Elliptic curve search results

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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
15.a2	15a2	15.a	15a	$8$	$16$	$3 \cdot 5$	$3^{8} \cdot 5^{2}$	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.96.0.58	2Cs	$240$	$768$	$13$	$1$	$1$		$2$	$2$	$-0.055704$	$272223782641/164025$	$1.03897$	$9.72282$	$[1, 1, 1, -135, -660]$	$y^2+xy+y=x^3+x^2-135x-660$	2.6.0.a.1, 4.24.0-4.b.1.1, 8.96.0-8.k.1.1, 20.48.0-20.c.1.2, 40.192.1-40.cc.2.4, $\ldots$	$[]$
15.a4	15a7	15.a	15a	$8$	$16$	$3 \cdot 5$	$3 \cdot 5$	$0$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	32.96.0.5	2B	$480$	$768$	$13$	$1$	$1$		$2$	$4$	$-0.402277$	$56667352321/15$	$1.03019$	$9.14328$	$[1, 1, 1, -80, 242]$	$y^2+xy+y=x^3+x^2-80x+242$	2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.n.1.2, 16.48.0-16.g.1.2, 24.48.0-24.by.2.3, $\ldots$	$[]$
15.a7	15a8	15.a	15a	$8$	$16$	$3 \cdot 5$	$- 3 \cdot 5$	$0$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	32.96.0.5	2B	$480$	$768$	$13$	$1$	$1$		$3$	$4$	$-1.095425$	$-1/15$	$1.19808$	$3.75281$	$[1, 1, 1, 0, 0]$	$y^2+xy+y=x^3+x^2$	2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.n.1.2, 16.48.0-16.g.1.2, 24.48.0-24.bz.1.3, $\ldots$	$[]$
17.a2	17a2	17.a	17a	$4$	$4$	$17$	$17^{2}$	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	16.96.0.13	2Cs	$544$	$1536$	$53$	$1$	$1$		$2$	$2$	$-0.723209$	$20346417/289$	$1.02963$	$5.93969$	$[1, -1, 1, -6, -4]$	$y^2+xy+y=x^3-x^2-6x-4$	2.6.0.a.1, 4.24.0-4.a.1.1, 8.48.0-8.f.1.1, 16.96.0-16.c.2.2, 68.48.0-68.b.1.1, $\ldots$	$[]$
17.a3	17a1	17.a	17a	$4$	$4$	$17$	$- 17^{4}$	$0$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	16.96.0.32	2B	$1088$	$1536$	$53$	$1$	$1$		$2$	$1$	$-0.376636$	$-35937/83521$	$1.18071$	$6.63128$	$[1, -1, 1, -1, -14]$	$y^2+xy+y=x^3-x^2-x-14$	2.3.0.a.1, 4.24.0-4.d.1.1, 8.48.0-8.t.1.2, 16.96.0-16.m.2.1, 136.96.1.?, $\ldots$	$[]$
17.a4	17a4	17.a	17a	$4$	$4$	$17$	$17$	$0$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	32.96.0.10	2B	$1088$	$1536$	$53$	$1$	$1$		$3$	$4$	$-1.069784$	$35937/17$	$1.02432$	$3.70234$	$[1, -1, 1, -1, 0]$	$y^2+xy+y=x^3-x^2-x$	2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.o.1.1, 16.48.0-16.j.1.1, 32.96.0-32.f.2.2, $\ldots$	$[]$
21.a2	21a2	21.a	21a	$6$	$8$	$3 \cdot 7$	$3^{2} \cdot 7^{4}$	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.48.0.34	2Cs	$168$	$192$	$1$	$1$	$1$		$2$	$2$	$-0.272368$	$13027640977/21609$	$1.08149$	$7.64992$	$[1, 0, 0, -49, -136]$	$y^2+xy=x^3-49x-136$	2.6.0.a.1, 4.24.0-4.b.1.1, 8.48.0-8.e.1.1, 12.48.0-12.c.1.3, 24.96.0-24.j.2.5, $\ldots$	$[]$
