Elliptic curve search results

The results below are complete, since the LMFDB contains all elliptic curves with conductor at most 500000

Results (1-50 of 281 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	Intrinsic torsion order	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators	Manin constant
11.a1	11a2	11.a	11a	$3$	$25$	\( 11 \)	\( -11 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓		$5$	25.120.0.3	5B.1.2	$550$	$1200$	$37$	$1$	$1$		$0$	$5$	$0.496709$	$-52893159101157376/11$	$1.09296$	$16.05869$	$1$	$[0, -1, 1, -7820, -263580]$	\(y^2+y=x^3-x^2-7820x-263580\)	5.24.0-5.a.2.2, 22.2.0.a.1, 25.120.0-25.a.2.2, 110.48.1.?, 275.600.12.?, $\ldots$	$[ ]$	$1$
14.a1	14a5	14.a	14a	$6$	$18$	\( 2 \cdot 7 \)	\( 2^{9} \cdot 7^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2, 3$	8.6.0.6, 9.24.0.3	2B, 3B.1.2	$504$	$864$	$21$	$1$	$1$		$0$	$6$	$0.413101$	$2251439055699625/25088$	$1.06489$	$13.39507$	$1$	$[1, 0, 1, -2731, -55146]$	\(y^2+xy+y=x^3-2731x-55146\)	2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 8.6.0.b.1, 9.24.0-9.a.1.1, $\ldots$	$[ ]$	$1$
15.a1	15a5	15.a	15a	$8$	$16$	\( 3 \cdot 5 \)	\( 3^{4} \cdot 5 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	16.96.0.148	2B	$480$	$768$	$13$	$1$	$1$		$0$	$4$	$0.290870$	$1114544804970241/405$	$1.07354$	$12.79416$	$2$	$[1, 1, 1, -2160, -39540]$	\(y^2+xy+y=x^3+x^2-2160x-39540\)	2.3.0.a.1, 4.12.0-4.c.1.2, 8.48.0-8.bb.2.3, 10.6.0.a.1, 16.96.0-16.x.2.4, $\ldots$	$[ ]$	$1$
17.a1	17a3	17.a	17a	$4$	$4$	\( 17 \)	\( 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	32.96.0.18	2B	$1088$	$1536$	$53$	$1$	$1$		$0$	$4$	$-0.376636$	$82483294977/17$	$1.03131$	$8.87186$	$2$	$[1, -1, 1, -91, -310]$	\(y^2+xy+y=x^3-x^2-91x-310\)	2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.o.1.3, 16.48.0-16.j.1.3, 32.96.0-32.f.2.1, $\ldots$	$[ ]$	$2$
19.a1	19a2	19.a	19a	$3$	$9$	\( 19 \)	\( -19 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓		$3$	27.72.0.2	3B.1.2	$1026$	$1296$	$43$	$1$	$1$		$0$	$3$	$0.033439$	$-50357871050752/19$	$1.10495$	$10.71517$	$1$	$[0, 1, 1, -769, -8470]$	\(y^2+y=x^3+x^2-769x-8470\)	3.8.0-3.a.1.1, 9.24.0-9.a.1.1, 27.72.0-27.a.1.1, 38.2.0.a.1, 114.16.0.?, $\ldots$	$[ ]$	$1$
20.a1	20a4	20.a	20a	$4$	$6$	\( 2^{2} \cdot 5 \)	\( 2^{4} \cdot 5^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	8.12.0.22, 3.8.0.2	2B, 3B.1.2	$120$	$384$	$9$	$1$	$1$		$1$	$6$	$-0.380644$	$488095744/125$	$1.07376$	$7.60369$	$2$	$[0, 1, 0, -41, -116]$	\(y^2=x^3+x^2-41x-116\)	2.3.0.a.1, 3.8.0-3.a.1.1, 4.6.0.b.1, 6.24.0-6.a.1.2, 8.12.0-4.b.1.2, $\ldots$	$[ ]$	$2$
