Elliptic curve search results

Results (1-50 of 85 matches)

  Download displayed columns for results to

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
66.b3	66b4	66.b	66b	$4$	$4$	\( 2 \cdot 3 \cdot 11 \)	\( - 2 \cdot 3^{4} \cdot 11^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.24.0.59	2B	$264$	$48$	$0$	$1$	$1$		$0$	$16$	$-0.094954$	$-192100033/2371842$	$1.02507$	$5.29392$	$[1, 1, 1, -12, -81]$	\(y^2+xy+y=x^3+x^2-12x-81\)	2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.d.1.1, 264.48.0.?	$[ ]$
198.a3	198a4	198.a	198a	$4$	$4$	\( 2 \cdot 3^{2} \cdot 11 \)	\( - 2 \cdot 3^{10} \cdot 11^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.16	2B	$264$	$48$	$0$	$0.195042991$	$1$		$12$	$128$	$0.454352$	$-192100033/2371842$	$1.02507$	$5.44061$	$[1, -1, 0, -108, 2074]$	\(y^2+xy=x^3-x^2-108x+2074\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 12.12.0-4.c.1.1, 24.24.0-8.d.1.1, $\ldots$	$[(-7, 53)]$
528.j3	528j4	528.j	528j	$4$	$4$	\( 2^{4} \cdot 3 \cdot 11 \)	\( - 2^{13} \cdot 3^{4} \cdot 11^{4} \)	$0$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.48	2B	$264$	$48$	$0$	$1$	$1$		$3$	$384$	$0.598193$	$-192100033/2371842$	$1.02507$	$4.86473$	$[0, 1, 0, -192, 4788]$	\(y^2=x^3+x^2-192x+4788\)	2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.d.1.2, 264.48.0.?	$[ ]$
726.c3	726c4	726.c	726c	$4$	$4$	\( 2 \cdot 3 \cdot 11^{2} \)	\( - 2 \cdot 3^{4} \cdot 11^{10} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.16	2B	$264$	$48$	$0$	$1$	$1$		$0$	$1920$	$1.103994$	$-192100033/2371842$	$1.02507$	$5.55094$	$[1, 1, 0, -1454, 100302]$	\(y^2+xy=x^3+x^2-1454x+100302\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 24.24.0-8.d.1.3, 44.12.0-4.c.1.1, $\ldots$	$[ ]$
1584.f3	1584n4	1584.f	1584n	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 11 \)	\( - 2^{13} \cdot 3^{10} \cdot 11^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.16	2B	$264$	$48$	$0$	$1.074314809$	$1$		$7$	$3072$	$1.147499$	$-192100033/2371842$	$1.02507$	$5.03401$	$[0, 0, 0, -1731, -131006]$	\(y^2=x^3-1731x-131006\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 12.12.0-4.c.1.2, 24.24.0-8.d.1.2, $\ldots$	$[(89, 648)]$
1650.k3	1650f4	1650.k	1650f	$4$	$4$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \)	\( - 2 \cdot 3^{4} \cdot 5^{6} \cdot 11^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.16	2B	$1320$	$48$	$0$	$1$	$1$		$0$	$2048$	$0.709765$	$-192100033/2371842$	$1.02507$	$4.29725$	$[1, 0, 1, -301, -9502]$	\(y^2+xy+y=x^3-301x-9502\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 20.12.0-4.c.1.1, 40.24.0-8.d.1.1, $\ldots$	$[ ]$
2112.e3	2112u4	2112.e	2112u	$4$	$4$	\( 2^{6} \cdot 3 \cdot 11 \)	\( - 2^{19} \cdot 3^{4} \cdot 11^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.59	2B	$264$	$48$	$0$	$1$	$1$		$1$	$3072$	$0.944767$	$-192100033/2371842$	$1.02507$	$4.52705$	$[0, -1, 0, -769, 39073]$	\(y^2=x^3-x^2-769x+39073\)	2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.d.1.1, 264.48.0.?	$[ ]$
2112.r3	2112r4	2112.r	2112r	$4$	$4$	\( 2^{6} \cdot 3 \cdot 11 \)	\( - 2^{19} \cdot 3^{4} \cdot 11^{4} \)	$1$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.48	2B	$264$	$48$	$0$	$1.965909858$	$1$		$11$	$3072$	$0.944767$	$-192100033/2371842$	$1.02507$	$4.52705$	$[0, 1, 0, -769, -39073]$	\(y^2=x^3+x^2-769x-39073\)	2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.d.1.2, 264.48.0.?	$[(43, 96)]$
