Elliptic curve search results

Results (18 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
11970.y1	11970j4	11970.y	11970j	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19 \)	\( 2^{9} \cdot 3^{9} \cdot 5^{2} \cdot 7^{12} \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.8.0.2	2B, 3B.1.2	$2280$	$96$	$1$	$1$	$1$		$0$	$373248$	$2.496670$	$6882017790203934867/3366201047283200$	$1.06986$	$5.67221$	$[1, -1, 0, -1069944, 167859008]$	\(y^2+xy=x^3-x^2-1069944x+167859008\)	2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 60.48.0-60.t.1.15, 456.48.0.?, $\ldots$	$[]$
11970.bm3	11970bg2	11970.bm	11970bg	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19 \)	\( 2^{9} \cdot 3^{3} \cdot 5^{2} \cdot 7^{12} \cdot 19 \)	$0$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.8.0.1	2B, 3B.1.1	$2280$	$96$	$1$	$1$	$1$		$4$	$124416$	$1.947365$	$6882017790203934867/3366201047283200$	$1.06986$	$4.97023$	$[1, -1, 1, -118883, -6177373]$	\(y^2+xy+y=x^3-x^2-118883x-6177373\)	2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 60.48.0-60.t.1.16, 456.48.0.?, $\ldots$	$[]$
59850.v3	59850e2	59850.v	59850e	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 19 \)	\( 2^{9} \cdot 3^{3} \cdot 5^{8} \cdot 7^{12} \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$2280$	$96$	$1$	$1$	$4$	$2$	$0$	$2985984$	$2.752083$	$6882017790203934867/3366201047283200$	$1.06986$	$5.12091$	$[1, -1, 0, -2972067, -775143659]$	\(y^2+xy=x^3-x^2-2972067x-775143659\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.5, 15.8.0-3.a.1.2, $\ldots$	$[]$
59850.eg1	59850dt4	59850.eg	59850dt	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 19 \)	\( 2^{9} \cdot 3^{9} \cdot 5^{8} \cdot 7^{12} \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$2280$	$96$	$1$	$3.153351360$	$1$		$4$	$8957952$	$3.301392$	$6882017790203934867/3366201047283200$	$1.06986$	$5.72017$	$[1, -1, 1, -26748605, 20955627397]$	\(y^2+xy+y=x^3-x^2-26748605x+20955627397\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.11, 15.8.0-3.a.1.1, $\ldots$	$[(-41, 148520)]$
83790.o1	83790c4	83790.o	83790c	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 19 \)	\( 2^{9} \cdot 3^{9} \cdot 5^{2} \cdot 7^{18} \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$15960$	$96$	$1$	$1$	$1$		$0$	$17915904$	$3.469627$	$6882017790203934867/3366201047283200$	$1.06986$	$5.72848$	$[1, -1, 0, -52427265, -57470785219]$	\(y^2+xy=x^3-x^2-52427265x-57470785219\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 21.8.0-3.a.1.2, 42.24.0-6.a.1.4, $\ldots$	$[]$
83790.fd3	83790dc2	83790.fd	83790dc	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 19 \)	\( 2^{9} \cdot 3^{3} \cdot 5^{2} \cdot 7^{18} \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$15960$	$96$	$1$	$1$	$1$		$0$	$5971968$	$2.920319$	$6882017790203934867/3366201047283200$	$1.06986$	$5.14700$	$[1, -1, 1, -5825252, 2130489351]$	\(y^2+xy+y=x^3-x^2-5825252x+2130489351\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 21.8.0-3.a.1.1, 42.24.0-6.a.1.3, $\ldots$	$[]$
95760.r3	95760bs2	95760.r	95760bs	$4$	$6$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19 \)	\( 2^{21} \cdot 3^{3} \cdot 5^{2} \cdot 7^{12} \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$2280$	$96$	$1$	$1$	$1$		$1$	$2985984$	$2.640511$	$6882017790203934867/3366201047283200$	$1.06986$	$4.79433$	$[0, 0, 0, -1902123, 397253978]$	\(y^2=x^3-1902123x+397253978\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.3, 60.48.0-60.t.1.14, $\ldots$	$[]$
95760.dq1	95760cj4	95760.dq	95760cj	$4$	$6$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19 \)	\( 2^{21} \cdot 3^{9} \cdot 5^{2} \cdot 7^{12} \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$2280$	$96$	$1$	$24.64380821$	$1$		$1$	$8957952$	$3.189819$	$6882017790203934867/3366201047283200$	$1.06986$	$5.36904$	$[0, 0, 0, -17119107, -10725857406]$	\(y^2=x^3-17119107x-10725857406\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.9, 60.48.0-60.t.1.13, $\ldots$	$[(-198706216737/17119, 119760501170635650/17119)]$
227430.z3	227430fz2	227430.z	227430fz	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19^{2} \)	\( 2^{9} \cdot 3^{3} \cdot 5^{2} \cdot 7^{12} \cdot 19^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$2280$	$96$	$1$	$1.116929668$	$1$		$6$	$44789760$	$3.419586$	$6882017790203934867/3366201047283200$	$1.06986$	$5.21605$	$[1, -1, 0, -42916650, 42585182836]$	\(y^2+xy=x^3-x^2-42916650x+42585182836\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.13, 57.8.0-3.a.1.1, $\ldots$	$[(-147, 221186)]$