21.a1	21a5	21.a	21a	$6$	$8$	\( 3 \cdot 7 \)	\( 3 \cdot 7^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	16.48.0.48	2B	$336$	$192$	$1$	$1$	$1$		$0$	$4$	$0.074205$	$53297461115137/147$	$1.05087$	$10.38157$	$2$	$[1, 0, 0, -784, -8515]$	\(y^2+xy=x^3-784x-8515\)	2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.n.1.6, 12.24.0-12.h.1.1, 16.48.0-16.e.2.5, $\ldots$	$[ ]$	$1$
24.a1	24a5	24.a	24a	$6$	$8$	\( 2^{3} \cdot 3 \)	\( 2^{11} \cdot 3^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.96.0.135	2B	$48$	$192$	$1$	$1$	$1$		$1$	$4$	$0.047795$	$3065617154/9$	$1.21059$	$9.27238$	$2$	$[0, -1, 0, -384, -2772]$	\(y^2=x^3-x^2-384x-2772\)	2.3.0.a.1, 4.12.0-4.c.1.2, 8.48.0-8.r.1.6, 16.96.0-16.l.1.6, 24.96.0-24.bf.1.4, $\ldots$	$[ ]$	$1$
26.a1	26a2	26.a	26a	$3$	$9$	\( 2 \cdot 13 \)	\( - 2^{9} \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓		$3$	9.24.0.3	3B.1.2	$936$	$144$	$3$	$1$	$1$		$0$	$6$	$0.054386$	$-10730978619193/6656$	$1.02193$	$9.20911$	$1$	$[1, 0, 1, -460, -3830]$	\(y^2+xy+y=x^3-460x-3830\)	3.8.0-3.a.1.1, 9.24.0-9.a.1.1, 104.2.0.?, 117.72.0.?, 312.16.0.?, $\ldots$	$[ ]$	$1$
26.b1	26b2	26.b	26b	$2$	$7$	\( 2 \cdot 13 \)	\( - 2 \cdot 13^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓		$7$	7.48.0.5	7B.1.3	$728$	$96$	$2$	$1$	$1$		$0$	$14$	$0.289794$	$-1064019559329/125497034$	$1.06269$	$8.55670$	$1$	$[1, -1, 1, -213, -1257]$	\(y^2+xy+y=x^3-x^2-213x-1257\)	7.48.0-7.a.2.2, 104.2.0.?, 728.96.2.?	$[ ]$	$1$
27.a1	27a2	27.a	27a	$4$	$27$	\( 3^{3} \)	\( - 3^{11} \)	$0$	$\mathsf{trivial}$	$\Q(\sqrt{-3})$	$-27$	$N(\mathrm{U}(1))$		✓	$3$	27.648.13.34	3B.1.2				$1$	$1$		$0$	$3$	$0.052148$	$-12288000$	$1.23864$	$8.61966$	$1$	$[0, 0, 1, -270, -1708]$	\(y^2+y=x^3-270x-1708\)		$[ ]$	$1$
30.a1	30a7	30.a	30a	$8$	$12$	\( 2 \cdot 3 \cdot 5 \)	\( 2^{3} \cdot 3^{4} \cdot 5^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2, 3$	8.12.0.7, 3.8.0.2	2B, 3B.1.2	$120$	$384$	$5$	$1$	$1$		$0$	$24$	$0.564166$	$16778985534208729/81000$	$1.08181$	$10.98404$	$2$	$[1, 0, 1, -5334, -150368]$	\(y^2+xy+y=x^3-5334x-150368\)	2.3.0.a.1, 3.8.0-3.a.1.1, 4.6.0.c.1, 6.24.0-6.a.1.2, 8.12.0-4.c.1.3, $\ldots$	$[ ]$	$1$
32.a1	32a3	32.a	32a	$4$	$4$	\( 2^{5} \)	\( 2^{9} \)	$0$	$\Z/2\Z$	$\Q(\sqrt{-1})$	$-16$	$N(\mathrm{U}(1))$		✓	$2$	16.192.3.554	2B				$1$	$1$		$1$	$4$	$-0.617386$	$287496$	$1.17246$	$5.42664$	$2$	$[0, 0, 0, -11, -14]$	\(y^2=x^3-11x-14\)		$[ ]$	$2$
