LMFDB - Elliptic curve search results

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Conductor	Discriminant	j-invariant	Rank

Bad$\ p$	Curves per isogeny class	Complex multiplication	Torsion

Isogeny class degree	Cyclic isogeny degree	Isogeny class size	Integral points

Analytic order of Ш	$p\ $div$\ $\|Ш\|	Regulator	Reduction	Faltings height

Galois image	Adelic level	Adelic index	Adelic genus

Nonmax$\ \ell$	$abc$ quality	Szpiro ratio

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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	$Ш_{\textrm{an}}$	Integral points	Modular degree	Faltings height	j-invariant	$abc$ quality	Szpiro ratio	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators
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	$504$	$864$	$21$	$1$	$1$	$0$	$6$	$0.413101$	$2251439055699625/25088$	$1.06489$	$13.39507$	$[1, 0, 1, -2731, -55146]$	$y^2+xy+y=x^3-2731x-55146$	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, $\ldots$	$[]$
14.a2	14a3	14.a	14a	$6$	$18$	$ 2 \cdot 7 $	$ - 2^{18} \cdot 7 $	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2, 3$	8.6.0.1, 9.24.0.3	2B, 3B.1.2	$504$	$864$	$21$	$1$	$1$	$1$	$3$	$0.066527$	$-548347731625/1835008$	$1.02933$	$10.24454$	$[1, 0, 1, -171, -874]$	$y^2+xy+y=x^3-171x-874$	2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 8.6.0.c.1, 9.24.0-9.a.1.1, $\ldots$	$[]$
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	$480$	$768$	$13$	$1$	$1$	$0$	$4$	$0.290870$	$1114544804970241/405$	$1.07354$	$12.79416$	$[1, 1, 1, -2160, -39540]$	$y^2+xy+y=x^3+x^2-2160x-39540$	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, $\ldots$	$[]$
15.a3	15a6	15.a	15a	$8$	$16$	$ 3 \cdot 5 $	$ - 3^{16} \cdot 5 $	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	16.96.0.153	2B	$480$	$768$	$13$	$1$	$1$	$0$	$4$	$0.290870$	$-147281603041/215233605$	$1.05949$	$9.96125$	$[1, 1, 1, -110, -880]$	$y^2+xy+y=x^3+x^2-110x-880$	2.3.0.a.1, 4.12.0-4.c.1.2, 8.48.0-8.ba.2.6, 16.96.0-16.u.2.3, 20.24.0-20.h.1.1, $\ldots$	$[]$
17.a1	17a3	17.a	17a	$4$	$4$	$ 17 $	$ 17 $	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	32.96.0.18	2B	$1088$	$1536$	$53$	$1$	$1$	$0$	$4$	$-0.376636$	$82483294977/17$	$1.03131$	$8.87186$	$[1, -1, 1, -91, -310]$	$y^2+xy+y=x^3-x^2-91x-310$	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, $\ldots$	$[]$
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	$120$	$384$	$9$	$1$	$1$	$1$	$6$	$-0.380644$	$488095744/125$	$1.07376$	$7.60369$	$[0, 1, 0, -41, -116]$	$y^2=x^3+x^2-41x-116$	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, $\ldots$	$[]$
20.a2	20a3	20.a	20a	$4$	$6$	$ 2^{2} \cdot 5 $	$ - 2^{8} \cdot 5^{6} $	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	8.12.0.37, 3.8.0.2	2B, 3B.1.2	$120$	$384$	$9$	$1$	$1$	$1$	$3$	$-0.034070$	$-20720464/15625$	$0.95894$	$7.75305$	$[0, 1, 0, -36, -140]$	$y^2=x^3+x^2-36x-140$	2.3.0.a.1, 3.8.0-3.a.1.1, 4.6.0.a.1, 6.24.0-6.a.1.2, 8.12.0-4.a.1.1, $\ldots$	$[]$