2178.g3	2178k4	2178.g	2178k	$4$	$4$	\( 2 \cdot 3^{2} \cdot 11^{2} \)	\( - 2 \cdot 3^{10} \cdot 11^{10} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.106	2B	$264$	$48$	$0$	$1$	$4$	$2$	$0$	$15360$	$1.653299$	$-192100033/2371842$	$1.02507$	$5.61512$	$[1, -1, 1, -13091, -2721243]$	\(y^2+xy+y=x^3-x^2-13091x-2721243\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.d.1.3, 132.12.0.?, 264.48.0.?	$[ ]$
3234.t3	3234t4	3234.t	3234t	$4$	$4$	\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \)	\( - 2 \cdot 3^{4} \cdot 7^{6} \cdot 11^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.16	2B	$1848$	$48$	$0$	$1$	$1$		$0$	$4608$	$0.878001$	$-192100033/2371842$	$1.02507$	$4.18923$	$[1, 0, 0, -589, 25955]$	\(y^2+xy=x^3-589x+25955\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 28.12.0-4.c.1.1, 56.24.0-8.d.1.1, $\ldots$	$[ ]$
4950.bu3	4950bl4	4950.bu	4950bl	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \)	\( - 2 \cdot 3^{10} \cdot 5^{6} \cdot 11^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.16	2B	$1320$	$48$	$0$	$1$	$1$		$0$	$16384$	$1.259071$	$-192100033/2371842$	$1.02507$	$4.51715$	$[1, -1, 1, -2705, 256547]$	\(y^2+xy+y=x^3-x^2-2705x+256547\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 60.12.0-4.c.1.1, 120.24.0.?, $\ldots$	$[ ]$
5808.bc3	5808bf4	5808.bc	5808bf	$4$	$4$	\( 2^{4} \cdot 3 \cdot 11^{2} \)	\( - 2^{13} \cdot 3^{4} \cdot 11^{10} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.16	2B	$264$	$48$	$0$	$1$	$1$		$1$	$46080$	$1.797140$	$-192100033/2371842$	$1.02507$	$5.17883$	$[0, 1, 0, -23272, -6465868]$	\(y^2=x^3+x^2-23272x-6465868\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 24.24.0-8.d.1.3, 44.12.0-4.c.1.2, $\ldots$	$[ ]$
6336.bw3	6336o4	6336.bw	6336o	$4$	$4$	\( 2^{6} \cdot 3^{2} \cdot 11 \)	\( - 2^{19} \cdot 3^{10} \cdot 11^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.16	2B	$264$	$48$	$0$	$1$	$1$		$1$	$24576$	$1.494074$	$-192100033/2371842$	$1.02507$	$4.71190$	$[0, 0, 0, -6924, 1048048]$	\(y^2=x^3-6924x+1048048\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 12.12.0-4.c.1.2, 24.24.0-8.d.1.2, $\ldots$	$[ ]$
6336.cj3	6336ci4	6336.cj	6336ci	$4$	$4$	\( 2^{6} \cdot 3^{2} \cdot 11 \)	\( - 2^{19} \cdot 3^{10} \cdot 11^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.16	2B	$264$	$48$	$0$	$1$	$1$		$1$	$24576$	$1.494074$	$-192100033/2371842$	$1.02507$	$4.71190$	$[0, 0, 0, -6924, -1048048]$	\(y^2=x^3-6924x-1048048\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 12.12.0-4.c.1.1, 24.24.0-8.d.1.1, $\ldots$	$[ ]$
9702.x3	9702x4	9702.x	9702x	$4$	$4$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \)	\( - 2 \cdot 3^{10} \cdot 7^{6} \cdot 11^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.16	2B	$1848$	$48$	$0$	$1$	$1$		$0$	$36864$	$1.427307$	$-192100033/2371842$	$1.02507$	$4.40593$	$[1, -1, 0, -5301, -700785]$	\(y^2+xy=x^3-x^2-5301x-700785\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 84.12.0.?, 168.24.0.?, $\ldots$	$[ ]$