21.a6	21a4	21.a	21a	$6$	$8$	$3 \cdot 7$	$- 3^{2} \cdot 7$	$0$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	16.48.0.27	2B	$336$	$192$	$1$	$1$	$1$		$3$	$2$	$-0.965515$	$103823/63$	$0.97868$	$3.79384$	$[1, 0, 0, 1, 0]$	$y^2+xy=x^3+x$	2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.n.1.2, 14.6.0.b.1, 16.48.0-16.e.1.2, $\ldots$	$[]$
24.a2	24a3	24.a	24a	$6$	$8$	$2^{3} \cdot 3$	$2^{10} \cdot 3$	$0$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.96.0.106	2B	$48$	$192$	$1$	$1$	$1$		$3$	$2$	$-0.298779$	$28756228/3$	$1.05617$	$7.58509$	$[0, -1, 0, -64, 220]$	$y^2=x^3-x^2-64x+220$	2.3.0.a.1, 4.12.0-4.c.1.1, 8.48.0-8.bb.2.4, 12.24.0-12.h.1.2, 16.96.0-16.bb.2.4, $\ldots$	$[]$
24.a3	24a2	24.a	24a	$6$	$8$	$2^{3} \cdot 3$	$2^{10} \cdot 3^{4}$	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.96.0.49	2Cs	$24$	$192$	$1$	$1$	$1$		$3$	$2$	$-0.298779$	$1556068/81$	$1.03212$	$6.66733$	$[0, -1, 0, -24, -36]$	$y^2=x^3-x^2-24x-36$	2.6.0.a.1, 4.24.0-4.b.1.1, 8.96.0-8.e.2.2, 24.192.1-24.bl.2.4	$[]$
24.a5	24a4	24.a	24a	$6$	$8$	$2^{3} \cdot 3$	$- 2^{4} \cdot 3$	$0$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.96.0.110	2B	$48$	$192$	$1$	$1$	$1$		$3$	$2$	$-0.991926$	$2048/3$	$1.17572$	$3.40564$	$[0, -1, 0, 1, 0]$	$y^2=x^3-x^2+x$	2.3.0.a.1, 4.12.0-4.c.1.1, 6.6.0.a.1, 8.48.0-8.ba.1.2, 12.24.0-12.g.1.2, $\ldots$	$[]$
30.a3	30a6	30.a	30a	$8$	$12$	$2 \cdot 3 \cdot 5$	$2^{6} \cdot 3^{2} \cdot 5^{6}$	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2, 3$	8.12.0.1, 3.8.0.2	2Cs, 3B.1.2	$120$	$384$	$5$	$1$	$1$		$2$	$12$	$0.217592$	$4102915888729/9000000$	$1.05221$	$8.53897$	$[1, 0, 1, -334, -2368]$	$y^2+xy+y=x^3-334x-2368$	2.6.0.a.1, 3.8.0-3.a.1.1, 6.48.0-6.a.1.2, 8.12.0-2.a.1.1, 12.96.0-12.a.1.15, $\ldots$	$[]$
32.a2	32a4	32.a	32a	$4$	$4$	$2^{5}$	$2^{9}$	$0$	$\Z/4\Z$	$\Q(\sqrt{-1})$	$-16$	$N(\mathrm{U}(1))$		✓	$2$	16.192.3.540	2B				$1$	$1$		$3$	$4$	$-0.617386$	$287496$	$1.17246$	$5.42664$	$[0, 0, 0, -11, 14]$	$y^2=x^3-11x+14$		$[]$
32.a3	32a2	32.a	32a	$4$	$4$	$2^{5}$	$2^{6}$	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q(\sqrt{-1})$	$-4$	$N(\mathrm{U}(1))$		✓	$2$	16.384.9.568	2Cs				$1$	$1$		$3$	$2$	$-0.963960$	$1728$		$3.35098$	$[0, 0, 0, -1, 0]$	$y^2=x^3-x$		$[]$
32.a4	32a1	32.a	32a	$4$	$4$	$2^{5}$	$- 2^{12}$	$0$	$\Z/4\Z$	$\Q(\sqrt{-1})$	$-4$	$N(\mathrm{U}(1))$		✓	$2$	16.384.9.633	2B				$1$	$1$		$3$	$1$	$-0.617386$	$1728$		$4.55098$	$[0, 0, 0, 4, 0]$	$y^2=x^3+4x$		$[]$
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	$264$	$48$	$0$	$1$	$1$		$2$	$6$	$-0.012632$	$347873904937/395307$	$1.00913$	$7.60047$	$[1, 1, 0, -146, 621]$	$y^2+xy=x^3+x^2-146x+621$	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.?	$[]$
33.a2	33a1	33.a	33a	$4$	$4$	$3 \cdot 11$	$3^{6} \cdot 11^{2}$	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	4.12.0.1	2Cs	$132$	$48$	$0$	$1$	$1$		$2$	$3$	$-0.359206$	$169112377/88209$	$1.00669$	$5.41857$	$[1, 1, 0, -11, 0]$	$y^2+xy=x^3+x^2-11x$	2.6.0.a.1, 4.12.0-2.a.1.1, 12.24.0-12.a.1.1, 44.24.0-44.b.1.2, 132.48.0.?	$[]$