33.a1	33a3	33.a	33a	$4$	$4$	\( 3 \cdot 11 \)	\( 3^{3} \cdot 11^{4} \)	$0$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	4.12.0.7	2B	$264$	$48$	$0$	$1$	$1$		$2$	$6$	$-0.012632$	$347873904937/395307$	$1.00913$	$7.60047$	$1$	$[1, 1, 0, -146, 621]$	\(y^2+xy=x^3+x^2-146x+621\)	2.3.0.a.1, 4.12.0-4.c.1.1, 12.24.0-12.h.1.2, 88.24.0.?, 264.48.0.?	$[ ]$	$1$
34.a1	34a4	34.a	34a	$4$	$6$	\( 2 \cdot 17 \)	\( 2 \cdot 17^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2, 3$	8.6.0.6, 3.8.0.2	2B, 3B.1.2	$408$	$96$	$1$	$1$	$1$		$0$	$12$	$0.179487$	$159661140625/48275138$	$1.06848$	$7.31528$	$1$	$[1, 0, 0, -113, -329]$	\(y^2+xy=x^3-113x-329\)	2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 8.6.0.b.1, 24.48.0-24.y.1.13, $\ldots$	$[ ]$	$1$
35.a1	35a2	35.a	35a	$3$	$9$	\( 5 \cdot 7 \)	\( - 5^{9} \cdot 7 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓		$3$	9.24.0.3	3B.1.2	$630$	$144$	$3$	$1$	$1$		$0$	$6$	$0.127462$	$-250523582464/13671875$	$1.02112$	$7.40770$	$1$	$[0, 1, 1, -131, -650]$	\(y^2+y=x^3+x^2-131x-650\)	3.8.0-3.a.1.1, 9.24.0-9.a.1.1, 63.72.0-63.e.2.2, 70.2.0.a.1, 210.16.0.?, $\ldots$	$[ ]$	$1$
36.a1	36a4	36.a	36a	$4$	$6$	\( 2^{2} \cdot 3^{2} \)	\( 2^{8} \cdot 3^{9} \)	$0$	$\Z/2\Z$	$\Q(\sqrt{-3})$	$-12$	$N(\mathrm{U}(1))$		✓	$3$	27.648.18.4	3B.1.2				$1$	$1$		$1$	$6$	$0.080464$	$54000$	$1.02720$	$7.34737$	$1$	$[0, 0, 0, -135, -594]$	\(y^2=x^3-135x-594\)		$[ ]$	$1$
37.a1	37a1	37.a	37a	$1$	$1$	\( 37 \)	\( 37 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$74$	$2$	$0$	$0.051111408$	$1$		$10$	$2$	$-0.996542$	$110592/37$	$0.76978$	$3.21625$	$1$	$[0, 0, 1, -1, 0]$	\(y^2+y=x^3-x\)	74.2.0.?	$[(0, 0)]$	$1$
37.b1	37b2	37.b	37b	$3$	$9$	\( 37 \)	\( 37 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓		$3$	27.72.0.2	3B.1.2	$1998$	$1296$	$43$	$1$	$1$		$0$	$6$	$0.222082$	$727057727488000/37$	$1.08598$	$9.47682$	$1$	$[0, 1, 1, -1873, -31833]$	\(y^2+y=x^3+x^2-1873x-31833\)	3.8.0-3.a.1.1, 9.24.0-9.a.1.1, 27.72.0-27.a.1.1, 74.2.0.?, 222.16.0.?, $\ldots$	$[ ]$	$1$
38.a1	38a2	38.a	38a	$3$	$9$	\( 2 \cdot 19 \)	\( - 2^{27} \cdot 19 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓		$3$	27.72.0.2	3B.1.2	$4104$	$1296$	$43$	$1$	$1$		$0$	$18$	$0.485169$	$-69173457625/2550136832$	$1.05462$	$8.00798$	$1$	$[1, 0, 1, -86, -2456]$	\(y^2+xy+y=x^3-86x-2456\)	3.8.0-3.a.1.1, 9.24.0-9.a.1.1, 27.72.0-27.a.1.1, 152.2.0.?, 171.72.0.?, $\ldots$	$[ ]$	$1$
