot 3^{7} \cdot 5^{4} \cdot 7 \cdot 13 \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	4.6.0.1	2B	$185640$	$48$	$0$	$1$	$4$	$2$	$1$	$172032$	$1.476433$	$39613077168432499369/8661219840000$	$0.93332$	$4.19959$	$[1, 1, 0, -71018, -7312812]$	\(y^2+xy=x^3+x^2-71018x-7312812\)	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 40.12.0-4.c.1.4, 120.24.0.?, $\ldots$	$[]$
139230.dv3	139230p1	139230.dv	139230p	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \cdot 17 \)	\( 2^{12} \cdot 3^{13} \cdot 5^{4} \cdot 7 \cdot 13 \cdot 17 \)	$0$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.7	2B	$185640$	$48$	$0$	$1$	$1$		$3$	$1376256$	$2.025738$	$39613077168432499369/8661219840000$	$0.93332$	$4.36659$	$[1, -1, 1, -639167, 196806759]$	\(y^2+xy+y=x^3-x^2-639167x+196806759\)	2.3.0.a.1, 4.12.0-4.c.1.1, 120.24.0.?, 9282.6.0.?, 18564.24.0.?, $\ldots$	$[]$
232050.hf3	232050hf1	232050.hf	232050hf	$4$	$4$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \cdot 17 \)	\( 2^{12} \cdot 3^{7} \cdot 5^{10} \cdot 7 \cdot 13 \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.12	2B	$185640$	$48$	$0$	$1.563123800$	$1$		$7$	$4128768$	$2.281151$	$39613077168432499369/8661219840000$	$0.93332$	$4.43412$	$[1, 0, 0, -1775463, -910550583]$	\(y^2+xy=x^3-1775463x-910550583\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 60.12.0-4.c.1.2, 120.24.0.?, $\ldots$	$[(-762, 597)]$
324870.cs3	324870cs1	324870.cs	324870cs	$4$	$4$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \cdot 17 \)	\( 2^{12} \cdot 3^{7} \cdot 5^{4} \cdot 7^{7} \cdot 13 \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$185640$	$48$	$0$	$0.523565656$	$1$		$9$	$8257536$	$2.449387$	$39613077168432499369/8661219840000$	$0.93332$	$4.47564$	$[1, 0, 1, -3479908, 2497854818]$	\(y^2+xy+y=x^3-3479908x+2497854818\)	2.3.0.a.1, 4.6.0.c.1, 84.12.0.?, 120.12.0.?, 280.12.0.?, $\ldots$	$[(1054, 575)]$
371280.eq3	371280eq1	371280.eq	371280eq	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 17 \)	\( 2^{24} \cdot 3^{7} \cdot 5^{4} \cdot 7 \cdot 13 \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$185640$	$48$	$0$	$1.905620075$	$1$		$5$	$4128768$	$2.169579$	$39613077168432499369/8661219840000$	$0.93332$	$4.16722$	$[0, 1, 0, -1136296, 465747380]$	\(y^2=x^3+x^2-1136296x+465747380\)	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 40.12.0-4.c.1.4, 120.24.0.?, $\ldots$	$[(647, 1350)]$