Elliptic curve search results

Results (12 matches)

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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	Manin constant
11109.g2	11109c1	11109.g	11109c	$2$	$2$	\( 3 \cdot 7 \cdot 23^{2} \)	\( - 3^{8} \cdot 7^{4} \cdot 23^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.83	2B	$7728$	$192$	$9$	$1.569687103$	$1$		$5$	$8448$	$0.845845$	$1349232625/15752961$	$0.98873$	$3.58358$	$[1, 0, 1, 529, -20491]$	\(y^2+xy+y=x^3+529x-20491\)	2.3.0.a.1, 4.12.0.f.1, 8.24.0.bt.1, 46.6.0.a.1, 48.48.1.fv.1, $\ldots$	$[(69, 553)]$	$1$
11109.h2	11109g1	11109.h	11109g	$2$	$2$	\( 3 \cdot 7 \cdot 23^{2} \)	\( - 3^{8} \cdot 7^{4} \cdot 23^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.83	2B	$7728$	$192$	$9$	$1$	$1$		$1$	$194304$	$2.413593$	$1349232625/15752961$	$0.98873$	$5.60311$	$[1, 0, 1, 280094, 249871151]$	\(y^2+xy+y=x^3+280094x+249871151\)	2.3.0.a.1, 4.12.0.f.1, 8.24.0.bt.1, 46.6.0.a.1, 48.48.1.fv.1, $\ldots$	$[ ]$	$1$
33327.f2	33327i1	33327.f	33327i	$2$	$2$	\( 3^{2} \cdot 7 \cdot 23^{2} \)	\( - 3^{14} \cdot 7^{4} \cdot 23^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.83	2B	$7728$	$192$	$9$	$1.817425615$	$1$		$7$	$67584$	$1.395151$	$1349232625/15752961$	$0.98873$	$3.83850$	$[1, -1, 1, 4765, 553250]$	\(y^2+xy+y=x^3-x^2+4765x+553250\)	2.3.0.a.1, 4.12.0.f.1, 8.24.0.bt.1, 46.6.0.a.1, 48.48.1.fv.1, $\ldots$	$[(-60, 250)]$	$1$
33327.g2	33327o1	33327.g	33327o	$2$	$2$	\( 3^{2} \cdot 7 \cdot 23^{2} \)	\( - 3^{14} \cdot 7^{4} \cdot 23^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.83	2B	$7728$	$192$	$9$	$1$	$1$		$1$	$1554432$	$2.962898$	$1349232625/15752961$	$0.98873$	$5.64498$	$[1, -1, 1, 2520850, -6746521084]$	\(y^2+xy+y=x^3-x^2+2520850x-6746521084\)	2.3.0.a.1, 4.12.0.f.1, 8.24.0.bt.1, 46.6.0.a.1, 48.48.1.fv.1, $\ldots$	$[ ]$	$1$
77763.u2	77763e1	77763.u	77763e	$2$	$2$	\( 3 \cdot 7^{2} \cdot 23^{2} \)	\( - 3^{8} \cdot 7^{10} \cdot 23^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.83	2B	$7728$	$192$	$9$	$9.343336019$	$1$		$1$	$405504$	$1.818800$	$1349232625/15752961$	$0.98873$	$4.00113$	$[1, 1, 0, 25945, 7054272]$	\(y^2+xy=x^3+x^2+25945x+7054272\)	2.3.0.a.1, 4.12.0.f.1, 8.24.0.bt.1, 46.6.0.a.1, 48.48.1.fv.1, $\ldots$	$[(11788/13, 6590618/13)]$	$1$
77763.v2	77763d1	77763.v	77763d	$2$	$2$	\( 3 \cdot 7^{2} \cdot 23^{2} \)	\( - 3^{8} \cdot 7^{10} \cdot 23^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.83	2B	$7728$	$192$	$9$	$83.89466869$	$1$		$1$	$9326592$	$3.386547$	$1349232625/15752961$	$0.98873$	$5.67169$	$[1, 1, 0, 13724630, -85692080249]$	\(y^2+xy=x^3+x^2+13724630x-85692080249\)	2.3.0.a.1, 4.12.0.f.1, 8.24.0.bt.1, 46.6.0.a.1, 48.48.1.fv.1, $\ldots$	$[(259529918854823903565996420441292824978/118815828355714787, 4221422070920661418183729486845110492654077832360060321693/118815828355714787)]$	$1$