38.b1	38b2	38.b	38b	$2$	$5$	\( 2 \cdot 19 \)	\( - 2 \cdot 19^{5} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓		$5$	5.24.0.3	5B.1.2	$760$	$48$	$1$	$1$	$1$		$0$	$10$	$0.017785$	$-37966934881/4952198$	$0.97714$	$6.75262$	$1$	$[1, 1, 1, -70, -279]$	\(y^2+xy+y=x^3+x^2-70x-279\)	5.24.0-5.a.2.2, 152.2.0.?, 760.48.1.?	$[ ]$	$1$
39.a1	39a2	39.a	39a	$4$	$4$	\( 3 \cdot 13 \)	\( 3^{4} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	4.12.0.8	2B	$312$	$48$	$0$	$1$	$1$		$0$	$4$	$-0.318367$	$37159393753/1053$	$1.11616$	$6.64339$	$2$	$[1, 1, 0, -69, -252]$	\(y^2+xy=x^3+x^2-69x-252\)	2.3.0.a.1, 4.12.0-4.c.1.2, 24.24.0-24.ba.1.16, 26.6.0.b.1, 52.24.0-52.g.1.1, $\ldots$	$[ ]$	$1$
40.a1	40a2	40.a	40a	$4$	$4$	\( 2^{3} \cdot 5 \)	\( 2^{10} \cdot 5 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.48.0.55	2B	$80$	$192$	$3$	$1$	$1$		$1$	$4$	$-0.202214$	$132304644/5$	$1.13632$	$6.94848$	$2$	$[0, 0, 0, -107, -426]$	\(y^2=x^3-107x-426\)	2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.o.1.3, 10.6.0.a.1, 16.48.0-16.i.1.3, $\ldots$	$[ ]$	$1$
42.a1	42a4	42.a	42a	$6$	$8$	\( 2 \cdot 3 \cdot 7 \)	\( 2^{2} \cdot 3^{2} \cdot 7 \)	$0$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	16.96.0.103	2B	$112$	$192$	$1$	$1$	$1$		$2$	$16$	$0.189101$	$268498407453697/252$	$1.05727$	$8.88893$	$2$	$[1, 1, 1, -1344, 18405]$	\(y^2+xy+y=x^3+x^2-1344x+18405\)	2.3.0.a.1, 4.12.0-4.c.1.1, 8.48.0-8.bb.2.4, 16.96.0-16.z.2.3, 28.24.0-28.h.1.2, $\ldots$	$[ ]$	$1$
43.a1	43a1	43.a	43a	$1$	$1$	\( 43 \)	\( -43 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$86$	$2$	$0$	$0.062816507$	$1$		$10$	$2$	$-1.004431$	$-4096/43$	$0.78068$	$2.99627$	$1$	$[0, 1, 1, 0, 0]$	\(y^2+y=x^3+x^2\)	86.2.0.?	$[(0, 0)]$	$1$
44.a1	44a2	44.a	44a	$2$	$3$	\( 2^{2} \cdot 11 \)	\( - 2^{8} \cdot 11^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.8.0.2	3B.1.2	$66$	$16$	$0$	$1$	$1$		$0$	$6$	$-0.102988$	$-199794688/1331$	$0.99506$	$6.51908$	$1$	$[0, 1, 0, -77, -289]$	\(y^2=x^3+x^2-77x-289\)	3.8.0-3.a.1.1, 22.2.0.a.1, 66.16.0-66.a.1.1	$[ ]$	$1$
45.a1	45a7	45.a	45a	$8$	$16$	\( 3^{2} \cdot 5 \)	\( 3^{10} \cdot 5 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.96.0.51	2B	$480$	$768$	$13$	$1$	$1$		$0$	$32$	$0.840176$	$1114544804970241/405$	$1.07354$	$10.83335$	$2$	$[1, -1, 0, -19440, 1048135]$	\(y^2+xy=x^3-x^2-19440x+1048135\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 10.6.0.a.1, 12.12.0-4.c.1.1, $\ldots$	$[ ]$	$1$
46.a1	46a2	46.a	46a	$2$	$2$	\( 2 \cdot 23 \)	\( 2^{5} \cdot 23^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.6.0.6	2B	$184$	$12$	$0$	$1$	$1$		$0$	$10$	$-0.091908$	$545138290809/16928$	$1.08081$	$7.05846$	$1$	$[1, -1, 0, -170, -812]$	\(y^2+xy=x^3-x^2-170x-812\)	2.3.0.a.1, 8.6.0.b.1, 92.6.0.?, 184.12.0.?	$[ ]$	$1$