39.a2	39a3	39.a	39a	$4$	$4$	$3 \cdot 13$	$3 \cdot 13^{4}$	$0$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	4.12.0.7	2B	$312$	$48$	$0$	$1$	$1$		$2$	$4$	$-0.318367$	$822656953/85683$	$0.96086$	$5.60330$	$[1, 1, 0, -19, 22]$	$y^2+xy=x^3+x^2-19x+22$	2.3.0.a.1, 4.12.0-4.c.1.1, 12.24.0-12.h.1.2, 104.24.0.?, 312.48.0.?	$[]$
39.a3	39a1	39.a	39a	$4$	$4$	$3 \cdot 13$	$3^{2} \cdot 13^{2}$	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	4.12.0.1	2Cs	$156$	$48$	$0$	$1$	$1$		$2$	$2$	$-0.664940$	$10218313/1521$	$0.91403$	$4.40546$	$[1, 1, 0, -4, -5]$	$y^2+xy=x^3+x^2-4x-5$	2.6.0.a.1, 4.12.0-2.a.1.1, 12.24.0-12.a.1.1, 52.24.0-52.b.1.2, 156.48.0.?	$[]$
40.a2	40a1	40.a	40a	$4$	$4$	$2^{3} \cdot 5$	$2^{8} \cdot 5^{2}$	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.39	2Cs	$40$	$192$	$3$	$1$	$1$		$3$	$2$	$-0.548787$	$148176/25$	$1.09175$	$4.73080$	$[0, 0, 0, -7, -6]$	$y^2=x^3-7x-6$	2.6.0.a.1, 4.24.0-4.a.1.1, 8.48.0-8.g.1.1, 20.48.0-20.b.1.1, 40.192.3-40.bk.1.5	$[]$
40.a3	40a3	40.a	40a	$4$	$4$	$2^{3} \cdot 5$	$2^{4} \cdot 5$	$0$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.48.0.39	2B	$80$	$192$	$3$	$1$	$1$		$3$	$4$	$-0.895361$	$55296/5$	$1.01898$	$3.71198$	$[0, 0, 0, -2, 1]$	$y^2=x^3-2x+1$	2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.o.1.1, 10.6.0.a.1, 16.48.0-16.i.1.1, $\ldots$	$[]$
40.a4	40a4	40.a	40a	$4$	$4$	$2^{3} \cdot 5$	$- 2^{10} \cdot 5^{4}$	$0$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.48.0.2	2B	$80$	$192$	$3$	$1$	$1$		$3$	$4$	$-0.202214$	$237276/625$	$1.04671$	$5.57781$	$[0, 0, 0, 13, -34]$	$y^2=x^3+13x-34$	2.3.0.a.1, 4.48.0-4.c.1.1, 40.96.1-40.dk.1.1, 80.192.3.?	$[]$
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	$112$	$192$	$1$	$1$	$1$		$2$	$16$	$0.189101$	$268498407453697/252$	$1.05727$	$8.88893$	$[1, 1, 1, -1344, 18405]$	$y^2+xy+y=x^3+x^2-1344x+18405$	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, $\ldots$	$[]$
42.a3	42a3	42.a	42a	$6$	$8$	$2 \cdot 3 \cdot 7$	$2^{2} \cdot 3^{8} \cdot 7^{4}$	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.96.0.50	2Cs	$56$	$192$	$1$	$1$	$1$		$2$	$16$	$0.189101$	$124475734657/63011844$	$1.06499$	$6.83511$	$[1, 1, 1, -104, 101]$	$y^2+xy+y=x^3+x^2-104x+101$	2.6.0.a.1, 4.24.0-4.b.1.1, 8.96.0-8.f.1.1, 56.192.1-56.bp.2.4	$[]$
45.a2	45a5	45.a	45a	$8$	$16$	$3^{2} \cdot 5$	$3^{14} \cdot 5^{2}$	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.96.0.56	2Cs	$240$	$768$	$13$	$1$	$1$		$2$	$16$	$0.493602$	$272223782641/164025$	$1.03897$	$8.64841$	$[1, -1, 0, -1215, 16600]$	$y^2+xy=x^3-x^2-1215x+16600$	2.6.0.a.1, 4.12.0.b.1, 8.48.0.k.1, 12.24.0-4.b.1.1, 16.96.0-8.k.1.2, $\ldots$	$[]$
