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.h5	5658g1	5658.h	5658g	$6$	$8$	\( 2 \cdot 3 \cdot 23 \cdot 41 \)	\( - 2^{24} \cdot 3^{4} \cdot 23 \cdot 41 \)	$0$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	16.48.0.29	2B	$15088$	$192$	$1$	$1$	$1$		$3$	$9984$	$1.002260$	$1276229915423/1281494089728$	$0.99255$	$4.08910$	$[1, 0, 0, 226, 54468]$	\(y^2+xy=x^3+226x+54468\)	2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.n.1.2, 16.48.0-16.h.1.2, 184.48.0.?, $\ldots$	$[ ]$
16974.f5	16974h1	16974.f	16974h	$6$	$8$	\( 2 \cdot 3^{2} \cdot 23 \cdot 41 \)	\( - 2^{24} \cdot 3^{10} \cdot 23 \cdot 41 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.24.0.5	2B	$45264$	$192$	$1$	$17.81740477$	$1$		$1$	$79872$	$1.551567$	$1276229915423/1281494089728$	$0.99255$	$4.30465$	$[1, -1, 0, 2034, -1470636]$	\(y^2+xy=x^3-x^2+2034x-1470636\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0-4.c.1.2, 16.24.0.h.1, $\ldots$	$[(48157333/299, 326356486639/299)]$
45264.c5	45264l1	45264.c	45264l	$6$	$8$	\( 2^{4} \cdot 3 \cdot 23 \cdot 41 \)	\( - 2^{36} \cdot 3^{4} \cdot 23 \cdot 41 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.48.0.46	2B	$15088$	$192$	$1$	$1$	$4$	$2$	$1$	$239616$	$1.695408$	$1276229915423/1281494089728$	$0.99255$	$4.07182$	$[0, -1, 0, 3616, -3485952]$	\(y^2=x^3-x^2+3616x-3485952\)	2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.n.1.6, 16.48.0-16.h.1.6, 184.48.0.?, $\ldots$	$[ ]$
130134.z5	130134z1	130134.z	130134z	$6$	$8$	\( 2 \cdot 3 \cdot 23^{2} \cdot 41 \)	\( - 2^{24} \cdot 3^{4} \cdot 23^{7} \cdot 41 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.48.0.90	2B	$15088$	$192$	$1$	$2.129852800$	$1$		$3$	$5271552$	$2.570007$	$1276229915423/1281494089728$	$0.99255$	$4.59788$	$[1, 0, 0, 119543, -662473063]$	\(y^2+xy=x^3+119543x-662473063\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.1, 16.48.0-16.h.1.1, 92.12.0.?, $\ldots$	$[(19226, 2656547)]$
135792.be5	135792r1	135792.be	135792r	$6$	$8$	\( 2^{4} \cdot 3^{2} \cdot 23 \cdot 41 \)	\( - 2^{36} \cdot 3^{10} \cdot 23 \cdot 41 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.24.0.5	2B	$45264$	$192$	$1$	$25.87870198$	$1$		$1$	$1916928$	$2.244713$	$1276229915423/1281494089728$	$0.99255$	$4.25105$	$[0, 0, 0, 32541, 94088162]$	\(y^2=x^3+32541x+94088162\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0-4.c.1.1, 16.24.0.h.1, $\ldots$	$[(112933572626/12685, 43903279591093874/12685)]$
141450.o5	141450ck1	141450.o	141450ck	$6$	$8$	\( 2 \cdot 3 \cdot 5^{2} \cdot 23 \cdot 41 \)	\( - 2^{24} \cdot 3^{4} \cdot 5^{6} \cdot 23 \cdot 41 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.24.0.5	2B	$75440$	$192$	$1$	$6.047770355$	$1$		$3$	$1277952$	$1.806980$	$1276229915423/1281494089728$	$0.99255$	$3.79350$	$[1, 1, 0, 5650, 6808500]$	\(y^2+xy=x^3+x^2+5650x+6808500\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.h.1, 20.12.0-4.c.1.2, $\ldots$	$[(261, 4983)]$