48.a1	48a5	48.a	48a	$6$	$8$	\( 2^{4} \cdot 3 \)	\( 2^{11} \cdot 3^{2} \)	$0$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.96.0.93	2B	$48$	$192$	$1$	$1$	$1$		$3$	$8$	$0.047795$	$3065617154/9$	$1.21059$	$7.61214$	$2$	$[0, 1, 0, -384, 2772]$	\(y^2=x^3+x^2-384x+2772\)	2.3.0.a.1, 4.12.0-4.c.1.1, 8.48.0-8.r.1.2, 16.96.0-16.l.1.2, 24.96.0-24.bf.1.8, $\ldots$	$[ ]$	$1$
49.a1	49a4	49.a	49a	$4$	$14$	\( 7^{2} \)	\( 7^{9} \)	$0$	$\Z/2\Z$	$\Q(\sqrt{-7})$	$-28$	$N(\mathrm{U}(1))$		✓	$7$	7.48.0.3	7B.1.2				$1$	$1$		$0$	$14$	$0.520391$	$16581375$	$1.19804$	$8.77147$	$1$	$[1, -1, 0, -1822, 30393]$	\(y^2+xy=x^3-x^2-1822x+30393\)		$[ ]$	$1$
50.a1	50a2	50.a	50a	$4$	$15$	\( 2 \cdot 5^{2} \)	\( - 2^{3} \cdot 5^{4} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2, 3, 5$	8.2.0.1, 3.8.0.2, 5.24.0.4	3B.1.2, 5B.1.3	$120$	$384$	$9$	$1$	$1$		$0$	$6$	$-0.176793$	$-349938025/8$	$1.05078$	$6.67457$	$1$	$[1, 0, 1, -126, -552]$	\(y^2+xy+y=x^3-126x-552\)	3.8.0-3.a.1.1, 5.24.0-5.a.2.1, 8.2.0.a.1, 15.192.1-15.a.1.1, 24.16.0-24.a.1.6, $\ldots$	$[ ]$	$1$
50.b1	50b4	50.b	50b	$4$	$15$	\( 2 \cdot 5^{2} \)	\( - 2^{3} \cdot 5^{10} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2, 3, 5$	8.2.0.1, 3.4.0.1, 5.24.0.3	3B, 5B.1.2	$120$	$384$	$9$	$1$	$1$		$0$	$30$	$0.627926$	$-349938025/8$	$1.05078$	$9.14302$	$1$	$[1, 1, 1, -3138, -68969]$	\(y^2+xy+y=x^3+x^2-3138x-68969\)	3.4.0.a.1, 5.24.0-5.a.2.2, 8.2.0.a.1, 15.192.1-15.a.1.3, 24.8.0.a.1, $\ldots$	$[ ]$	$1$
51.a1	51a2	51.a	51a	$2$	$3$	\( 3 \cdot 17 \)	\( - 3 \cdot 17^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓		$3$	3.8.0.2	3B.1.2	$102$	$16$	$0$	$1$	$1$		$0$	$6$	$-0.259223$	$-23100424192/14739$	$1.03897$	$6.06950$	$1$	$[0, 1, 1, -59, -196]$	\(y^2+y=x^3+x^2-59x-196\)	3.8.0-3.a.1.1, 102.16.0.?	$[ ]$	$1$
52.a1	52a2	52.a	52a	$2$	$2$	\( 2^{2} \cdot 13 \)	\( 2^{4} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.22	2B	$104$	$48$	$0$	$1$	$1$		$1$	$6$	$-0.777873$	$442368/13$	$1.27279$	$3.99178$	$2$	$[0, 0, 0, -4, -3]$	\(y^2=x^3-4x-3\)	2.3.0.a.1, 4.6.0.b.1, 8.12.0-4.b.1.2, 26.6.0.b.1, 52.24.0.e.1, $\ldots$	$[ ]$	$2$
53.a1	53a1	53.a	53a	$1$	$1$	\( 53 \)	\( -53 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$212$	$2$	$0$	$0.092981484$	$1$		$8$	$2$	$-0.988547$	$3375/53$	$0.83211$	$2.86817$	$1$	$[1, -1, 1, 0, 0]$	\(y^2+xy+y=x^3-x^2\)	212.2.0.?	$[(0, 0)]$	$1$