11154.d3	11154h4	11154.d	11154h	$4$	$4$	\( 2 \cdot 3 \cdot 11 \cdot 13^{2} \)	\( - 2 \cdot 3^{4} \cdot 11^{4} \cdot 13^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.16	2B	$3432$	$48$	$0$	$1$	$1$		$0$	$30720$	$1.187521$	$-192100033/2371842$	$1.02507$	$4.03124$	$[1, 1, 0, -2031, -167409]$	\(y^2+xy=x^3+x^2-2031x-167409\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 52.12.0-4.c.1.1, 104.24.0.?, $\ldots$	$[ ]$
13200.c3	13200bu4	13200.c	13200bu	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \)	\( - 2^{13} \cdot 3^{4} \cdot 5^{6} \cdot 11^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.16	2B	$1320$	$48$	$0$	$0.446524225$	$1$		$11$	$49152$	$1.402912$	$-192100033/2371842$	$1.02507$	$4.23211$	$[0, -1, 0, -4808, 608112]$	\(y^2=x^3-x^2-4808x+608112\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 20.12.0-4.c.1.2, 40.24.0-8.d.1.2, $\ldots$	$[(-4, 792)]$
17424.i3	17424bz4	17424.i	17424bz	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 11^{2} \)	\( - 2^{13} \cdot 3^{10} \cdot 11^{10} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.106	2B	$264$	$48$	$0$	$1$	$1$		$1$	$368640$	$2.346447$	$-192100033/2371842$	$1.02507$	$5.27121$	$[0, 0, 0, -209451, 174368986]$	\(y^2=x^3-209451x+174368986\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.d.1.3, 132.12.0.?, 264.48.0.?	$[ ]$
18150.co3	18150dc4	18150.co	18150dc	$4$	$4$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11^{2} \)	\( - 2 \cdot 3^{4} \cdot 5^{6} \cdot 11^{10} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.16	2B	$1320$	$48$	$0$	$1$	$1$		$0$	$245760$	$1.908712$	$-192100033/2371842$	$1.02507$	$4.71361$	$[1, 0, 0, -36363, 12610467]$	\(y^2+xy=x^3-36363x+12610467\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 120.24.0.?, 220.12.0.?, $\ldots$	$[ ]$
19074.bd3	19074bh4	19074.bd	19074bh	$4$	$4$	\( 2 \cdot 3 \cdot 11 \cdot 17^{2} \)	\( - 2 \cdot 3^{4} \cdot 11^{4} \cdot 17^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.16	2B	$4488$	$48$	$0$	$1$	$1$		$0$	$81920$	$1.321653$	$-192100033/2371842$	$1.02507$	$3.97511$	$[1, 0, 0, -3474, -372762]$	\(y^2+xy=x^3-3474x-372762\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 68.12.0-4.c.1.1, 136.24.0.?, $\ldots$	$[ ]$
23232.h3	23232de3	23232.h	23232de	$4$	$4$	\( 2^{6} \cdot 3 \cdot 11^{2} \)	\( - 2^{19} \cdot 3^{4} \cdot 11^{10} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.16	2B	$264$	$48$	$0$	$2.071688948$	$1$		$3$	$368640$	$2.143715$	$-192100033/2371842$	$1.02507$	$4.87838$	$[0, -1, 0, -93089, -51633855]$	\(y^2=x^3-x^2-93089x-51633855\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 24.24.0-8.d.1.4, 44.12.0-4.c.1.1, $\ldots$	$[(2237, 104544)]$
23232.co3	23232cg3	23232.co	23232cg	$4$	$4$	\( 2^{6} \cdot 3 \cdot 11^{2} \)	\( - 2^{19} \cdot 3^{4} \cdot 11^{10} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.16	2B	$264$	$48$	$0$	$3.350161108$	$1$		$5$	$368640$	$2.143715$	$-192100033/2371842$	$1.02507$	$4.87838$	$[0, 1, 0, -93089, 51633855]$	\(y^2=x^3+x^2-93089x+51633855\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 24.24.0-8.d.1.4, 44.12.0-4.c.1.2, $\ldots$	$[(-422, 3993)]$
