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
5658.h3	5658g3	5658.h	5658g	$6$	$8$	\( 2 \cdot 3 \cdot 23 \cdot 41 \)	\( 2^{6} \cdot 3^{4} \cdot 23^{4} \cdot 41^{4} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.48.0.30	2Cs	$7544$	$192$	$1$	$1$	$1$		$2$	$39936$	$1.695408$	$10887214909148618977/4099319456261184$	$0.98187$	$5.07291$	$[1, 0, 0, -46174, -2261116]$	\(y^2+xy=x^3-46174x-2261116\)	2.6.0.a.1, 4.24.0-4.b.1.1, 8.48.0-8.c.1.2, 184.96.0.?, 328.96.0.?, $\ldots$	$[ ]$
16974.f3	16974h4	16974.f	16974h	$6$	$8$	\( 2 \cdot 3^{2} \cdot 23 \cdot 41 \)	\( 2^{6} \cdot 3^{10} \cdot 23^{4} \cdot 41^{4} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.22	2Cs	$22632$	$192$	$1$	$4.454351193$	$1$		$4$	$319488$	$2.244713$	$10887214909148618977/4099319456261184$	$0.98187$	$5.17749$	$[1, -1, 0, -415566, 61050132]$	\(y^2+xy=x^3-x^2-415566x+61050132\)	2.6.0.a.1, 4.12.0.b.1, 8.24.0.c.1, 12.24.0-4.b.1.1, 24.48.0-8.c.1.1, $\ldots$	$[(-419, 12917)]$
45264.c3	45264l3	45264.c	45264l	$6$	$8$	\( 2^{4} \cdot 3 \cdot 23 \cdot 41 \)	\( 2^{18} \cdot 3^{4} \cdot 23^{4} \cdot 41^{4} \)	$0$	$\Z/2\Z\oplus\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.23	2Cs	$7544$	$192$	$1$	$1$	$4$	$2$	$7$	$958464$	$2.388554$	$10887214909148618977/4099319456261184$	$0.98187$	$4.86479$	$[0, -1, 0, -738784, 144711424]$	\(y^2=x^3-x^2-738784x+144711424\)	2.6.0.a.1, 4.24.0-4.b.1.3, 8.48.0-8.c.1.9, 184.96.0.?, 328.96.0.?, $\ldots$	$[ ]$
130134.z3	130134z3	130134.z	130134z	$6$	$8$	\( 2 \cdot 3 \cdot 23^{2} \cdot 41 \)	\( 2^{6} \cdot 3^{4} \cdot 23^{10} \cdot 41^{4} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.77	2Cs	$7544$	$192$	$1$	$8.519411202$	$1$		$2$	$21086208$	$3.263153$	$10887214909148618977/4099319456261184$	$0.98187$	$5.31975$	$[1, 0, 0, -24426057, 27462146265]$	\(y^2+xy=x^3-24426057x+27462146265\)	2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.c.1.1, 92.24.0.?, 184.96.0.?, $\ldots$	$[(302108/7, 113343077/7)]$
135792.be3	135792r4	135792.be	135792r	$6$	$8$	\( 2^{4} \cdot 3^{2} \cdot 23 \cdot 41 \)	\( 2^{18} \cdot 3^{10} \cdot 23^{4} \cdot 41^{4} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.22	2Cs	$22632$	$192$	$1$	$25.87870198$	$1$		$3$	$7667712$	$2.937862$	$10887214909148618977/4099319456261184$	$0.98187$	$4.97032$	$[0, 0, 0, -6649059, -3900559390]$	\(y^2=x^3-6649059x-3900559390\)	2.6.0.a.1, 4.12.0.b.1, 8.24.0.c.1, 12.24.0-4.b.1.3, 24.48.0-8.c.1.8, $\ldots$	$[(16869658641313/23881, 69019221472698116160/23881)]$
141450.o3	141450ck4	141450.o	141450ck	$6$	$8$	\( 2 \cdot 3 \cdot 5^{2} \cdot 23 \cdot 41 \)	\( 2^{6} \cdot 3^{4} \cdot 5^{6} \cdot 23^{4} \cdot 41^{4} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.22	2Cs	$37720$	$192$	$1$	$1.511942588$	$1$		$10$	$5111808$	$2.500126$	$10887214909148618977/4099319456261184$	$0.98187$	$4.51029$	$[1, 1, 0, -1154350, -282639500]$	\(y^2+xy=x^3+x^2-1154350x-282639500\)	2.6.0.a.1, 4.12.0.b.1, 8.24.0.c.1, 20.24.0-4.b.1.1, 40.48.0-8.c.1.2, $\ldots$	$[(-460, 12530)]$