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	$336$	$192$	$1$	$1$	$1$	$0$	$4$	$0.074205$	$53297461115137/147$	$1.05087$	$10.38157$	$[1, 0, 0, -784, -8515]$	$y^2+xy=x^3-784x-8515$	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, $\ldots$	$[]$
21.a4	21a6	21.a	21a	$6$	$8$	$ 3 \cdot 7 $	$ - 3 \cdot 7^{8} $	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.48.0.177	2B	$336$	$192$	$1$	$1$	$1$	$0$	$4$	$0.074205$	$-4354703137/17294403$	$1.04266$	$7.96731$	$[1, 0, 0, -34, -217]$	$y^2+xy=x^3-34x-217$	2.3.0.a.1, 4.12.0-4.c.1.2, 6.6.0.a.1, 8.48.0-8.bb.2.3, 12.24.0-12.g.1.1, $\ldots$	$[]$
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	$48$	$192$	$1$	$1$	$1$	$1$	$4$	$0.047795$	$3065617154/9$	$1.21059$	$9.27238$	$[0, -1, 0, -384, -2772]$	$y^2=x^3-x^2-384x-2772$	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, $\ldots$	$[]$
24.a6	24a6	24.a	24a	$6$	$8$	$ 2^{3} \cdot 3 $	$ - 2^{11} \cdot 3^{8} $	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.96.0.166	2B	$48$	$192$	$1$	$1$	$1$	$1$	$4$	$0.047795$	$207646/6561$	$1.15980$	$7.50451$	$[0, -1, 0, 16, -180]$	$y^2=x^3-x^2+16x-180$	2.3.0.a.1, 4.12.0-4.c.1.2, 8.96.0-8.m.1.2, 48.192.1-48.w.2.4	$[]$
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	$120$	$384$	$5$	$1$	$1$	$0$	$24$	$0.564166$	$16778985534208729/81000$	$1.08181$	$10.98404$	$[1, 0, 1, -5334, -150368]$	$y^2+xy+y=x^3-5334x-150368$	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, $\ldots$	$[]$
30.a2	30a8	30.a	30a	$8$	$12$	$ 2 \cdot 3 \cdot 5 $	$ 2^{3} \cdot 3 \cdot 5^{12} $	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2, 3$	8.12.0.8, 3.8.0.2	2B, 3B.1.2	$120$	$384$	$5$	$1$	$1$	$0$	$24$	$0.564166$	$10316097499609/5859375000$	$1.13600$	$8.81005$	$[1, 0, 1, -454, -544]$	$y^2+xy+y=x^3-454x-544$	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.1.4, $\ldots$	$[]$
30.a7	30a3	30.a	30a	$8$	$12$	$ 2 \cdot 3 \cdot 5 $	$ - 2^{12} \cdot 3 \cdot 5^{3} $	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2, 3$	8.12.0.12, 3.8.0.2	2B, 3B.1.2	$120$	$384$	$5$	$1$	$1$	$1$	$6$	$-0.128981$	$-273359449/1536000$	$1.04920$	$6.40875$	$[1, 0, 1, -14, -64]$	$y^2+xy+y=x^3-14x-64$	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.1.2, $\ldots$	$[]$
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				$1$	$1$	$1$	$4$	$-0.617386$	$287496$	$1.17246$	$5.42664$	$[0, 0, 0, -11, -14]$	$y^2=x^3-11x-14$		$[]$
33.a3	33a2	33.a	33a	$4$	$4$	$ 3 \cdot 11 $	$ 3^{3} \cdot 11 $	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.12.0.6	2B	$264$	$48$	$0$	$1$	$1$	$1$	$6$	$-0.705779$	$30664297/297$	$1.09706$	$4.93024$	$[1, 1, 0, -6, -9]$	$y^2+xy=x^3+x^2-6x-9$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 12.12.0-4.c.1.2, 24.24.0-24.ba.1.4, $\ldots$	$[]$
33.a4	33a4	33.a	33a	$4$	$4$	$ 3 \cdot 11 $	$ - 3^{12} \cdot 11 $	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	4.12.0.8	2B	$264$	$48$	$0$	$1$	$1$	$0$	$6$	$-0.012632$	$9090072503/5845851$	$1.03763$	$6.55810$	$[1, 1, 0, 44, 55]$	$y^2+xy=x^3+x^2+44x+55$	2.3.0.a.1, 4.12.0-4.c.1.2, 22.6.0.a.1, 24.24.0-24.ba.1.16, 44.24.0-44.g.1.1, $\ldots$	$[]$