23826.u3	23826r3	23826.u	23826r	$4$	$4$	\( 2 \cdot 3 \cdot 11 \cdot 19^{2} \)	\( - 2 \cdot 3^{4} \cdot 11^{4} \cdot 19^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.16	2B	$5016$	$48$	$0$	$1.255009846$	$1$		$6$	$110592$	$1.377266$	$-192100033/2371842$	$1.02507$	$3.95359$	$[1, 0, 1, -4340, 519644]$	\(y^2+xy+y=x^3-4340x+519644\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 76.12.0.?, 152.24.0.?, $\ldots$	$[(-84, 583)]$
25872.l3	25872by3	25872.l	25872by	$4$	$4$	\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 11 \)	\( - 2^{13} \cdot 3^{4} \cdot 7^{6} \cdot 11^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.16	2B	$1848$	$48$	$0$	$1$	$1$		$1$	$110592$	$1.571148$	$-192100033/2371842$	$1.02507$	$4.15050$	$[0, -1, 0, -9424, -1661120]$	\(y^2=x^3-x^2-9424x-1661120\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 28.12.0-4.c.1.2, 56.24.0-8.d.1.2, $\ldots$	$[ ]$
33462.db3	33462ci3	33462.db	33462ci	$4$	$4$	\( 2 \cdot 3^{2} \cdot 11 \cdot 13^{2} \)	\( - 2 \cdot 3^{10} \cdot 11^{4} \cdot 13^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.16	2B	$3432$	$48$	$0$	$8.010421158$	$1$		$0$	$245760$	$1.736828$	$-192100033/2371842$	$1.02507$	$4.23885$	$[1, -1, 1, -18284, 4501761]$	\(y^2+xy+y=x^3-x^2-18284x+4501761\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 156.12.0.?, 264.24.0.?, $\ldots$	$[(-4249/10, 2301219/10)]$
34914.u3	34914w3	34914.u	34914w	$4$	$4$	\( 2 \cdot 3 \cdot 11 \cdot 23^{2} \)	\( - 2 \cdot 3^{4} \cdot 11^{4} \cdot 23^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.16	2B	$6072$	$48$	$0$	$1$	$1$		$0$	$197120$	$1.472794$	$-192100033/2371842$	$1.02507$	$3.91875$	$[1, 1, 1, -6359, 919775]$	\(y^2+xy+y=x^3+x^2-6359x+919775\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 92.12.0.?, 184.24.0.?, $\ldots$	$[ ]$
35574.u3	35574bk3	35574.u	35574bk	$4$	$4$	\( 2 \cdot 3 \cdot 7^{2} \cdot 11^{2} \)	\( - 2 \cdot 3^{4} \cdot 7^{6} \cdot 11^{10} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.16	2B	$1848$	$48$	$0$	$1$	$1$		$0$	$552960$	$2.076950$	$-192100033/2371842$	$1.02507$	$4.60357$	$[1, 0, 1, -71272, -34617376]$	\(y^2+xy+y=x^3-71272x-34617376\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 168.24.0.?, 264.24.0.?, $\ldots$	$[ ]$
39600.h3	39600do3	39600.h	39600do	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11 \)	\( - 2^{13} \cdot 3^{10} \cdot 5^{6} \cdot 11^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.16	2B	$1320$	$48$	$0$	$4.212099105$	$1$		$3$	$393216$	$1.952219$	$-192100033/2371842$	$1.02507$	$4.41557$	$[0, 0, 0, -43275, -16375750]$	\(y^2=x^3-43275x-16375750\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 60.12.0-4.c.1.2, 120.24.0.?, $\ldots$	$[(1039, 32562)]$
52800.dv3	52800bj3	52800.dv	52800bj	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 11 \)	\( - 2^{19} \cdot 3^{4} \cdot 5^{6} \cdot 11^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.16	2B	$1320$	$48$	$0$	$1$	$1$		$1$	$393216$	$1.749485$	$-192100033/2371842$	$1.02507$	$4.07503$	$[0, -1, 0, -19233, -4845663]$	\(y^2=x^3-x^2-19233x-4845663\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 20.12.0-4.c.1.2, 40.24.0-8.d.1.2, $\ldots$	$[ ]$
