Elliptic curve search results

Results (16 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
8050.b1	8050m2	8050.b	8050m	$2$	$3$	\( 2 \cdot 5^{2} \cdot 7 \cdot 23 \)	\( - 2^{9} \cdot 5^{8} \cdot 7 \cdot 23^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.8.0.2	3B.1.2	$3864$	$16$	$0$	$6.228780729$	$1$		$0$	$25920$	$1.226744$	$-17455277065/43606528$	$0.88816$	$4.23968$	$[1, 0, 1, -3951, -220702]$	\(y^2+xy+y=x^3-3951x-220702\)	3.8.0-3.a.1.1, 1288.2.0.?, 3864.16.0.?	$[(327/2, 197/2)]$
8050.u1	8050o2	8050.u	8050o	$2$	$3$	\( 2 \cdot 5^{2} \cdot 7 \cdot 23 \)	\( - 2^{9} \cdot 5^{2} \cdot 7 \cdot 23^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$19320$	$16$	$0$	$0.475963790$	$1$		$4$	$5184$	$0.422025$	$-17455277065/43606528$	$0.88816$	$3.16594$	$[1, 1, 1, -158, -1829]$	\(y^2+xy+y=x^3+x^2-158x-1829\)	3.4.0.a.1, 15.8.0-3.a.1.1, 1288.2.0.?, 3864.8.0.?, 19320.16.0.?	$[(29, 123)]$
56350.v1	56350x2	56350.v	56350x	$2$	$3$	\( 2 \cdot 5^{2} \cdot 7^{2} \cdot 23 \)	\( - 2^{9} \cdot 5^{8} \cdot 7^{7} \cdot 23^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$3864$	$16$	$0$	$4.278766029$	$1$		$2$	$1244160$	$2.199699$	$-17455277065/43606528$	$0.88816$	$4.55281$	$[1, 1, 0, -193575, 75507125]$	\(y^2+xy=x^3+x^2-193575x+75507125\)	3.4.0.a.1, 21.8.0-3.a.1.2, 552.8.0.?, 1288.2.0.?, 3864.16.0.?	$[(185, 6695)]$
56350.bb1	56350br2	56350.bb	56350br	$2$	$3$	\( 2 \cdot 5^{2} \cdot 7^{2} \cdot 23 \)	\( - 2^{9} \cdot 5^{2} \cdot 7^{7} \cdot 23^{3} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$19320$	$16$	$0$	$0.181552845$	$1$		$22$	$248832$	$1.394979$	$-17455277065/43606528$	$0.88816$	$3.67007$	$[1, 0, 0, -7743, 604057]$	\(y^2+xy=x^3-7743x+604057\)	3.4.0.a.1, 105.8.0.?, 1288.2.0.?, 2760.8.0.?, 3864.8.0.?, $\ldots$	$[(438, 8797), (-566/3, 25643/3)]$
64400.l1	64400bu2	64400.l	64400bu	$2$	$3$	\( 2^{4} \cdot 5^{2} \cdot 7 \cdot 23 \)	\( - 2^{21} \cdot 5^{2} \cdot 7 \cdot 23^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$19320$	$16$	$0$	$3.759940536$	$1$		$2$	$124416$	$1.115171$	$-17455277065/43606528$	$0.88816$	$3.32257$	$[0, 1, 0, -2528, 111988]$	\(y^2=x^3+x^2-2528x+111988\)	3.4.0.a.1, 60.8.0-3.a.1.1, 1288.2.0.?, 3864.8.0.?, 19320.16.0.?	$[(-28, 402)]$
64400.cf1	64400cg2	64400.cf	64400cg	$2$	$3$	\( 2^{4} \cdot 5^{2} \cdot 7 \cdot 23 \)	\( - 2^{21} \cdot 5^{8} \cdot 7 \cdot 23^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$3864$	$16$	$0$	$1$	$1$		$0$	$622080$	$1.919891$	$-17455277065/43606528$	$0.88816$	$4.19467$	$[0, -1, 0, -63208, 14124912]$	\(y^2=x^3-x^2-63208x+14124912\)	3.4.0.a.1, 12.8.0-3.a.1.2, 1288.2.0.?, 3864.16.0.?	$[]$
72450.bf1	72450bc2	72450.bf	72450bc	$2$	$3$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 \)	\( - 2^{9} \cdot 3^{6} \cdot 5^{2} \cdot 7 \cdot 23^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$19320$	$16$	$0$	$1$	$1$		$0$	$124416$	$0.971331$	$-17455277065/43606528$	$0.88816$	$3.13336$	$[1, -1, 0, -1422, 47956]$	\(y^2+xy=x^3-x^2-1422x+47956\)	3.4.0.a.1, 15.8.0-3.a.1.2, 1288.2.0.?, 3864.8.0.?, 19320.16.0.?	$[]$
72450.fb1	72450fb2	72450.fb	72450fb	$2$	$3$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 \)	\( - 2^{9} \cdot 3^{6} \cdot 5^{8} \cdot 7 \cdot 23^{3} \)	$0$	$\Z/3\Z$	$\Q$		$\mathrm{SU}(2)$			$3$	3.8.0.1	3B.1.1	$3864$	$16$	$0$	$1$	$1$		$2$	$622080$	$1.776051$	$-17455277065/43606528$	$0.88816$	$3.99628$	$[1, -1, 1, -35555, 5958947]$	\(y^2+xy+y=x^3-x^2-35555x+5958947\)	3.8.0-3.a.1.2, 1288.2.0.?, 3864.16.0.?	$[]$
