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.k2	46410h2	46410.k	46410h	$4$	$4$	\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 17 \)	\( 2^{2} \cdot 3^{2} \cdot 5^{4} \cdot 7^{2} \cdot 13^{2} \cdot 17^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.12.0.1	2Cs	$37128$	$48$	$0$	$0.833886191$	$1$		$14$	$73728$	$0.831679$	$1603626125868649/53847202500$	$0.87766$	$3.25827$	$[1, 1, 0, -2438, 43968]$	\(y^2+xy=x^3+x^2-2438x+43968\)	2.6.0.a.1, 8.12.0-2.a.1.1, 52.12.0-2.a.1.1, 104.24.0.?, 1428.12.0.?, $\ldots$	$[(-2, 222)]$
139230.eg2	139230e2	139230.eg	139230e	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \cdot 17 \)	\( 2^{2} \cdot 3^{8} \cdot 5^{4} \cdot 7^{2} \cdot 13^{2} \cdot 17^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$37128$	$48$	$0$	$2.023518076$	$1$		$6$	$589824$	$1.380985$	$1603626125868649/53847202500$	$0.87766$	$3.51259$	$[1, -1, 1, -21947, -1209081]$	\(y^2+xy+y=x^3-x^2-21947x-1209081\)	2.6.0.a.1, 24.12.0-2.a.1.1, 104.12.0.?, 156.12.0.?, 312.24.0.?, $\ldots$	$[(447, 8616)]$
232050.gi2	232050gi2	232050.gi	232050gi	$4$	$4$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \cdot 17 \)	\( 2^{2} \cdot 3^{2} \cdot 5^{10} \cdot 7^{2} \cdot 13^{2} \cdot 17^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$185640$	$48$	$0$	$1$	$1$		$2$	$1769472$	$1.636398$	$1603626125868649/53847202500$	$0.87766$	$3.61544$	$[1, 0, 0, -60963, 5617917]$	\(y^2+xy=x^3-60963x+5617917\)	2.6.0.a.1, 40.12.0-2.a.1.1, 104.12.0.?, 260.12.0.?, 520.24.0.?, $\ldots$	$[]$
324870.cv2	324870cv2	324870.cv	324870cv	$4$	$4$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \cdot 17 \)	\( 2^{2} \cdot 3^{2} \cdot 5^{4} \cdot 7^{8} \cdot 13^{2} \cdot 17^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$37128$	$48$	$0$	$2.015734894$	$1$		$8$	$3538944$	$1.804634$	$1603626125868649/53847202500$	$0.87766$	$3.67866$	$[1, 0, 1, -119488, -15439462]$	\(y^2+xy+y=x^3-119488x-15439462\)	2.6.0.a.1, 56.12.0-2.a.1.1, 104.12.0.?, 204.12.0.?, 364.12.0.?, $\ldots$	$[(-176, 470)]$
371280.dk2	371280dk2	371280.dk	371280dk	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 17 \)	\( 2^{14} \cdot 3^{2} \cdot 5^{4} \cdot 7^{2} \cdot 13^{2} \cdot 17^{2} \)	$2$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.1	2Cs	$37128$	$48$	$0$	$6.313859630$	$1$		$17$	$1769472$	$1.524826$	$1603626125868649/53847202500$	$0.87766$	$3.37854$	$[0, 1, 0, -39016, -2891980]$	\(y^2=x^3+x^2-39016x-2891980\)	2.6.0.a.1, 8.12.0-2.a.1.1, 52.12.0-2.a.1.1, 104.24.0.?, 1428.12.0.?, $\ldots$	$[(-124, 234), (-116, 294)]$