177744.v2	177744bx1	177744.v	177744bx	$2$	$2$	\( 2^{4} \cdot 3 \cdot 7 \cdot 23^{2} \)	\( - 2^{12} \cdot 3^{8} \cdot 7^{4} \cdot 23^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.83	2B	$7728$	$192$	$9$	$13.16752773$	$1$		$3$	$12435456$	$3.106739$	$1349232625/15752961$	$0.98873$	$5.00605$	$[0, -1, 0, 4481512, -15991753680]$	\(y^2=x^3-x^2+4481512x-15991753680\)	2.3.0.a.1, 4.12.0.f.1, 8.24.0.bt.1, 46.6.0.a.1, 48.48.1.fv.1, $\ldots$	$[(2090908, 3023448008)]$	$1$
177744.y2	177744bs1	177744.y	177744bs	$2$	$2$	\( 2^{4} \cdot 3 \cdot 7 \cdot 23^{2} \)	\( - 2^{12} \cdot 3^{8} \cdot 7^{4} \cdot 23^{3} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.83	2B	$7728$	$192$	$9$	$1.965695536$	$1$		$17$	$540672$	$1.538992$	$1349232625/15752961$	$0.98873$	$3.44973$	$[0, -1, 0, 8472, 1311408]$	\(y^2=x^3-x^2+8472x+1311408\)	2.3.0.a.1, 4.12.0.f.1, 8.24.0.bt.1, 46.6.0.a.1, 48.48.1.fv.1, $\ldots$	$[(-38, 966), (-3, 1134)]$	$1$
233289.m2	233289m1	233289.m	233289m	$2$	$2$	\( 3^{2} \cdot 7^{2} \cdot 23^{2} \)	\( - 3^{14} \cdot 7^{10} \cdot 23^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.83	2B	$7728$	$192$	$9$	$1$	$1$		$1$	$3244032$	$2.368107$	$1349232625/15752961$	$0.98873$	$4.17879$	$[1, -1, 1, 233500, -190231842]$	\(y^2+xy+y=x^3-x^2+233500x-190231842\)	2.3.0.a.1, 4.12.0.f.1, 8.24.0.bt.1, 46.6.0.a.1, 48.48.1.fv.1, $\ldots$	$[ ]$	$1$
233289.n2	233289n1	233289.n	233289n	$2$	$2$	\( 3^{2} \cdot 7^{2} \cdot 23^{2} \)	\( - 3^{14} \cdot 7^{10} \cdot 23^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.83	2B	$7728$	$192$	$9$	$1$	$9$	$3$	$1$	$74612736$	$3.935852$	$1349232625/15752961$	$0.98873$	$5.70088$	$[1, -1, 1, 123521665, 2313809688390]$	\(y^2+xy+y=x^3-x^2+123521665x+2313809688390\)	2.3.0.a.1, 4.12.0.f.1, 8.24.0.bt.1, 46.6.0.a.1, 48.48.1.fv.1, $\ldots$	$[ ]$	$1$
277725.m2	277725m1	277725.m	277725m	$2$	$2$	\( 3 \cdot 5^{2} \cdot 7 \cdot 23^{2} \)	\( - 3^{8} \cdot 5^{6} \cdot 7^{4} \cdot 23^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.83	2B	$7728$	$192$	$9$	$1$	$1$		$1$	$27979776$	$3.218311$	$1349232625/15752961$	$0.98873$	$4.93463$	$[1, 1, 1, 7002362, 31233893906]$	\(y^2+xy+y=x^3+x^2+7002362x+31233893906\)	2.3.0.a.1, 4.12.0.f.1, 8.24.0.bt.1, 46.6.0.a.1, 48.48.1.fv.1, $\ldots$	$[ ]$	$1$
277725.q2	277725q1	277725.q	277725q	$2$	$2$	\( 3 \cdot 5^{2} \cdot 7 \cdot 23^{2} \)	\( - 3^{8} \cdot 5^{6} \cdot 7^{4} \cdot 23^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.83	2B	$7728$	$192$	$9$	$2.600215301$	$1$		$3$	$1216512$	$1.650564$	$1349232625/15752961$	$0.98873$	$3.43372$	$[1, 1, 1, 13237, -2561344]$	\(y^2+xy+y=x^3+x^2+13237x-2561344\)	2.3.0.a.1, 4.12.0.f.1, 8.24.0.bt.1, 46.6.0.a.1, 48.48.1.fv.1, $\ldots$	$[(429, 8857)]$	$1$

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