Elliptic curve search results

Results (9 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
10005.l2	10005g1	10005.l	10005g	$2$	$2$	\( 3 \cdot 5 \cdot 23 \cdot 29 \)	\( - 3^{12} \cdot 5^{4} \cdot 23 \cdot 29^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$2668$	$12$	$0$	$5.337461116$	$1$		$1$	$33024$	$1.181652$	$-33974761330806841/6424789539375$	$0.91815$	$4.16326$	$[1, 1, 0, -6747, -248544]$	\(y^2+xy=x^3+x^2-6747x-248544\)	2.3.0.a.1, 46.6.0.a.1, 116.6.0.?, 2668.12.0.?	$[(2957/4, 135171/4)]$
30015.c2	30015b1	30015.c	30015b	$2$	$2$	\( 3^{2} \cdot 5 \cdot 23 \cdot 29 \)	\( - 3^{18} \cdot 5^{4} \cdot 23 \cdot 29^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2668$	$12$	$0$	$1.570657597$	$1$		$7$	$264192$	$1.730959$	$-33974761330806841/6424789539375$	$0.91815$	$4.35899$	$[1, -1, 1, -60728, 6649962]$	\(y^2+xy+y=x^3-x^2-60728x+6649962\)	2.3.0.a.1, 46.6.0.a.1, 116.6.0.?, 2668.12.0.?	$[(-202, 3363)]$
50025.d2	50025n1	50025.d	50025n	$2$	$2$	\( 3 \cdot 5^{2} \cdot 23 \cdot 29 \)	\( - 3^{12} \cdot 5^{10} \cdot 23 \cdot 29^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2668$	$12$	$0$	$1$	$1$		$1$	$792576$	$1.986372$	$-33974761330806841/6424789539375$	$0.91815$	$4.43646$	$[1, 0, 0, -168688, -30730633]$	\(y^2+xy=x^3-168688x-30730633\)	2.3.0.a.1, 46.6.0.a.1, 116.6.0.?, 2668.12.0.?	$[]$
150075.bh2	150075bh1	150075.bh	150075bh	$2$	$2$	\( 3^{2} \cdot 5^{2} \cdot 23 \cdot 29 \)	\( - 3^{18} \cdot 5^{10} \cdot 23 \cdot 29^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2668$	$12$	$0$	$1$	$1$		$1$	$6340608$	$2.535679$	$-33974761330806841/6424789539375$	$0.91815$	$4.58058$	$[1, -1, 0, -1518192, 829727091]$	\(y^2+xy=x^3-x^2-1518192x+829727091\)	2.3.0.a.1, 46.6.0.a.1, 116.6.0.?, 2668.12.0.?	$[]$
160080.ce2	160080a1	160080.ce	160080a	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 23 \cdot 29 \)	\( - 2^{12} \cdot 3^{12} \cdot 5^{4} \cdot 23 \cdot 29^{2} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2668$	$12$	$0$	$0.386843649$	$1$		$39$	$2113536$	$1.874800$	$-33974761330806841/6424789539375$	$0.91815$	$3.89412$	$[0, 1, 0, -107960, 15690900]$	\(y^2=x^3+x^2-107960x+15690900\)	2.3.0.a.1, 46.6.0.a.1, 116.6.0.?, 2668.12.0.?	$[(100, 2430), (-170, 5400)]$
230115.v2	230115v1	230115.v	230115v	$2$	$2$	\( 3 \cdot 5 \cdot 23^{2} \cdot 29 \)	\( - 3^{12} \cdot 5^{4} \cdot 23^{7} \cdot 29^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2668$	$12$	$0$	$1$	$1$		$1$	$17436672$	$2.749401$	$-33974761330806841/6424789539375$	$0.91815$	$4.62972$	$[1, 1, 0, -3569438, 2988341343]$	\(y^2+xy=x^3+x^2-3569438x+2988341343\)	2.3.0.a.1, 46.6.0.a.1, 116.6.0.?, 2668.12.0.?	$[]$
290145.j2	290145j1	290145.j	290145j	$2$	$2$	\( 3 \cdot 5 \cdot 23 \cdot 29^{2} \)	\( - 3^{12} \cdot 5^{4} \cdot 23 \cdot 29^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2668$	$12$	$0$	$1$	$1$		$1$	$27740160$	$2.865299$	$-33974761330806841/6424789539375$	$0.91815$	$4.65498$	$[1, 0, 0, -5674665, -5993645400]$	\(y^2+xy=x^3-5674665x-5993645400\)	2.3.0.a.1, 46.6.0.a.1, 116.6.0.?, 2668.12.0.?	$[]$
480240.f2	480240f1	480240.f	480240f	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 23 \cdot 29 \)	\( - 2^{12} \cdot 3^{18} \cdot 5^{4} \cdot 23 \cdot 29^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2668$	$12$	$0$	$5.526193757$	$1$		$1$	$16908288$	$2.424107$	$-33974761330806841/6424789539375$	$0.91815$	$4.07097$	$[0, 0, 0, -971643, -424625942]$	\(y^2=x^3-971643x-424625942\)	2.3.0.a.1, 46.6.0.a.1, 116.6.0.?, 2668.12.0.?	$[(21781/3, 2882600/3)]$
490245.bu2	490245bu1	490245.bu	490245bu	$2$	$2$	\( 3 \cdot 5 \cdot 7^{2} \cdot 23 \cdot 29 \)	\( - 3^{12} \cdot 5^{4} \cdot 7^{6} \cdot 23 \cdot 29^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2668$	$12$	$0$	$1$	$1$		$1$	$9510912$	$2.154606$	$-33974761330806841/6424789539375$	$0.91815$	$3.81774$	$[1, 0, 1, -330629, 84258731]$	\(y^2+xy+y=x^3-330629x+84258731\)	2.3.0.a.1, 46.6.0.a.1, 116.6.0.?, 2668.12.0.?	$[]$