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	$408$	$96$	$1$	$1$	$1$	$0$	$12$	$0.179487$	$159661140625/48275138$	$1.06848$	$7.31528$	$[1, 0, 0, -113, -329]$	$y^2+xy=x^3-113x-329$	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, $\ldots$	$[]$
34.a2	34a3	34.a	34a	$4$	$6$	$ 2 \cdot 17 $	$ 2^{2} \cdot 17^{3} $	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2, 3$	8.6.0.1, 3.8.0.2	2B, 3B.1.2	$408$	$96$	$1$	$1$	$1$	$1$	$6$	$-0.167086$	$120920208625/19652$	$0.98564$	$7.23647$	$[1, 0, 0, -103, -411]$	$y^2+xy=x^3-103x-411$	2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 8.6.0.c.1, 24.48.0-24.bw.1.11, $\ldots$	$[]$
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				$1$	$1$	$1$	$6$	$0.080464$	$54000$	$1.02720$	$7.34737$	$[0, 0, 0, -135, -594]$	$y^2=x^3-135x-594$		$[]$
36.a3	36a3	36.a	36a	$4$	$6$	$ 2^{2} \cdot 3^{2} $	$ - 2^{4} \cdot 3^{9} $	$0$	$\Z/2\Z$	$\Q(\sqrt{-3})$	$-3$	$N(\mathrm{U}(1))$		✓	$2, 3$	16.192.9.83, 27.648.18.4	2B, 3B.1.2				$1$	$1$	$1$	$3$	$-0.266109$	$0$		$5.61315$	$[0, 0, 0, 0, -27]$	$y^2=x^3-27$		$[]$
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	$312$	$48$	$0$	$1$	$1$	$0$	$4$	$-0.318367$	$37159393753/1053$	$1.11616$	$6.64339$	$[1, 1, 0, -69, -252]$	$y^2+xy=x^3+x^2-69x-252$	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, $\ldots$	$[]$
39.a4	39a4	39.a	39a	$4$	$4$	$ 3 \cdot 13 $	$ - 3 \cdot 13 $	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.12.0.6	2B	$312$	$48$	$0$	$1$	$1$	$1$	$4$	$-1.011513$	$12167/39$	$0.85844$	$2.98048$	$[1, 1, 0, 1, 0]$	$y^2+xy=x^3+x^2+x$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 12.12.0-4.c.1.2, 24.24.0-24.ba.1.4, $\ldots$	$[]$
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	$80$	$192$	$3$	$1$	$1$	$1$	$4$	$-0.202214$	$132304644/5$	$1.13632$	$6.94848$	$[0, 0, 0, -107, -426]$	$y^2=x^3-107x-426$	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, $\ldots$	$[]$
42.a2	42a5	42.a	42a	$6$	$8$	$ 2 \cdot 3 \cdot 7 $	$ 2 \cdot 3^{4} \cdot 7^{8} $	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.96.0.164	2B	$112$	$192$	$1$	$1$	$1$	$0$	$32$	$0.535675$	$84448510979617/933897762$	$1.05309$	$8.57945$	$[1, 1, 1, -914, -10915]$	$y^2+xy+y=x^3+x^2-914x-10915$	2.3.0.a.1, 4.12.0-4.c.1.2, 8.96.0-8.p.1.4, 112.192.1.?	$[]$
42.a6	42a6	42.a	42a	$6$	$8$	$ 2 \cdot 3 \cdot 7 $	$ - 2 \cdot 3^{16} \cdot 7^{2} $	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	16.96.0.137	2B	$112$	$192$	$1$	$1$	$1$	$0$	$32$	$0.535675$	$6359387729183/4218578658$	$1.08314$	$7.88752$	$[1, 1, 1, 386, 1277]$	$y^2+xy+y=x^3+x^2+386x+1277$	2.3.0.a.1, 4.12.0-4.c.1.2, 8.48.0-8.k.1.6, 16.96.0-16.e.1.6, 56.96.0-56.bc.1.4, $\ldots$	$[]$
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	$480$	$768$	$13$	$1$	$1$	$0$	$32$	$0.840176$	$1114544804970241/405$	$1.07354$	$10.83335$	$[1, -1, 0, -19440, 1048135]$	$y^2+xy=x^3-x^2-19440x+1048135$	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, $\ldots$	$[]$
45.a3	45a8	45.a	45a	$8$	$16$	$ 3^{2} \cdot 5 $	$ - 3^{22} \cdot 5 $	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.96.0.67	2B	$480$	$768$	$13$	$1$	$1$	$0$	$32$	$0.840176$	$-147281603041/215233605$	$1.05949$	$8.81802$	$[1, -1, 0, -990, 22765]$	$y^2+xy=x^3-x^2-990x+22765$	2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.2, 12.12.0-4.c.1.1, 16.48.0.u.2, $\ldots$	$[]$