181056.w3	181056cq4	181056.w	181056cq	$6$	$8$	\( 2^{6} \cdot 3 \cdot 23 \cdot 41 \)	\( 2^{24} \cdot 3^{4} \cdot 23^{4} \cdot 41^{4} \)	$2$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.7	2Cs	$7544$	$192$	$1$	$26.19771241$	$1$		$9$	$7667712$	$2.735130$	$10887214909148618977/4099319456261184$	$0.98187$	$4.65126$	$[0, -1, 0, -2955137, -1154736255]$	\(y^2=x^3-x^2-2955137x-1154736255\)	2.6.0.a.1, 4.24.0-4.b.1.2, 8.48.0-8.c.1.10, 184.96.0.?, 328.96.0.?, $\ldots$	$[(2627, 95940), (166627, 68013260)]$
181056.cj3	181056m3	181056.cj	181056m	$6$	$8$	\( 2^{6} \cdot 3 \cdot 23 \cdot 41 \)	\( 2^{24} \cdot 3^{4} \cdot 23^{4} \cdot 41^{4} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.8	2Cs	$7544$	$192$	$1$	$4.878036141$	$1$		$5$	$7667712$	$2.735130$	$10887214909148618977/4099319456261184$	$0.98187$	$4.65126$	$[0, 1, 0, -2955137, 1154736255]$	\(y^2=x^3+x^2-2955137x+1154736255\)	2.6.0.a.1, 4.24.0-4.b.1.2, 8.48.0-8.c.1.5, 184.96.0.?, 328.96.0.?, $\ldots$	$[(-1839, 19320)]$
231978.l3	231978l4	231978.l	231978l	$6$	$8$	\( 2 \cdot 3 \cdot 23 \cdot 41^{2} \)	\( 2^{6} \cdot 3^{4} \cdot 23^{4} \cdot 41^{10} \)	$2$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.127	2Cs	$7544$	$192$	$1$	$45.13139375$	$1$		$8$	$67092480$	$3.552193$	$10887214909148618977/4099319456261184$	$0.98187$	$5.35158$	$[1, 1, 1, -77618529, -155605520289]$	\(y^2+xy+y=x^3+x^2-77618529x-155605520289\)	2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.c.1.3, 164.24.0.?, 184.96.0.?, $\ldots$	$[(-4245, 314232), (7269211/5, 19571673076/5)]$
277242.bk3	277242bk3	277242.bk	277242bk	$6$	$8$	\( 2 \cdot 3 \cdot 7^{2} \cdot 23 \cdot 41 \)	\( 2^{6} \cdot 3^{4} \cdot 7^{6} \cdot 23^{4} \cdot 41^{4} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.22	2Cs	$52808$	$192$	$1$	$7.226138757$	$1$		$4$	$15335424$	$2.668362$	$10887214909148618977/4099319456261184$	$0.98187$	$4.42920$	$[1, 1, 1, -2262527, 773300261]$	\(y^2+xy+y=x^3+x^2-2262527x+773300261\)	2.6.0.a.1, 4.12.0.b.1, 8.24.0.c.1, 28.24.0-4.b.1.1, 56.48.0-8.c.1.1, $\ldots$	$[(2045, 67562)]$
390402.e3	390402e4	390402.e	390402e	$6$	$8$	\( 2 \cdot 3^{2} \cdot 23^{2} \cdot 41 \)	\( 2^{6} \cdot 3^{10} \cdot 23^{10} \cdot 41^{4} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.22	2Cs	$22632$	$192$	$1$	$40.17759158$	$1$		$2$	$168689664$	$3.812462$	$10887214909148618977/4099319456261184$	$0.98187$	$5.37780$	$[1, -1, 0, -219834513, -741477949155]$	\(y^2+xy=x^3-x^2-219834513x-741477949155\)	2.6.0.a.1, 4.12.0.b.1, 8.24.0.c.1, 24.48.0-8.c.1.2, 184.48.0.?, $\ldots$	$[(24475423916874680715/36142154, 61427204919960752158884169125/36142154)]$
424350.co3	424350co3	424350.co	424350co	$6$	$8$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 23 \cdot 41 \)	\( 2^{6} \cdot 3^{10} \cdot 5^{6} \cdot 23^{4} \cdot 41^{4} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.22	2Cs	$113160$	$192$	$1$	$3.528932468$	$1$		$8$	$40894464$	$3.049435$	$10887214909148618977/4099319456261184$	$0.98187$	$4.63659$	$[1, -1, 1, -10389155, 7620877347]$	\(y^2+xy+y=x^3-x^2-10389155x+7620877347\)	2.6.0.a.1, 4.12.0.b.1, 8.24.0.c.1, 60.24.0-4.b.1.1, 120.48.0.?, $\ldots$	$[(-841, 125970)]$

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