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.l1	10005g2	10005.l	10005g	$2$	$2$	\( 3 \cdot 5 \cdot 23 \cdot 29 \)	\( 3^{6} \cdot 5^{8} \cdot 23^{2} \cdot 29 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$2668$	$12$	$0$	$2.668730558$	$1$		$2$	$66048$	$1.528225$	$157264717208387436361/4368589453125$	$0.95575$	$5.04888$	$[1, 1, 0, -112452, -14561001]$	\(y^2+xy=x^3+x^2-112452x-14561001\)	2.3.0.a.1, 58.6.0.a.1, 92.6.0.?, 2668.12.0.?	$[(1338, 46581)]$
30015.c1	30015b2	30015.c	30015b	$2$	$2$	\( 3^{2} \cdot 5 \cdot 23 \cdot 29 \)	\( 3^{12} \cdot 5^{8} \cdot 23^{2} \cdot 29 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2668$	$12$	$0$	$3.141315194$	$1$		$4$	$528384$	$2.077534$	$157264717208387436361/4368589453125$	$0.95575$	$5.15024$	$[1, -1, 1, -1012073, 392134956]$	\(y^2+xy+y=x^3-x^2-1012073x+392134956\)	2.3.0.a.1, 58.6.0.a.1, 92.6.0.?, 2668.12.0.?	$[(573, 35)]$
50025.d1	50025n2	50025.d	50025n	$2$	$2$	\( 3 \cdot 5^{2} \cdot 23 \cdot 29 \)	\( 3^{6} \cdot 5^{14} \cdot 23^{2} \cdot 29 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2668$	$12$	$0$	$1$	$1$		$0$	$1585152$	$2.332943$	$157264717208387436361/4368589453125$	$0.95575$	$5.19036$	$[1, 0, 0, -2811313, -1814502508]$	\(y^2+xy=x^3-2811313x-1814502508\)	2.3.0.a.1, 58.6.0.a.1, 92.6.0.?, 2668.12.0.?	$[]$
150075.bh1	150075bh2	150075.bh	150075bh	$2$	$2$	\( 3^{2} \cdot 5^{2} \cdot 23 \cdot 29 \)	\( 3^{12} \cdot 5^{14} \cdot 23^{2} \cdot 29 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2668$	$12$	$0$	$1$	$1$		$0$	$12681216$	$2.882252$	$157264717208387436361/4368589453125$	$0.95575$	$5.26498$	$[1, -1, 0, -25301817, 48991567716]$	\(y^2+xy=x^3-x^2-25301817x+48991567716\)	2.3.0.a.1, 58.6.0.a.1, 92.6.0.?, 2668.12.0.?	$[]$
160080.ce1	160080a2	160080.ce	160080a	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 23 \cdot 29 \)	\( 2^{12} \cdot 3^{6} \cdot 5^{8} \cdot 23^{2} \cdot 29 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2668$	$12$	$0$	$0.386843649$	$1$		$35$	$4227072$	$2.221375$	$157264717208387436361/4368589453125$	$0.95575$	$4.57484$	$[0, 1, 0, -1799240, 928305588]$	\(y^2=x^3+x^2-1799240x+928305588\)	2.3.0.a.1, 58.6.0.a.1, 92.6.0.?, 2668.12.0.?	$[(646, 6000), (766, 360)]$
230115.v1	230115v2	230115.v	230115v	$2$	$2$	\( 3 \cdot 5 \cdot 23^{2} \cdot 29 \)	\( 3^{6} \cdot 5^{8} \cdot 23^{8} \cdot 29 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2668$	$12$	$0$	$1$	$1$		$0$	$34873344$	$3.095974$	$157264717208387436361/4368589453125$	$0.95575$	$5.29043$	$[1, 1, 0, -59487383, 176568826212]$	\(y^2+xy=x^3+x^2-59487383x+176568826212\)	2.3.0.a.1, 58.6.0.a.1, 92.6.0.?, 2668.12.0.?	$[]$
290145.j1	290145j2	290145.j	290145j	$2$	$2$	\( 3 \cdot 5 \cdot 23 \cdot 29^{2} \)	\( 3^{6} \cdot 5^{8} \cdot 23^{2} \cdot 29^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2668$	$12$	$0$	$1$	$1$		$0$	$55480320$	$3.211872$	$157264717208387436361/4368589453125$	$0.95575$	$5.30351$	$[1, 0, 0, -94572570, -353993384313]$	\(y^2+xy=x^3-94572570x-353993384313\)	2.3.0.a.1, 58.6.0.a.1, 92.6.0.?, 2668.12.0.?	$[]$
480240.f1	480240f2	480240.f	480240f	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 23 \cdot 29 \)	\( 2^{12} \cdot 3^{12} \cdot 5^{8} \cdot 23^{2} \cdot 29 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2668$	$12$	$0$	$11.05238751$	$1$		$1$	$33816576$	$2.770679$	$157264717208387436361/4368589453125$	$0.95575$	$4.69452$	$[0, 0, 0, -16193163, -25080444038]$	\(y^2=x^3-16193163x-25080444038\)	2.3.0.a.1, 58.6.0.a.1, 92.6.0.?, 2668.12.0.?	$[(2130151/21, 897883750/21)]$
490245.bu1	490245bu2	490245.bu	490245bu	$2$	$2$	\( 3 \cdot 5 \cdot 7^{2} \cdot 23 \cdot 29 \)	\( 3^{6} \cdot 5^{8} \cdot 7^{6} \cdot 23^{2} \cdot 29 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2668$	$12$	$0$	$1$	$1$		$0$	$19021824$	$2.501183$	$157264717208387436361/4368589453125$	$0.95575$	$4.44031$	$[1, 0, 1, -5510174, 4977892847]$	\(y^2+xy+y=x^3-5510174x+4977892847\)	2.3.0.a.1, 58.6.0.a.1, 92.6.0.?, 2668.12.0.?	$[]$