54.a1	54a2	54.a	54a	$3$	$9$	\( 2 \cdot 3^{3} \)	\( - 2^{9} \cdot 3^{11} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	9.72.0.11	3B.1.2	$72$	$144$	$3$	$1$	$1$		$0$	$18$	$0.234102$	$-1167051/512$	$1.04966$	$6.67312$	$1$	$[1, -1, 0, -123, -667]$	\(y^2+xy=x^3-x^2-123x-667\)	3.8.0-3.a.1.1, 9.72.0-9.d.1.1, 24.16.0-24.d.1.7, 72.144.3.?	$[ ]$	$1$
54.b1	54b2	54.b	54b	$3$	$9$	\( 2 \cdot 3^{3} \)	\( - 2 \cdot 3^{9} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	9.72.0.12	3B.1.2	$72$	$144$	$3$	$1$	$1$		$0$	$6$	$-0.315205$	$-132651/2$	$1.09453$	$5.44216$	$1$	$[1, -1, 1, -29, -53]$	\(y^2+xy+y=x^3-x^2-29x-53\)	3.8.0-3.a.1.1, 9.72.0-9.d.2.2, 24.16.0-24.d.1.7, 72.144.3.?	$[ ]$	$1$
55.a1	55a3	55.a	55a	$4$	$4$	\( 5 \cdot 11 \)	\( 5^{4} \cdot 11 \)	$0$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	4.12.0.7	2B	$440$	$48$	$0$	$1$	$1$		$2$	$4$	$-0.285666$	$22930509321/6875$	$1.07717$	$5.95302$	$1$	$[1, -1, 0, -59, 190]$	\(y^2+xy=x^3-x^2-59x+190\)	2.3.0.a.1, 4.12.0-4.c.1.1, 40.24.0-40.z.1.4, 44.24.0-44.h.1.2, 440.48.0.?	$[ ]$	$1$
56.a1	56a4	56.a	56a	$4$	$4$	\( 2^{3} \cdot 7 \)	\( 2^{11} \cdot 7 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.103	2B	$56$	$48$	$0$	$1$	$1$		$1$	$8$	$-0.002033$	$1443468546/7$	$1.04654$	$7.13352$	$2$	$[0, 0, 0, -299, 1990]$	\(y^2=x^3-299x+1990\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.p.1.7, 28.12.0-4.c.1.1, 56.48.0-56.bp.1.3	$[ ]$	$1$
56.b1	56b2	56.b	56b	$2$	$2$	\( 2^{3} \cdot 7 \)	\( 2^{11} \cdot 7^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$56$	$12$	$0$	$1$	$1$		$1$	$8$	$-0.234669$	$3543122/49$	$1.08036$	$5.64054$	$1$	$[0, -1, 0, -40, -84]$	\(y^2=x^3-x^2-40x-84\)	2.3.0.a.1, 8.6.0.b.1, 28.6.0.c.1, 56.12.0.k.1	$[ ]$	$1$
57.a1	57a1	57.a	57a	$1$	$1$	\( 3 \cdot 19 \)	\( - 3^{2} \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$38$	$2$	$0$	$0.037574592$	$1$		$12$	$4$	$-0.836549$	$-1404928/171$	$0.86512$	$3.54841$	$1$	$[0, -1, 1, -2, 2]$	\(y^2+y=x^3-x^2-2x+2\)	38.2.0.a.1	$[(2, 1)]$	$1$
57.b1	57c2	57.b	57c	$2$	$5$	\( 3 \cdot 19 \)	\( - 3^{2} \cdot 19^{5} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓		$5$	5.24.0.3	5B.1.2	$190$	$48$	$1$	$1$	$1$		$0$	$60$	$0.651407$	$-9358714467168256/22284891$	$1.06833$	$9.09587$	$1$	$[0, 1, 1, -4390, -113432]$	\(y^2+y=x^3+x^2-4390x-113432\)	5.24.0-5.a.2.2, 38.2.0.a.1, 190.48.1.?	$[ ]$	$1$
