Elliptic curve search results

Results (12 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
6699.c3	6699a1	6699.c	6699a	$4$	$4$	\( 3 \cdot 7 \cdot 11 \cdot 29 \)	\( 3^{3} \cdot 7 \cdot 11^{4} \cdot 29 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	4.6.0.1	2B	$53592$	$48$	$0$	$6.548206615$	$1$		$1$	$1536$	$0.233298$	$408023180713/80247321$	$0.84673$	$3.03467$	$[1, 1, 0, -154, -665]$	\(y^2+xy=x^3+x^2-154x-665\)	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 88.12.0.?, 264.24.0.?, $\ldots$	$[(-615/8, -895/8)]$
20097.c3	20097j1	20097.c	20097j	$4$	$4$	\( 3^{2} \cdot 7 \cdot 11 \cdot 29 \)	\( 3^{9} \cdot 7 \cdot 11^{4} \cdot 29 \)	$0$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.7	2B	$53592$	$48$	$0$	$1$	$1$		$3$	$12288$	$0.782604$	$408023180713/80247321$	$0.84673$	$3.36346$	$[1, -1, 1, -1391, 16566]$	\(y^2+xy+y=x^3-x^2-1391x+16566\)	2.3.0.a.1, 4.12.0-4.c.1.1, 264.24.0.?, 1218.6.0.?, 2436.24.0.?, $\ldots$	$[]$
46893.o3	46893i1	46893.o	46893i	$4$	$4$	\( 3 \cdot 7^{2} \cdot 11 \cdot 29 \)	\( 3^{3} \cdot 7^{7} \cdot 11^{4} \cdot 29 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$53592$	$48$	$0$	$1.517392569$	$1$		$3$	$73728$	$1.206253$	$408023180713/80247321$	$0.84673$	$3.57116$	$[1, 0, 1, -7572, 205405]$	\(y^2+xy+y=x^3-7572x+205405\)	2.3.0.a.1, 4.6.0.c.1, 84.12.0.?, 116.12.0.?, 264.12.0.?, $\ldots$	$[(95, 540)]$
73689.e3	73689s1	73689.e	73689s	$4$	$4$	\( 3 \cdot 7 \cdot 11^{2} \cdot 29 \)	\( 3^{3} \cdot 7 \cdot 11^{10} \cdot 29 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.6	2B	$53592$	$48$	$0$	$1$	$1$		$1$	$184320$	$1.432245$	$408023180713/80247321$	$0.84673$	$3.66911$	$[1, 1, 1, -18697, 791726]$	\(y^2+xy+y=x^3+x^2-18697x+791726\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 132.12.0.?, 264.24.0.?, $\ldots$	$[]$
107184.cr3	107184cv1	107184.cr	107184cv	$4$	$4$	\( 2^{4} \cdot 3 \cdot 7 \cdot 11 \cdot 29 \)	\( 2^{12} \cdot 3^{3} \cdot 7 \cdot 11^{4} \cdot 29 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$53592$	$48$	$0$	$0.997576794$	$1$		$7$	$98304$	$0.926445$	$408023180713/80247321$	$0.84673$	$3.02637$	$[0, 1, 0, -2472, 37620]$	\(y^2=x^3+x^2-2472x+37620\)	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 88.12.0.?, 264.24.0.?, $\ldots$	$[(60, 330)]$
140679.o3	140679i1	140679.o	140679i	$4$	$4$	\( 3^{2} \cdot 7^{2} \cdot 11 \cdot 29 \)	\( 3^{9} \cdot 7^{7} \cdot 11^{4} \cdot 29 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$53592$	$48$	$0$	$1.842609961$	$1$		$5$	$589824$	$1.755560$	$408023180713/80247321$	$0.84673$	$3.79626$	$[1, -1, 1, -68144, -5545942]$	\(y^2+xy+y=x^3-x^2-68144x-5545942\)	2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.2, 264.12.0.?, 348.12.0.?, $\ldots$	$[(-138, 1171)]$