45.a5	45a4	45.a	45a	$8$	$16$	$3^{2} \cdot 5$	$3^{10} \cdot 5^{4}$	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.96.0.87	2Cs	$240$	$768$	$13$	$1$	$1$		$2$	$8$	$0.147029$	$111284641/50625$	$1.02534$	$6.59877$	$[1, -1, 0, -90, 175]$	$y^2+xy=x^3-x^2-90x+175$	2.6.0.a.1, 4.24.0.b.1, 8.96.0-8.b.2.6, 12.48.0-4.b.1.1, 24.192.1-24.n.1.8, $\ldots$	$[]$
45.a6	45a2	45.a	45a	$8$	$16$	$3^{2} \cdot 5$	$3^{8} \cdot 5^{2}$	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.96.0.33	2Cs	$240$	$768$	$13$	$1$	$1$		$2$	$4$	$-0.199545$	$13997521/225$	$0.96230$	$6.05414$	$[1, -1, 0, -45, -104]$	$y^2+xy=x^3-x^2-45x-104$	2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.i.1.6, 12.24.0-4.b.1.3, 16.96.0-16.d.2.4, $\ldots$	$[]$
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	$48$	$192$	$1$	$1$	$1$		$3$	$8$	$0.047795$	$3065617154/9$	$1.21059$	$7.61214$	$[0, 1, 0, -384, 2772]$	$y^2=x^3+x^2-384x+2772$	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, $\ldots$	$[]$
48.a4	48a1	48.a	48a	$6$	$8$	$2^{4} \cdot 3$	$2^{8} \cdot 3^{2}$	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.96.0.53	2Cs	$24$	$192$	$1$	$1$	$1$		$3$	$2$	$-0.645352$	$35152/9$	$0.97255$	$4.13634$	$[0, 1, 0, -4, -4]$	$y^2=x^3+x^2-4x-4$	2.6.0.a.1, 4.24.0-4.b.1.1, 8.96.0-8.h.1.2, 12.48.0-12.c.1.3, 24.192.1-24.bu.1.1	$[]$
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	$440$	$48$	$0$	$1$	$1$		$2$	$4$	$-0.285666$	$22930509321/6875$	$1.07717$	$5.95302$	$[1, -1, 0, -59, 190]$	$y^2+xy=x^3-x^2-59x+190$	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.?	$[]$
55.a3	55a1	55.a	55a	$4$	$4$	$5 \cdot 11$	$5^{2} \cdot 11^{2}$	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	4.12.0.1	2Cs	$220$	$48$	$0$	$1$	$1$		$2$	$2$	$-0.632239$	$8120601/3025$	$1.05560$	$3.97020$	$[1, -1, 0, -4, 3]$	$y^2+xy=x^3-x^2-4x+3$	2.6.0.a.1, 4.12.0-2.a.1.1, 20.24.0-20.b.1.2, 44.24.0-44.a.1.1, 220.48.0.?	$[]$
56.a3	56a2	56.a	56a	$4$	$4$	$2^{3} \cdot 7$	$2^{10} \cdot 7^{2}$	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.1	2Cs	$56$	$48$	$0$	$1$	$1$		$3$	$4$	$-0.348607$	$740772/49$	$1.06534$	$5.07954$	$[0, 0, 0, -19, 30]$	$y^2=x^3-19x+30$	2.6.0.a.1, 4.12.0-2.a.1.1, 8.24.0-8.a.1.2, 28.24.0-28.b.1.1, 56.48.0-56.d.1.3	$[]$
56.a4	56a1	56.a	56a	$4$	$4$	$2^{3} \cdot 7$	$- 2^{8} \cdot 7$	$0$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.50	2B	$56$	$48$	$0$	$1$	$1$		$3$	$2$	$-0.695180$	$432/7$	$0.89152$	$3.70389$	$[0, 0, 0, 1, 2]$	$y^2=x^3+x+2$	2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.p.1.1, 14.6.0.b.1, 28.24.0-28.g.1.2, $\ldots$	$[]$
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	$456$	$48$	$0$	$1$	$1$		$2$	$6$	$-0.245009$	$115714886617/1539$	$0.98111$	$6.30078$	$[1, 0, 1, -102, 385]$	$y^2+xy+y=x^3-102x+385$	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.?	$[]$