52800.dy3	52800gp3	52800.dy	52800gp	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 11 \)	\( - 2^{19} \cdot 3^{4} \cdot 5^{6} \cdot 11^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.16	2B	$1320$	$48$	$0$	$0.954409255$	$1$		$7$	$393216$	$1.749485$	$-192100033/2371842$	$1.02507$	$4.07503$	$[0, 1, 0, -19233, 4845663]$	\(y^2=x^3+x^2-19233x+4845663\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 20.12.0-4.c.1.1, 40.24.0-8.d.1.1, $\ldots$	$[(-57, 2400)]$
54450.d3	54450cq3	54450.d	54450cq	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \)	\( - 2 \cdot 3^{10} \cdot 5^{6} \cdot 11^{10} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.16	2B	$1320$	$48$	$0$	$3.719627800$	$1$		$4$	$1966080$	$2.458019$	$-192100033/2371842$	$1.02507$	$4.84321$	$[1, -1, 0, -327267, -340482609]$	\(y^2+xy=x^3-x^2-327267x-340482609\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 40.24.0-8.d.1.3, 264.24.0.?, $\ldots$	$[(1359, 40833)]$
55506.u3	55506q3	55506.u	55506q	$4$	$4$	\( 2 \cdot 3 \cdot 11 \cdot 29^{2} \)	\( - 2 \cdot 3^{4} \cdot 11^{4} \cdot 29^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.16	2B	$7656$	$48$	$0$	$2.888048283$	$1$		$4$	$387072$	$1.588694$	$-192100033/2371842$	$1.02507$	$3.87976$	$[1, 0, 1, -10110, -1849862]$	\(y^2+xy+y=x^3-10110x-1849862\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 116.12.0.?, 232.24.0.?, $\ldots$	$[(158, 630)]$
57222.ba3	57222h3	57222.ba	57222h	$4$	$4$	\( 2 \cdot 3^{2} \cdot 11 \cdot 17^{2} \)	\( - 2 \cdot 3^{10} \cdot 11^{4} \cdot 17^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.16	2B	$4488$	$48$	$0$	$1$	$1$		$0$	$655360$	$1.870958$	$-192100033/2371842$	$1.02507$	$4.17818$	$[1, -1, 0, -31266, 10064574]$	\(y^2+xy=x^3-x^2-31266x+10064574\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 204.12.0.?, 264.24.0.?, $\ldots$	$[ ]$
63426.bg3	63426bh3	63426.bg	63426bh	$4$	$4$	\( 2 \cdot 3 \cdot 11 \cdot 31^{2} \)	\( - 2 \cdot 3^{4} \cdot 11^{4} \cdot 31^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.16	2B	$8184$	$48$	$0$	$4.129620737$	$1$		$0$	$491520$	$1.622040$	$-192100033/2371842$	$1.02507$	$3.86915$	$[1, 0, 0, -11552, 2257602]$	\(y^2+xy=x^3-11552x+2257602\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 124.12.0.?, 248.24.0.?, $\ldots$	$[(-113/2, 12917/2)]$
69696.fe3	69696gk3	69696.fe	69696gk	$4$	$4$	\( 2^{6} \cdot 3^{2} \cdot 11^{2} \)	\( - 2^{19} \cdot 3^{10} \cdot 11^{10} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.118	2B	$264$	$48$	$0$	$9.808942789$	$1$		$9$	$2949120$	$2.693020$	$-192100033/2371842$	$1.02507$	$4.98887$	$[0, 0, 0, -837804, 1394951888]$	\(y^2=x^3-837804x+1394951888\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.d.1.4, 132.12.0.?, 264.48.0.?	$[(-176, 39204), (7084, 592416)]$
69696.ge3	69696cm3	69696.ge	69696cm	$4$	$4$	\( 2^{6} \cdot 3^{2} \cdot 11^{2} \)	\( - 2^{19} \cdot 3^{10} \cdot 11^{10} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.118	2B	$264$	$48$	$0$	$7.963549858$	$1$		$1$	$2949120$	$2.693020$	$-192100033/2371842$	$1.02507$	$4.98887$	$[0, 0, 0, -837804, -1394951888]$	\(y^2=x^3-837804x-1394951888\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.d.1.4, 132.12.0.?, 264.48.0.?	$[(673046/17, 473410080/17)]$