227430.fv1	227430ck4	227430.fv	227430ck	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19^{2} \)	\( 2^{9} \cdot 3^{9} \cdot 5^{2} \cdot 7^{12} \cdot 19^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$2280$	$96$	$1$	$0.944354209$	$1$		$4$	$134369280$	$3.968891$	$6882017790203934867/3366201047283200$	$1.06986$	$5.75046$	$[1, -1, 1, -386249852, -1149413686721]$	\(y^2+xy+y=x^3-x^2-386249852x-1149413686721\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.5, 57.8.0-3.a.1.2, $\ldots$	$[(53509, 11435717)]$
383040.bt1	383040bt4	383040.bt	383040bt	$4$	$6$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19 \)	\( 2^{27} \cdot 3^{9} \cdot 5^{2} \cdot 7^{12} \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$2280$	$96$	$1$	$27.98584063$	$1$		$1$	$71663616$	$3.536392$	$6882017790203934867/3366201047283200$	$1.06986$	$5.11358$	$[0, 0, 0, -68476428, -85806859248]$	\(y^2=x^3-68476428x-85806859248\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.14, 60.24.0.t.1, $\ldots$	$[(-5780700473856/64307, 22537419388991581140/64307)]$
383040.fk1	383040fk4	383040.fk	383040fk	$4$	$6$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19 \)	\( 2^{27} \cdot 3^{9} \cdot 5^{2} \cdot 7^{12} \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$2280$	$96$	$1$	$1$	$1$		$1$	$71663616$	$3.536392$	$6882017790203934867/3366201047283200$	$1.06986$	$5.11358$	$[0, 0, 0, -68476428, 85806859248]$	\(y^2=x^3-68476428x+85806859248\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.3, 60.24.0.t.1, $\ldots$	$[]$
383040.iy3	383040iy2	383040.iy	383040iy	$4$	$6$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19 \)	\( 2^{27} \cdot 3^{3} \cdot 5^{2} \cdot 7^{12} \cdot 19 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$2280$	$96$	$1$	$19.12841901$	$1$		$5$	$23887872$	$2.987087$	$6882017790203934867/3366201047283200$	$1.06986$	$4.60084$	$[0, 0, 0, -7608492, 3178031824]$	\(y^2=x^3-7608492x+3178031824\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.6, 60.24.0.t.1, $\ldots$	$[(2858, 69120), (2170/3, 994816/3)]$
383040.na3	383040na2	383040.na	383040na	$4$	$6$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19 \)	\( 2^{27} \cdot 3^{3} \cdot 5^{2} \cdot 7^{12} \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$2280$	$96$	$1$	$1.953760369$	$1$		$3$	$23887872$	$2.987087$	$6882017790203934867/3366201047283200$	$1.06986$	$4.60084$	$[0, 0, 0, -7608492, -3178031824]$	\(y^2=x^3-7608492x-3178031824\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.11, 60.24.0.t.1, $\ldots$	$[(4822, 268800)]$
418950.em3	418950em2	418950.em	418950em	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 19 \)	\( 2^{9} \cdot 3^{3} \cdot 5^{8} \cdot 7^{18} \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$15960$	$96$	$1$	$1$	$1$		$0$	$143327232$	$3.725040$	$6882017790203934867/3366201047283200$	$1.06986$	$5.25305$	$[1, -1, 0, -145631292, 266165537616]$	\(y^2+xy=x^3-x^2-145631292x+266165537616\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 60.24.0.t.1, 84.24.0.?, $\ldots$	$[]$
418950.nd1	418950nd4	418950.nd	418950nd	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 19 \)	\( 2^{9} \cdot 3^{9} \cdot 5^{8} \cdot 7^{18} \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$15960$	$96$	$1$	$7.819622006$	$1$		$2$	$429981696$	$4.274345$	$6882017790203934867/3366201047283200$	$1.06986$	$5.76223$	$[1, -1, 1, -1310681630, -7185158834003]$	\(y^2+xy+y=x^3-x^2-1310681630x-7185158834003\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 60.24.0.t.1, 84.24.0.?, $\ldots$	$[(111689, 35153155)]$
478800.lf1	478800lf4	478800.lf	478800lf	$4$	$6$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 19 \)	\( 2^{21} \cdot 3^{9} \cdot 5^{8} \cdot 7^{12} \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$2280$	$96$	$1$	$1.930130182$	$1$		$7$	$214990848$	$3.994537$	$6882017790203934867/3366201047283200$	$1.06986$	$5.44668$	$[0, 0, 0, -427977675, -1340732175750]$	\(y^2=x^3-427977675x-1340732175750\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.2, 60.48.0-60.t.1.10, $\ldots$	$[(-4155, 604800)]$
478800.lm3	478800lm2	478800.lm	478800lm	$4$	$6$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 19 \)	\( 2^{21} \cdot 3^{3} \cdot 5^{8} \cdot 7^{12} \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$2280$	$96$	$1$	$2.765142156$	$1$		$5$	$71663616$	$3.445232$	$6882017790203934867/3366201047283200$	$1.06986$	$4.94269$	$[0, 0, 0, -47553075, 49656747250]$	\(y^2=x^3-47553075x+49656747250\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.8, 60.48.0-60.t.1.9, $\ldots$	$[(335, 183750)]$