57.c2	57b1	57.c	57b	$4$	$4$	$3 \cdot 19$	$3^{2} \cdot 19^{2}$	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	4.12.0.1	2Cs	$228$	$48$	$0$	$1$	$1$		$2$	$3$	$-0.591582$	$30664297/3249$	$0.90727$	$4.26376$	$[1, 0, 1, -7, 5]$	$y^2+xy+y=x^3-7x+5$	2.6.0.a.1, 4.12.0-2.a.1.1, 12.24.0-12.b.1.2, 76.24.0.?, 228.48.0.?	$[]$
62.a3	62a2	62.a	62a	$4$	$4$	$2 \cdot 31$	$2^{2} \cdot 31^{2}$	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.24.0.1	2Cs	$248$	$48$	$0$	$1$	$1$		$2$	$4$	$-0.454651$	$979146657/3844$	$1.02504$	$5.01612$	$[1, -1, 1, -21, 41]$	$y^2+xy+y=x^3-x^2-21x+41$	2.6.0.a.1, 4.12.0-2.a.1.1, 8.24.0-8.a.1.2, 124.24.0.?, 248.48.0.?	$[]$
62.a4	62a1	62.a	62a	$4$	$4$	$2 \cdot 31$	$- 2^{4} \cdot 31$	$0$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.24.0.50	2B	$248$	$48$	$0$	$1$	$1$		$3$	$2$	$-0.801225$	$-35937/496$	$0.93090$	$3.32007$	$[1, -1, 1, -1, 1]$	$y^2+xy+y=x^3-x^2-x+1$	2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.p.1.1, 62.6.0.b.1, 124.24.0.?, $\ldots$	$[]$
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	$336$	$192$	$1$	$1$	$1$		$2$	$32$	$0.623511$	$53297461115137/147$	$1.05087$	$9.21973$	$[1, -1, 0, -7056, 229905]$	$y^2+xy=x^3-x^2-7056x+229905$	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, $\ldots$	$[]$
63.a2	63a4	63.a	63a	$6$	$8$	$3^{2} \cdot 7$	$3^{8} \cdot 7^{4}$	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.18	2Cs	$168$	$192$	$1$	$1$	$1$		$2$	$16$	$0.276938$	$13027640977/21609$	$1.08149$	$7.21242$	$[1, -1, 0, -441, 3672]$	$y^2+xy=x^3-x^2-441x+3672$	2.6.0.a.1, 4.24.0-4.b.1.2, 8.48.0-8.e.1.8, 12.48.0-12.c.1.2, 24.96.0-24.j.2.4, $\ldots$	$[]$
63.a5	63a2	63.a	63a	$6$	$8$	$3^{2} \cdot 7$	$3^{10} \cdot 7^{2}$	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.66	2Cs	$168$	$192$	$1$	$1$	$1$		$2$	$8$	$-0.069636$	$7189057/3969$	$1.14862$	$5.40165$	$[1, -1, 0, -36, 27]$	$y^2+xy=x^3-x^2-36x+27$	2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.e.2.6, 12.24.0-4.b.1.3, 24.96.0-24.w.2.1, $\ldots$	$[]$
64.a2	64a3	64.a	64a	$4$	$4$	$2^{6}$	$2^{15}$	$0$	$\Z/4\Z$	$\Q(\sqrt{-1})$	$-16$	$N(\mathrm{U}(1))$		✓	$2$	16.192.3.545	2B				$1$	$1$		$3$	$4$	$-0.270812$	$287496$	$1.17246$	$5.52220$	$[0, 0, 0, -44, 112]$	$y^2=x^3-44x+112$		$[]$
64.a3	64a1	64.a	64a	$4$	$4$	$2^{6}$	$2^{12}$	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q(\sqrt{-1})$	$-4$	$N(\mathrm{U}(1))$		✓	$2$	16.384.9.462	2Cs				$1$	$1$		$3$	$2$	$-0.617386$	$1728$		$3.79248$	$[0, 0, 0, -4, 0]$	$y^2=x^3-4x$		$[]$