71478.bl3	71478ct3	71478.bl	71478ct	$4$	$4$	\( 2 \cdot 3^{2} \cdot 11 \cdot 19^{2} \)	\( - 2 \cdot 3^{10} \cdot 11^{4} \cdot 19^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.16	2B	$5016$	$48$	$0$	$3.127816012$	$1$		$0$	$884736$	$1.926571$	$-192100033/2371842$	$1.02507$	$4.15473$	$[1, -1, 1, -39056, -14030395]$	\(y^2+xy+y=x^3-x^2-39056x-14030395\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 228.12.0.?, 264.24.0.?, $\ldots$	$[(3231/2, 172211/2)]$
77616.fi3	77616fh3	77616.fi	77616fh	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 11 \)	\( - 2^{13} \cdot 3^{10} \cdot 7^{6} \cdot 11^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.16	2B	$1848$	$48$	$0$	$1$	$1$		$1$	$884736$	$2.120453$	$-192100033/2371842$	$1.02507$	$4.33096$	$[0, 0, 0, -84819, 44935058]$	\(y^2=x^3-84819x+44935058\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 84.12.0.?, 168.24.0.?, $\ldots$	$[ ]$
80850.b3	80850o3	80850.b	80850o	$4$	$4$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 11 \)	\( - 2 \cdot 3^{4} \cdot 5^{6} \cdot 7^{6} \cdot 11^{4} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.16	2B	$9240$	$48$	$0$	$4.566228375$	$1$		$10$	$589824$	$1.682720$	$-192100033/2371842$	$1.02507$	$3.85048$	$[1, 1, 0, -14725, 3244375]$	\(y^2+xy=x^3+x^2-14725x+3244375\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 140.12.0.?, 264.24.0.?, $\ldots$	$[(91, 1588), (-71, 2020)]$
89232.bk3	89232cd3	89232.bk	89232cd	$4$	$4$	\( 2^{4} \cdot 3 \cdot 11 \cdot 13^{2} \)	\( - 2^{13} \cdot 3^{4} \cdot 11^{4} \cdot 13^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.16	2B	$3432$	$48$	$0$	$1.051031926$	$1$		$7$	$737280$	$1.880669$	$-192100033/2371842$	$1.02507$	$4.02554$	$[0, 1, 0, -32504, 10649172]$	\(y^2=x^3+x^2-32504x+10649172\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 52.12.0-4.c.1.2, 104.24.0.?, $\ldots$	$[(94, 2904)]$
90354.c3	90354a3	90354.c	90354a	$4$	$4$	\( 2 \cdot 3 \cdot 11 \cdot 37^{2} \)	\( - 2 \cdot 3^{4} \cdot 11^{4} \cdot 37^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.16	2B	$9768$	$48$	$0$	$4.421836577$	$1$		$2$	$811008$	$1.710505$	$-192100033/2371842$	$1.02507$	$3.84220$	$[1, 1, 0, -16456, -3847046]$	\(y^2+xy=x^3+x^2-16456x-3847046\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 148.12.0.?, 264.24.0.?, $\ldots$	$[(2641, 134260)]$
103488.dr3	103488by3	103488.dr	103488by	$4$	$4$	\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 11 \)	\( - 2^{19} \cdot 3^{4} \cdot 7^{6} \cdot 11^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.16	2B	$1848$	$48$	$0$	$1.304062827$	$1$		$7$	$884736$	$1.917723$	$-192100033/2371842$	$1.02507$	$4.01238$	$[0, -1, 0, -37697, 13326657]$	\(y^2=x^3-x^2-37697x+13326657\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 28.12.0-4.c.1.2, 56.24.0-8.d.1.2, $\ldots$	$[(-47, 3872)]$
103488.hr3	103488ht3	103488.hr	103488ht	$4$	$4$	\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 11 \)	\( - 2^{19} \cdot 3^{4} \cdot 7^{6} \cdot 11^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.16	2B	$1848$	$48$	$0$	$1$	$1$		$1$	$884736$	$1.917723$	$-192100033/2371842$	$1.02507$	$4.01238$	$[0, 1, 0, -37697, -13326657]$	\(y^2=x^3+x^2-37697x-13326657\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 28.12.0-4.c.1.1, 56.24.0-8.d.1.1, $\ldots$	$[ ]$
