Elliptic curve search results

Results (10 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
60690.f2	60690l1	60690.f	60690l	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 17^{2} \)	\( - 2^{36} \cdot 3^{4} \cdot 5^{2} \cdot 7^{3} \cdot 17^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2380$	$12$	$0$	$1$	$1$		$1$	$4423680$	$2.754463$	$-9186763300983704416553/47730830553907200$	$1.03413$	$5.36437$	$[1, 1, 0, -7417573, -7813643123]$	\(y^2+xy=x^3+x^2-7417573x-7813643123\)	2.3.0.a.1, 140.6.0.?, 238.6.0.?, 340.6.0.?, 2380.12.0.?	$[]$
60690.bc2	60690bc1	60690.bc	60690bc	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 17^{2} \)	\( - 2^{36} \cdot 3^{4} \cdot 5^{2} \cdot 7^{3} \cdot 17^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2380$	$12$	$0$	$71.01033331$	$1$		$1$	$75202560$	$4.171066$	$-9186763300983704416553/47730830553907200$	$1.03413$	$6.90786$	$[1, 0, 1, -2143678748, -38373422912422]$	\(y^2+xy+y=x^3-2143678748x-38373422912422\)	2.3.0.a.1, 140.6.0.?, 238.6.0.?, 340.6.0.?, 2380.12.0.?	$[(1980524728988499550729616988488646/135020241955957, 78129023372975226329867478151709152201246879257730/135020241955957)]$
182070.bx2	182070bf1	182070.bx	182070bf	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17^{2} \)	\( - 2^{36} \cdot 3^{10} \cdot 5^{2} \cdot 7^{3} \cdot 17^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2380$	$12$	$0$	$1.890775909$	$1$		$7$	$601620480$	$4.720375$	$-9186763300983704416553/47730830553907200$	$1.03413$	$6.82551$	$[1, -1, 1, -19293108728, 1036082418635387]$	\(y^2+xy+y=x^3-x^2-19293108728x+1036082418635387\)	2.3.0.a.1, 140.6.0.?, 238.6.0.?, 340.6.0.?, 2380.12.0.?	$[(85293, 3275113)]$
182070.ee2	182070o1	182070.ee	182070o	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17^{2} \)	\( - 2^{36} \cdot 3^{10} \cdot 5^{2} \cdot 7^{3} \cdot 17^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2380$	$12$	$0$	$0.345528521$	$1$		$11$	$35389440$	$3.303768$	$-9186763300983704416553/47730830553907200$	$1.03413$	$5.42202$	$[1, -1, 1, -66758162, 210901606161]$	\(y^2+xy+y=x^3-x^2-66758162x+210901606161\)	2.3.0.a.1, 140.6.0.?, 238.6.0.?, 340.6.0.?, 2380.12.0.?	$[(-2911, 618351)]$
303450.fm2	303450fm1	303450.fm	303450fm	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 17^{2} \)	\( - 2^{36} \cdot 3^{4} \cdot 5^{8} \cdot 7^{3} \cdot 17^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2380$	$12$	$0$	$6.244664675$	$1$		$3$	$1804861440$	$4.975784$	$-9186763300983704416553/47730830553907200$	$1.03413$	$6.79210$	$[1, 1, 1, -53591968688, -4796677864052719]$	\(y^2+xy+y=x^3+x^2-53591968688x-4796677864052719\)	2.3.0.a.1, 140.6.0.?, 238.6.0.?, 340.6.0.?, 2380.12.0.?	$[(291645, 66035677)]$
303450.fp2	303450fp1	303450.fp	303450fp	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 17^{2} \)	\( - 2^{36} \cdot 3^{4} \cdot 5^{8} \cdot 7^{3} \cdot 17^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2380$	$12$	$0$	$2.559490514$	$1$		$7$	$106168320$	$3.559181$	$-9186763300983704416553/47730830553907200$	$1.03413$	$5.44541$	$[1, 0, 0, -185439338, -976334511708]$	\(y^2+xy=x^3-185439338x-976334511708\)	2.3.0.a.1, 140.6.0.?, 238.6.0.?, 340.6.0.?, 2380.12.0.?	$[(37492, 6672454)]$
424830.bb2	424830bb1	424830.bb	424830bb	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 17^{2} \)	\( - 2^{36} \cdot 3^{4} \cdot 5^{2} \cdot 7^{9} \cdot 17^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2380$	$12$	$0$	$1$	$9$	$3$	$1$	$3609722880$	$5.144028$	$-9186763300983704416553/47730830553907200$	$1.03413$	$6.77154$	$[1, 1, 0, -105040258628, 13161979018702032]$	\(y^2+xy=x^3+x^2-105040258628x+13161979018702032\)	2.3.0.a.1, 140.6.0.?, 238.6.0.?, 340.6.0.?, 2380.12.0.?	$[]$
424830.do2	424830do1	424830.do	424830do	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 17^{2} \)	\( - 2^{36} \cdot 3^{4} \cdot 5^{2} \cdot 7^{9} \cdot 17^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2380$	$12$	$0$	$1$	$1$		$1$	$212336640$	$3.727417$	$-9186763300983704416553/47730830553907200$	$1.03413$	$5.45981$	$[1, 0, 1, -363461103, 2678989207906]$	\(y^2+xy+y=x^3-363461103x+2678989207906\)	2.3.0.a.1, 140.6.0.?, 238.6.0.?, 340.6.0.?, 2380.12.0.?	$[]$
485520.dd2	485520dd1	485520.dd	485520dd	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 17^{2} \)	\( - 2^{48} \cdot 3^{4} \cdot 5^{2} \cdot 7^{3} \cdot 17^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2380$	$12$	$0$	$1$	$1$		$1$	$1804861440$	$4.864220$	$-9186763300983704416553/47730830553907200$	$1.03413$	$6.44603$	$[0, -1, 0, -34298859960, 2455899066394992]$	\(y^2=x^3-x^2-34298859960x+2455899066394992\)	2.3.0.a.1, 140.6.0.?, 238.6.0.?, 340.6.0.?, 2380.12.0.?	$[]$
485520.fm2	485520fm1	485520.fm	485520fm	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 17^{2} \)	\( - 2^{48} \cdot 3^{4} \cdot 5^{2} \cdot 7^{3} \cdot 17^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2380$	$12$	$0$	$7.458513106$	$1$		$1$	$106168320$	$3.447609$	$-9186763300983704416553/47730830553907200$	$1.03413$	$5.14768$	$[0, 1, 0, -118681176, 499835797524]$	\(y^2=x^3+x^2-118681176x+499835797524\)	2.3.0.a.1, 140.6.0.?, 238.6.0.?, 340.6.0.?, 2380.12.0.?	$[(2781/2, 5170125/2)]$