167475.n3	167475h1	167475.n	167475h	$4$	$4$	\( 3 \cdot 5^{2} \cdot 7 \cdot 11 \cdot 29 \)	\( 3^{3} \cdot 5^{6} \cdot 7 \cdot 11^{4} \cdot 29 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$267960$	$48$	$0$	$1.546514130$	$1$		$7$	$196608$	$1.038017$	$408023180713/80247321$	$0.84673$	$3.02539$	$[1, 0, 0, -3863, -75408]$	\(y^2+xy=x^3-3863x-75408\)	2.3.0.a.1, 4.6.0.c.1, 60.12.0-4.c.1.2, 264.12.0.?, 440.12.0.?, $\ldots$	$[(-23, 49)]$
194271.i3	194271d1	194271.i	194271d	$4$	$4$	\( 3 \cdot 7 \cdot 11 \cdot 29^{2} \)	\( 3^{3} \cdot 7 \cdot 11^{4} \cdot 29^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$53592$	$48$	$0$	$2.204608864$	$1$		$1$	$1290240$	$1.916946$	$408023180713/80247321$	$0.84673$	$3.85467$	$[1, 0, 0, -129952, -14661025]$	\(y^2+xy=x^3-129952x-14661025\)	2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.2, 264.12.0.?, 348.12.0.?, $\ldots$	$[(6863/2, 548197/2)]$
221067.z3	221067y1	221067.z	221067y	$4$	$4$	\( 3^{2} \cdot 7 \cdot 11^{2} \cdot 29 \)	\( 3^{9} \cdot 7 \cdot 11^{10} \cdot 29 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$53592$	$48$	$0$	$1$	$1$		$1$	$1474560$	$1.981552$	$408023180713/80247321$	$0.84673$	$3.87720$	$[1, -1, 0, -168273, -21544880]$	\(y^2+xy=x^3-x^2-168273x-21544880\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 44.12.0-4.c.1.2, 264.24.0.?, $\ldots$	$[]$
321552.bw3	321552bw1	321552.bw	321552bw	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 11 \cdot 29 \)	\( 2^{12} \cdot 3^{9} \cdot 7 \cdot 11^{4} \cdot 29 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.8	2B	$53592$	$48$	$0$	$3.767635050$	$1$		$5$	$786432$	$1.475752$	$408023180713/80247321$	$0.84673$	$3.28399$	$[0, 0, 0, -22251, -1037990]$	\(y^2=x^3-22251x-1037990\)	2.3.0.a.1, 4.12.0-4.c.1.2, 264.24.0.?, 1218.6.0.?, 2436.24.0.?, $\ldots$	$[(-106, 360)]$
428736.bj3	428736bj1	428736.bj	428736bj	$4$	$4$	\( 2^{6} \cdot 3 \cdot 7 \cdot 11 \cdot 29 \)	\( 2^{18} \cdot 3^{3} \cdot 7 \cdot 11^{4} \cdot 29 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$53592$	$48$	$0$	$1$	$1$		$1$	$786432$	$1.273020$	$408023180713/80247321$	$0.84673$	$3.02355$	$[0, -1, 0, -9889, 310849]$	\(y^2=x^3-x^2-9889x+310849\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.1, 88.12.0.?, 264.24.0.?, $\ldots$	$[]$
428736.fh3	428736fh1	428736.fh	428736fh	$4$	$4$	\( 2^{6} \cdot 3 \cdot 7 \cdot 11 \cdot 29 \)	\( 2^{18} \cdot 3^{3} \cdot 7 \cdot 11^{4} \cdot 29 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$53592$	$48$	$0$	$2.815794541$	$1$		$11$	$786432$	$1.273020$	$408023180713/80247321$	$0.84673$	$3.02355$	$[0, 1, 0, -9889, -310849]$	\(y^2=x^3+x^2-9889x-310849\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.2, 88.12.0.?, 264.24.0.?, $\ldots$	$[(-55, 264), (179, 1920)]$