57.c1	57b3	57.c	57b	$4$	$4$	\( 3 \cdot 19 \)	\( 3^{4} \cdot 19 \)	$0$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	4.12.0.7	2B	$456$	$48$	$0$	$1$	$1$		$2$	$6$	$-0.245009$	$115714886617/1539$	$0.98111$	$6.30078$	$1$	$[1, 0, 1, -102, 385]$	\(y^2+xy+y=x^3-102x+385\)	2.3.0.a.1, 4.12.0-4.c.1.1, 24.24.0-24.z.1.8, 76.24.0.?, 456.48.0.?	$[ ]$	$1$
58.a1	58a1	58.a	58a	$1$	$1$	\( 2 \cdot 29 \)	\( - 2^{2} \cdot 29 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$116$	$2$	$0$	$0.042420307$	$1$		$12$	$4$	$-0.902228$	$-185193/116$	$0.85122$	$3.16780$	$1$	$[1, -1, 0, -1, 1]$	\(y^2+xy=x^3-x^2-x+1\)	116.2.0.?	$[(0, 1)]$	$1$
58.b1	58b2	58.b	58b	$2$	$5$	\( 2 \cdot 29 \)	\( - 2^{2} \cdot 29^{5} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓		$5$	5.24.0.3	5B.1.2	$580$	$48$	$1$	$1$	$1$		$0$	$20$	$0.347164$	$-10418796526321/82044596$	$0.99481$	$7.38544$	$1$	$[1, 1, 1, -455, -3951]$	\(y^2+xy+y=x^3+x^2-455x-3951\)	5.24.0-5.a.2.2, 116.2.0.?, 580.48.1.?	$[ ]$	$1$
61.a1	61a1	61.a	61a	$1$	$1$	\( 61 \)	\( -61 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$244$	$2$	$0$	$0.079187731$	$1$		$8$	$2$	$-0.905458$	$-912673/61$	$0.79530$	$3.36508$	$1$	$[1, 0, 0, -2, 1]$	\(y^2+xy=x^3-2x+1\)	244.2.0.?	$[(1, 0)]$	$1$
62.a1	62a4	62.a	62a	$4$	$4$	\( 2 \cdot 31 \)	\( 2 \cdot 31 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.24.0.103	2B	$248$	$48$	$0$	$1$	$1$		$0$	$8$	$-0.108078$	$3999236143617/62$	$1.07559$	$7.03082$	$2$	$[1, -1, 1, -331, 2397]$	\(y^2+xy+y=x^3-x^2-331x+2397\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.p.1.7, 124.12.0.?, 248.48.0.?	$[ ]$	$1$
63.a1	63a5	63.a	63a	$6$	$8$	\( 3^{2} \cdot 7 \)	\( 3^{7} \cdot 7^{2} \)	$0$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.48.0.38	2B	$336$	$192$	$1$	$1$	$1$		$2$	$32$	$0.623511$	$53297461115137/147$	$1.05087$	$9.21973$	$1$	$[1, -1, 0, -7056, 229905]$	\(y^2+xy=x^3-x^2-7056x+229905\)	2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.n.1.12, 12.24.0-12.h.1.2, 16.48.0-16.e.2.10, $\ldots$	$[ ]$	$1$
64.a1	64a2	64.a	64a	$4$	$4$	\( 2^{6} \)	\( 2^{15} \)	$0$	$\Z/2\Z$	$\Q(\sqrt{-1})$	$-16$	$N(\mathrm{U}(1))$		✓	$2$	16.192.3.563	2B				$1$	$1$		$1$	$4$	$-0.270812$	$287496$	$1.17246$	$5.52220$	$2$	$[0, 0, 0, -44, -112]$	\(y^2=x^3-44x-112\)		$[ ]$	$1$
65.a1	65a1	65.a	65a	$2$	$2$	\( 5 \cdot 13 \)	\( 5 \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.12.0.22	2B	$520$	$48$	$0$	$0.375514098$	$1$		$7$	$2$	$-0.961616$	$117649/65$	$0.95681$	$2.79693$	$2$	$[1, 0, 0, -1, 0]$	\(y^2+xy=x^3-x\)	2.3.0.a.1, 4.6.0.b.1, 8.12.0-4.b.1.2, 130.6.0.?, 260.24.0.?, $\ldots$	$[(1, 0)]$	$1$

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