Elliptic curve search results

Results (13 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
7095.c3	7095c3	7095.c	7095c	$6$	$8$	\( 3 \cdot 5 \cdot 11 \cdot 43 \)	\( 3^{8} \cdot 5^{4} \cdot 11^{2} \cdot 43^{4} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	4.24.0.6	2Cs	$18920$	$192$	$1$	$2.636747795$	$1$		$8$	$40960$	$1.697077$	$53804702959424445601/1696325722925625$	$0.95864$	$5.12362$	$[1, 1, 1, -78650, 8222510]$	\(y^2+xy+y=x^3+x^2-78650x+8222510\)	2.6.0.a.1, 4.24.0-4.b.1.1, 40.48.0-40.i.2.7, 44.48.0-44.c.1.3, 344.48.0.?, $\ldots$	$[(128, 458)]$
21285.e3	21285c3	21285.e	21285c	$6$	$8$	\( 3^{2} \cdot 5 \cdot 11 \cdot 43 \)	\( 3^{14} \cdot 5^{4} \cdot 11^{2} \cdot 43^{4} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.3	2Cs	$56760$	$192$	$1$	$1$	$9$	$3$	$2$	$327680$	$2.246384$	$53804702959424445601/1696325722925625$	$0.95864$	$5.22023$	$[1, -1, 0, -707850, -222715625]$	\(y^2+xy=x^3-x^2-707850x-222715625\)	2.6.0.a.1, 4.12.0.b.1, 12.24.0-4.b.1.1, 40.24.0.i.2, 44.24.0.c.1, $\ldots$	$[ ]$
35475.i3	35475h3	35475.i	35475h	$6$	$8$	\( 3 \cdot 5^{2} \cdot 11 \cdot 43 \)	\( 3^{8} \cdot 5^{10} \cdot 11^{2} \cdot 43^{4} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.17	2Cs	$18920$	$192$	$1$	$1$	$1$		$2$	$983040$	$2.501797$	$53804702959424445601/1696325722925625$	$0.95864$	$5.25825$	$[1, 0, 1, -1966251, 1031746273]$	\(y^2+xy+y=x^3-1966251x+1031746273\)	2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.1, 20.24.0-4.b.1.1, 40.48.0-40.i.2.2, $\ldots$	$[ ]$
78045.j3	78045i3	78045.j	78045i	$6$	$8$	\( 3 \cdot 5 \cdot 11^{2} \cdot 43 \)	\( 3^{8} \cdot 5^{4} \cdot 11^{8} \cdot 43^{4} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.24.0.3	2Cs	$18920$	$192$	$1$	$1$	$1$		$2$	$4915200$	$2.896027$	$53804702959424445601/1696325722925625$	$0.95864$	$5.31017$	$[1, 1, 0, -9516652, -10991744309]$	\(y^2+xy=x^3+x^2-9516652x-10991744309\)	2.6.0.a.1, 4.24.0-4.b.1.2, 40.48.0-40.i.2.28, 44.48.0-44.c.1.2, 344.48.0.?, $\ldots$	$[ ]$
106425.k3	106425j3	106425.k	106425j	$6$	$8$	\( 3^{2} \cdot 5^{2} \cdot 11 \cdot 43 \)	\( 3^{14} \cdot 5^{10} \cdot 11^{2} \cdot 43^{4} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.3	2Cs	$56760$	$192$	$1$	$3.852351222$	$1$		$2$	$7864320$	$3.051102$	$53804702959424445601/1696325722925625$	$0.95864$	$5.32865$	$[1, -1, 1, -17696255, -27857149378]$	\(y^2+xy+y=x^3-x^2-17696255x-27857149378\)	2.6.0.a.1, 4.12.0.b.1, 24.24.0-4.b.1.2, 40.24.0.i.2, 44.24.0.c.1, $\ldots$	$[(61167/2, 14421143/2)]$
113520.bo3	113520bp3	113520.bo	113520bp	$6$	$8$	\( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 43 \)	\( 2^{12} \cdot 3^{8} \cdot 5^{4} \cdot 11^{2} \cdot 43^{4} \)	$1$	$\Z/2\Z\oplus\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.24.0.5	2Cs	$18920$	$192$	$1$	$4.400506196$	$1$		$11$	$2621440$	$2.390224$	$53804702959424445601/1696325722925625$	$0.95864$	$4.61777$	$[0, 1, 0, -1258400, -528757452]$	\(y^2=x^3+x^2-1258400x-528757452\)	2.6.0.a.1, 4.24.0-4.b.1.3, 40.48.0-40.i.2.1, 44.48.0-44.c.1.1, 344.48.0.?, $\ldots$	$[(7906, 695520)]$
234135.f3	234135f4	234135.f	234135f	$6$	$8$	\( 3^{2} \cdot 5 \cdot 11^{2} \cdot 43 \)	\( 3^{14} \cdot 5^{4} \cdot 11^{8} \cdot 43^{4} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.3	2Cs	$56760$	$192$	$1$	$1$	$1$		$2$	$39321600$	$3.445332$	$53804702959424445601/1696325722925625$	$0.95864$	$5.37147$	$[1, -1, 1, -85649873, 296691446472]$	\(y^2+xy+y=x^3-x^2-85649873x+296691446472\)	2.6.0.a.1, 4.12.0.b.1, 12.24.0-4.b.1.2, 40.24.0.i.2, 44.24.0.c.1, $\ldots$	$[ ]$