104742.z3	104742k3	104742.z	104742k	$4$	$4$	\( 2 \cdot 3^{2} \cdot 11 \cdot 23^{2} \)	\( - 2 \cdot 3^{10} \cdot 11^{4} \cdot 23^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.16	2B	$6072$	$48$	$0$	$11.78602420$	$1$		$0$	$1576960$	$2.022099$	$-192100033/2371842$	$1.02507$	$4.11656$	$[1, -1, 0, -57231, -24891161]$	\(y^2+xy=x^3-x^2-57231x-24891161\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 264.24.0.?, 276.12.0.?, $\ldots$	$[(1057451/25, 1060189124/25)]$
106722.gk3	106722hb3	106722.gk	106722hb	$4$	$4$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11^{2} \)	\( - 2 \cdot 3^{10} \cdot 7^{6} \cdot 11^{10} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.16	2B	$1848$	$48$	$0$	$10.39970218$	$1$		$0$	$4423680$	$2.626255$	$-192100033/2371842$	$1.02507$	$4.73608$	$[1, -1, 1, -641444, 934669145]$	\(y^2+xy+y=x^3-x^2-641444x+934669145\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 56.24.0-8.d.1.3, 264.24.0.?, $\ldots$	$[(3753949/20, 7213075017/20)]$
110946.bo3	110946bm3	110946.bo	110946bm	$4$	$4$	\( 2 \cdot 3 \cdot 11 \cdot 41^{2} \)	\( - 2 \cdot 3^{4} \cdot 11^{4} \cdot 41^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.16	2B	$10824$	$48$	$0$	$1$	$4$	$2$	$0$	$1105920$	$1.761831$	$-192100033/2371842$	$1.02507$	$3.82731$	$[1, 0, 0, -20207, -5226837]$	\(y^2+xy=x^3-20207x-5226837\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 164.12.0.?, 264.24.0.?, $\ldots$	$[ ]$
122034.e3	122034e3	122034.e	122034e	$4$	$4$	\( 2 \cdot 3 \cdot 11 \cdot 43^{2} \)	\( - 2 \cdot 3^{4} \cdot 11^{4} \cdot 43^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.16	2B	$11352$	$48$	$0$	$1.953554358$	$1$		$2$	$1290240$	$1.785646$	$-192100033/2371842$	$1.02507$	$3.82059$	$[1, 0, 1, -22227, 6025864]$	\(y^2+xy+y=x^3-22227x+6025864\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 172.12.0.?, 264.24.0.?, $\ldots$	$[(584, 13575)]$
122694.bv3	122694cq3	122694.bv	122694cq	$4$	$4$	\( 2 \cdot 3 \cdot 11^{2} \cdot 13^{2} \)	\( - 2 \cdot 3^{4} \cdot 11^{10} \cdot 13^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.16	2B	$3432$	$48$	$0$	$7.217477697$	$1$		$0$	$3686400$	$2.386467$	$-192100033/2371842$	$1.02507$	$4.43414$	$[1, 1, 1, -245814, 221592405]$	\(y^2+xy+y=x^3+x^2-245814x+221592405\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 264.24.0.?, 312.24.0.?, $\ldots$	$[(51799/2, 11729863/2)]$
145200.fa3	145200gl3	145200.fa	145200gl	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11^{2} \)	\( - 2^{13} \cdot 3^{4} \cdot 5^{6} \cdot 11^{10} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.16	2B	$1320$	$48$	$0$	$11.48266572$	$1$		$1$	$5898240$	$2.601860$	$-192100033/2371842$	$1.02507$	$4.58877$	$[0, -1, 0, -581808, -807069888]$	\(y^2=x^3-x^2-581808x-807069888\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 120.24.0.?, 220.12.0.?, $\ldots$	$[(1424613/7, 1699735050/7)]$
145794.bc3	145794k4	145794.bc	145794k	$4$	$4$	\( 2 \cdot 3 \cdot 11 \cdot 47^{2} \)	\( - 2 \cdot 3^{4} \cdot 11^{4} \cdot 47^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.16	2B	$12408$	$48$	$0$	$1$	$1$		$0$	$1589760$	$1.830120$	$-192100033/2371842$	$1.02507$	$3.80831$	$[1, 1, 1, -26554, 7860137]$	\(y^2+xy+y=x^3+x^2-26554x+7860137\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 188.12.0.?, 264.24.0.?, $\ldots$	$[ ]$

  Download displayed columns for results to