181056.w5	181056cq1	181056.w	181056cq	$6$	$8$	\( 2^{6} \cdot 3 \cdot 23 \cdot 41 \)	\( - 2^{42} \cdot 3^{4} \cdot 23 \cdot 41 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.48.0.195	2B	$15088$	$192$	$1$	$26.19771241$	$1$		$5$	$1916928$	$2.041981$	$1276229915423/1281494089728$	$0.99255$	$3.94908$	$[0, -1, 0, 14463, 27873153]$	\(y^2=x^3-x^2+14463x+27873153\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.11, 16.48.0-16.h.1.14, 184.48.0.?, $\ldots$	$[(-189, 4284), (4131, 265644)]$
181056.cj5	181056m1	181056.cj	181056m	$6$	$8$	\( 2^{6} \cdot 3 \cdot 23 \cdot 41 \)	\( - 2^{42} \cdot 3^{4} \cdot 23 \cdot 41 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.48.0.183	2B	$15088$	$192$	$1$	$19.51214456$	$1$		$1$	$1916928$	$2.041981$	$1276229915423/1281494089728$	$0.99255$	$3.94908$	$[0, 1, 0, 14463, -27873153]$	\(y^2=x^3+x^2+14463x-27873153\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.9, 16.48.0-16.h.1.10, 184.48.0.?, $\ldots$	$[(174506857/744, 1173440617685/744)]$
231978.l5	231978l1	231978.l	231978l	$6$	$8$	\( 2 \cdot 3 \cdot 23 \cdot 41^{2} \)	\( - 2^{24} \cdot 3^{4} \cdot 23 \cdot 41^{7} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.48.0.89	2B	$15088$	$192$	$1$	$2.820712109$	$1$		$15$	$16773120$	$2.859047$	$1276229915423/1281494089728$	$0.99255$	$4.66349$	$[1, 1, 1, 379871, 3752849375]$	\(y^2+xy+y=x^3+x^2+379871x+3752849375\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.1, 16.48.0-16.h.1.16, 92.12.0.?, $\ldots$	$[(2627, 149976), (-735, 55840)]$
277242.bk5	277242bk1	277242.bk	277242bk	$6$	$8$	\( 2 \cdot 3 \cdot 7^{2} \cdot 23 \cdot 41 \)	\( - 2^{24} \cdot 3^{4} \cdot 7^{6} \cdot 23 \cdot 41 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.24.0.5	2B	$105616$	$192$	$1$	$1.806534689$	$1$		$5$	$3833856$	$1.975216$	$1276229915423/1281494089728$	$0.99255$	$3.75090$	$[1, 1, 1, 11073, -18671451]$	\(y^2+xy+y=x^3+x^2+11073x-18671451\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.h.1, 28.12.0-4.c.1.2, $\ldots$	$[(379, 6146)]$
390402.e5	390402e1	390402.e	390402e	$6$	$8$	\( 2 \cdot 3^{2} \cdot 23^{2} \cdot 41 \)	\( - 2^{24} \cdot 3^{10} \cdot 23^{7} \cdot 41 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.24.0.5	2B	$45264$	$192$	$1$	$40.17759158$	$1$		$1$	$42172416$	$3.119312$	$1276229915423/1281494089728$	$0.99255$	$4.71753$	$[1, -1, 0, 1075887, 17886772701]$	\(y^2+xy=x^3-x^2+1075887x+17886772701\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.h.1, 24.24.0-8.n.1.8, $\ldots$	$[(49919620220921497/8139792, 74379287595816347330075611/8139792)]$
424350.co5	424350co1	424350.co	424350co	$6$	$8$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 23 \cdot 41 \)	\( - 2^{24} \cdot 3^{10} \cdot 5^{6} \cdot 23 \cdot 41 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.24.0.5	2B	$226320$	$192$	$1$	$3.528932468$	$1$		$5$	$10223616$	$2.356285$	$1276229915423/1281494089728$	$0.99255$	$3.98057$	$[1, -1, 1, 50845, -183778653]$	\(y^2+xy+y=x^3-x^2+50845x-183778653\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.h.1, 60.12.0-4.c.1.2, $\ldots$	$[(1439, 52830)]$

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