66.b2	66b2	66.b	66b	$4$	$4$	$2 \cdot 3 \cdot 11$	$2^{2} \cdot 3^{2} \cdot 11^{2}$	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.24.0.4	2Cs	$264$	$48$	$0$	$1$	$1$		$2$	$8$	$-0.441527$	$1180932193/4356$	$0.96736$	$4.98599$	$[1, 1, 1, -22, -49]$	$y^2+xy+y=x^3+x^2-22x-49$	2.6.0.a.1, 4.12.0-2.a.1.1, 8.24.0-8.b.1.2, 132.24.0.?, 264.48.0.?	$[]$
66.b4	66b1	66.b	66b	$4$	$4$	$2 \cdot 3 \cdot 11$	$2^{4} \cdot 3 \cdot 11$	$0$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.24.0.53	2B	$264$	$48$	$0$	$1$	$1$		$3$	$4$	$-0.788101$	$912673/528$	$1.18336$	$3.27572$	$[1, 1, 1, -2, -1]$	$y^2+xy+y=x^3+x^2-2x-1$	2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.m.1.1, 66.6.0.a.1, 132.24.0.?, $\ldots$	$[]$
70.a3	70a2	70.a	70a	$4$	$4$	$2 \cdot 5 \cdot 7$	$2^{2} \cdot 5^{4} \cdot 7^{2}$	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.24.0.1	2Cs	$56$	$48$	$0$	$1$	$1$		$2$	$8$	$-0.307586$	$611960049/122500$	$1.02632$	$4.76220$	$[1, -1, 1, -18, -19]$	$y^2+xy+y=x^3-x^2-18x-19$	2.6.0.a.1, 4.12.0-2.a.1.1, 8.24.0-8.a.1.2, 28.24.0-28.b.1.1, 56.48.0-56.d.1.3	$[]$
70.a4	70a1	70.a	70a	$4$	$4$	$2 \cdot 5 \cdot 7$	$- 2^{4} \cdot 5^{2} \cdot 7$	$0$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.24.0.50	2B	$56$	$48$	$0$	$1$	$1$		$3$	$4$	$-0.654160$	$1367631/2800$	$1.00023$	$3.54476$	$[1, -1, 1, 2, -3]$	$y^2+xy+y=x^3-x^2+2x-3$	2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.p.1.1, 14.6.0.b.1, 28.24.0-28.g.1.2, $\ldots$	$[]$
72.a3	72a4	72.a	72a	$6$	$8$	$2^{3} \cdot 3^{2}$	$2^{10} \cdot 3^{10}$	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.96.0.107	2Cs	$24$	$192$	$1$	$1$	$1$		$3$	$16$	$0.250527$	$1556068/81$	$1.03212$	$6.49591$	$[0, 0, 0, -219, 1190]$	$y^2=x^3-219x+1190$	2.6.0.a.1, 4.12.0.b.1, 8.96.0-8.e.2.4, 12.24.0-4.b.1.1, 24.192.1-24.bl.2.1	$[]$
72.a4	72a2	72.a	72a	$6$	$8$	$2^{3} \cdot 3^{2}$	$2^{8} \cdot 3^{8}$	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.96.0.32	2Cs	$24$	$192$	$1$	$1$	$1$		$3$	$8$	$-0.096046$	$35152/9$	$0.97255$	$5.28549$	$[0, 0, 0, -39, -70]$	$y^2=x^3-39x-70$	2.6.0.a.1, 4.24.0-4.b.1.2, 8.96.0-8.h.1.7, 12.48.0-12.c.1.4, 24.192.1-24.bu.1.2	$[]$
72.a5	72a1	72.a	72a	$6$	$8$	$2^{3} \cdot 3^{2}$	$- 2^{4} \cdot 3^{7}$	$0$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.96.0.130	2B	$48$	$192$	$1$	$1$	$1$		$3$	$4$	$-0.442620$	$2048/3$	$1.17572$	$4.07209$	$[0, 0, 0, 6, -7]$	$y^2=x^3+6x-7$	2.3.0.a.1, 4.12.0-4.c.1.1, 6.6.0.a.1, 8.48.0-8.ba.1.7, 12.24.0-12.g.1.2, $\ldots$	$[]$
75.b2	75b5	75.b	75b	$8$	$16$	$3 \cdot 5^{2}$	$3^{8} \cdot 5^{8}$	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.96.0.31	2Cs	$240$	$768$	$13$	$1$	$1$		$2$	$48$	$0.749015$	$272223782641/164025$	$1.03897$	$8.33506$	$[1, 0, 1, -3376, -75727]$	$y^2+xy+y=x^3-3376x-75727$	2.6.0.a.1, 4.24.0-4.b.1.2, 8.96.0-8.k.1.7, 20.48.0-20.c.1.3, 40.192.1-40.cc.2.5, $\ldots$	$[]$

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