305085.l3	305085l3	305085.l	305085l	$6$	$8$	\( 3 \cdot 5 \cdot 11 \cdot 43^{2} \)	\( 3^{8} \cdot 5^{4} \cdot 11^{2} \cdot 43^{10} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.17	2Cs	$18920$	$192$	$1$	$1$	$1$		$2$	$75694080$	$3.577679$	$53804702959424445601/1696325722925625$	$0.95864$	$5.38464$	$[1, 0, 1, -145423889, -656364746689]$	\(y^2+xy+y=x^3-145423889x-656364746689\)	2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.1, 40.48.0-40.i.2.16, 44.24.0.c.1, $\ldots$	$[ ]$
340560.bj3	340560bj4	340560.bj	340560bj	$6$	$8$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 43 \)	\( 2^{12} \cdot 3^{14} \cdot 5^{4} \cdot 11^{2} \cdot 43^{4} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.3	2Cs	$56760$	$192$	$1$	$3.803159464$	$1$		$7$	$20971520$	$2.939529$	$53804702959424445601/1696325722925625$	$0.95864$	$4.73698$	$[0, 0, 0, -11325603, 14265125602]$	\(y^2=x^3-11325603x+14265125602\)	2.6.0.a.1, 4.12.0.b.1, 12.24.0-4.b.1.3, 40.24.0.i.2, 44.24.0.c.1, $\ldots$	$[(2687, 56862)]$
347655.bd3	347655bd3	347655.bd	347655bd	$6$	$8$	\( 3 \cdot 5 \cdot 7^{2} \cdot 11 \cdot 43 \)	\( 3^{8} \cdot 5^{4} \cdot 7^{6} \cdot 11^{2} \cdot 43^{4} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.3	2Cs	$132440$	$192$	$1$	$1$	$1$		$2$	$15728640$	$2.670033$	$53804702959424445601/1696325722925625$	$0.95864$	$4.47586$	$[1, 0, 0, -3853851, -2831882544]$	\(y^2+xy=x^3-3853851x-2831882544\)	2.6.0.a.1, 4.12.0.b.1, 28.24.0-4.b.1.1, 40.24.0.i.2, 44.24.0.c.1, $\ldots$	$[ ]$
390225.p3	390225p3	390225.p	390225p	$6$	$8$	\( 3 \cdot 5^{2} \cdot 11^{2} \cdot 43 \)	\( 3^{8} \cdot 5^{10} \cdot 11^{8} \cdot 43^{4} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.11	2Cs	$18920$	$192$	$1$	$10.19441158$	$1$		$2$	$117964800$	$3.700745$	$53804702959424445601/1696325722925625$	$0.95864$	$5.39640$	$[1, 0, 0, -237916313, -1373492206008]$	\(y^2+xy=x^3-237916313x-1373492206008\)	2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.8, 20.24.0-4.b.1.2, 40.48.0-40.i.2.29, $\ldots$	$[(-5911871/25, 2809776208/25)]$
454080.t3	454080t3	454080.t	454080t	$6$	$8$	\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 43 \)	\( 2^{18} \cdot 3^{8} \cdot 5^{4} \cdot 11^{2} \cdot 43^{4} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.21	2Cs	$18920$	$192$	$1$	$10.77897519$	$1$		$3$	$20971520$	$2.736797$	$53804702959424445601/1696325722925625$	$0.95864$	$4.44560$	$[0, -1, 0, -5033601, -4225026015]$	\(y^2=x^3-x^2-5033601x-4225026015\)	2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.2, 40.48.0-40.i.2.5, 44.24.0.c.1, $\ldots$	$[(968184/19, 270804303/19)]$
454080.ct3	454080ct4	454080.ct	454080ct	$6$	$8$	\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 43 \)	\( 2^{18} \cdot 3^{8} \cdot 5^{4} \cdot 11^{2} \cdot 43^{4} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.20	2Cs	$18920$	$192$	$1$	$0.795085836$	$1$		$15$	$20971520$	$2.736797$	$53804702959424445601/1696325722925625$	$0.95864$	$4.44560$	$[0, 1, 0, -5033601, 4225026015]$	\(y^2=x^3+x^2-5033601x+4225026015\)	2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.11, 40.48.0-40.i.2.3, 44.24.0.c.1, $\ldots$	$[(642, 35475)]$

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