185150.a1	185150bn2	185150.a	185150bn	$2$	$3$	\( 2 \cdot 5^{2} \cdot 7 \cdot 23^{2} \)	\( - 2^{9} \cdot 5^{8} \cdot 7 \cdot 23^{9} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$3864$	$16$	$0$	$4.661079748$	$1$		$2$	$13685760$	$2.794491$	$-17455277065/43606528$	$0.88816$	$4.69475$	$[1, 0, 1, -2089826, 2681098548]$	\(y^2+xy+y=x^3-2089826x+2681098548\)	3.4.0.a.1, 69.8.0-3.a.1.1, 168.8.0.?, 1288.2.0.?, 3864.16.0.?	$[(1608, 58179)]$
185150.cq1	185150bk2	185150.cq	185150bk	$2$	$3$	\( 2 \cdot 5^{2} \cdot 7 \cdot 23^{2} \)	\( - 2^{9} \cdot 5^{2} \cdot 7 \cdot 23^{9} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$19320$	$16$	$0$	$1$	$1$		$0$	$2737152$	$1.989771$	$-17455277065/43606528$	$0.88816$	$3.89859$	$[1, 1, 1, -83593, 21415351]$	\(y^2+xy+y=x^3+x^2-83593x+21415351\)	3.4.0.a.1, 345.8.0.?, 840.8.0.?, 1288.2.0.?, 3864.8.0.?, $\ldots$	$[]$
257600.h1	257600h2	257600.h	257600h	$2$	$3$	\( 2^{6} \cdot 5^{2} \cdot 7 \cdot 23 \)	\( - 2^{27} \cdot 5^{8} \cdot 7 \cdot 23^{3} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$3864$	$16$	$0$	$1.041671152$	$1$		$12$	$4976640$	$2.266464$	$-17455277065/43606528$	$0.88816$	$4.06175$	$[0, 1, 0, -252833, 112746463]$	\(y^2=x^3+x^2-252833x+112746463\)	3.4.0.a.1, 24.8.0-3.a.1.3, 966.8.0.?, 1288.2.0.?, 3864.16.0.?	$[(583, 12800), (-441, 11776)]$
257600.ba1	257600ba2	257600.ba	257600ba	$2$	$3$	\( 2^{6} \cdot 5^{2} \cdot 7 \cdot 23 \)	\( - 2^{27} \cdot 5^{2} \cdot 7 \cdot 23^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$19320$	$16$	$0$	$1$	$1$		$0$	$995328$	$1.461746$	$-17455277065/43606528$	$0.88816$	$3.28668$	$[0, 1, 0, -10113, -906017]$	\(y^2=x^3+x^2-10113x-906017\)	3.4.0.a.1, 120.8.0.?, 1288.2.0.?, 3864.8.0.?, 9660.8.0.?, $\ldots$	$[]$
257600.fi1	257600fi2	257600.fi	257600fi	$2$	$3$	\( 2^{6} \cdot 5^{2} \cdot 7 \cdot 23 \)	\( - 2^{27} \cdot 5^{2} \cdot 7 \cdot 23^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$19320$	$16$	$0$	$10.19505841$	$1$		$0$	$995328$	$1.461746$	$-17455277065/43606528$	$0.88816$	$3.28668$	$[0, -1, 0, -10113, 906017]$	\(y^2=x^3-x^2-10113x+906017\)	3.4.0.a.1, 120.8.0.?, 1288.2.0.?, 3864.8.0.?, 4830.8.0.?, $\ldots$	$[(16472/13, 2009697/13)]$
257600.ga1	257600ga2	257600.ga	257600ga	$2$	$3$	\( 2^{6} \cdot 5^{2} \cdot 7 \cdot 23 \)	\( - 2^{27} \cdot 5^{8} \cdot 7 \cdot 23^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$3864$	$16$	$0$	$24.53882477$	$1$		$0$	$4976640$	$2.266464$	$-17455277065/43606528$	$0.88816$	$4.06175$	$[0, -1, 0, -252833, -112746463]$	\(y^2=x^3-x^2-252833x-112746463\)	3.4.0.a.1, 24.8.0-3.a.1.1, 1288.2.0.?, 1932.8.0.?, 3864.16.0.?	$[(67200184699/8155, 13959196576902732/8155)]$
450800.bv1	450800bv2	450800.bv	450800bv	$2$	$3$	\( 2^{4} \cdot 5^{2} \cdot 7^{2} \cdot 23 \)	\( - 2^{21} \cdot 5^{8} \cdot 7^{7} \cdot 23^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$3864$	$16$	$0$	$0.871346494$	$1$		$4$	$29859840$	$2.892845$	$-17455277065/43606528$	$0.88816$	$4.46451$	$[0, 1, 0, -3097208, -4838650412]$	\(y^2=x^3+x^2-3097208x-4838650412\)	3.4.0.a.1, 84.8.0.?, 552.8.0.?, 1288.2.0.?, 3864.16.0.?	$[(2508, 56350)]$
450800.gy1	450800gy2	450800.gy	450800gy	$2$	$3$	\( 2^{4} \cdot 5^{2} \cdot 7^{2} \cdot 23 \)	\( - 2^{21} \cdot 5^{2} \cdot 7^{7} \cdot 23^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$19320$	$16$	$0$	$27.21498967$	$1$		$0$	$5971968$	$2.088127$	$-17455277065/43606528$	$0.88816$	$3.72277$	$[0, -1, 0, -123888, -38659648]$	\(y^2=x^3-x^2-123888x-38659648\)	3.4.0.a.1, 420.8.0.?, 1288.2.0.?, 2760.8.0.?, 3864.8.0.?, $\ldots$	$[(1301294952242/8663, 1484089128747335622/8663)]$