45.a4	45a3	45.a	45a	$8$	$16$	$ 3^{2} \cdot 5 $	$ 3^{7} \cdot 5 $	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.96.0.77	2B	$480$	$768$	$13$	$1$	$1$	$0$	$8$	$0.147029$	$56667352321/15$	$1.03019$	$8.23612$	$[1, -1, 0, -720, -7259]$	$y^2+xy=x^3-x^2-720x-7259$	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.5, 12.12.0-4.c.1.2, 16.48.0-16.g.1.12, $\ldots$	$[]$
45.a7	45a1	45.a	45a	$8$	$16$	$ 3^{2} \cdot 5 $	$ - 3^{7} \cdot 5 $	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.96.0.31	2B	$480$	$768$	$13$	$1$	$1$	$1$	$2$	$-0.546119$	$-1/15$	$1.19808$	$4.40136$	$[1, -1, 0, 0, -5]$	$y^2+xy=x^3-x^2-5$	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.1, 12.12.0-4.c.1.2, 16.48.0-16.g.1.16, $\ldots$	$[]$
45.a8	45a6	45.a	45a	$8$	$16$	$ 3^{2} \cdot 5 $	$ - 3^{8} \cdot 5^{8} $	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.96.0.172	2B	$480$	$768$	$13$	$1$	$1$	$0$	$16$	$0.493602$	$4733169839/3515625$	$1.05585$	$7.58395$	$[1, -1, 0, 315, 1066]$	$y^2+xy=x^3-x^2+315x+1066$	2.3.0.a.1, 4.12.0.d.1, 8.96.0-8.n.2.4, 12.24.0-4.d.1.1, 24.192.1-24.cv.2.1, $\ldots$	$[]$
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	$184$	$12$	$0$	$1$	$1$	$0$	$10$	$-0.091908$	$545138290809/16928$	$1.08081$	$7.05846$	$[1, -1, 0, -170, -812]$	$y^2+xy=x^3-x^2-170x-812$	2.3.0.a.1, 8.6.0.b.1, 92.6.0.?, 184.12.0.?	$[]$
46.a2	46a1	46.a	46a	$2$	$2$	$ 2 \cdot 23 $	$ - 2^{10} \cdot 23 $	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.6.0.1	2B	$184$	$12$	$0$	$1$	$1$	$1$	$5$	$-0.438482$	$-116930169/23552$	$1.03422$	$4.93014$	$[1, -1, 0, -10, -12]$	$y^2+xy=x^3-x^2-10x-12$	2.3.0.a.1, 8.6.0.c.1, 46.6.0.a.1, 184.12.0.?	$[]$
48.a2	48a2	48.a	48a	$6$	$8$	$ 2^{4} \cdot 3 $	$ 2^{10} \cdot 3 $	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.96.0.150	2B	$48$	$192$	$1$	$1$	$1$	$1$	$4$	$-0.298779$	$28756228/3$	$1.05617$	$6.22697$	$[0, 1, 0, -64, -220]$	$y^2=x^3+x^2-64x-220$	2.3.0.a.1, 4.12.0-4.c.1.2, 8.48.0-8.bb.2.3, 12.24.0-12.h.1.1, 16.96.0-16.bb.2.3, $\ldots$	$[]$
48.a5	48a4	48.a	48a	$6$	$8$	$ 2^{4} \cdot 3 $	$ - 2^{4} \cdot 3 $	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.96.0.142	2B	$48$	$192$	$1$	$1$	$1$	$1$	$4$	$-0.991926$	$2048/3$	$1.17572$	$2.79585$	$[0, 1, 0, 1, 0]$	$y^2=x^3+x^2+x$	2.3.0.a.1, 4.12.0-4.c.1.2, 6.6.0.a.1, 8.48.0-8.ba.1.1, 12.24.0-12.g.1.1, $\ldots$	$[]$
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				$1$	$1$	$0$	$14$	$0.520391$	$16581375$	$1.19804$	$8.77147$	$[1, -1, 0, -1822, 30393]$	$y^2+xy=x^3-x^2-1822x+30393$		$[]$
49.a2	49a3	49.a	49a	$4$	$14$	$ 7^{2} $	$ - 7^{9} $	$0$	$\Z/2\Z$	$\Q(\sqrt{-7})$	$-7$	$N(\mathrm{U}(1))$		✓	$7$	7.48.0.3	7B.1.2				$1$	$1$	$1$	$7$	$0.173817$	$-3375$	$0.98030$	$6.69373$	$[1, -1, 0, -107, 552]$	$y^2+xy=x^3-x^2-107x+552$		$[]$
49.a3	49a2	49.a	49a	$4$	$14$	$ 7^{2} $	$ 7^{3} $	$0$	$\Z/2\Z$	$\Q(\sqrt{-7})$	$-28$	$N(\mathrm{U}(1))$		✓	$7$	7.48.0.6	7B.1.5				$1$	$1$	$0$	$2$	$-0.452565$	$16581375$	$1.19804$	$5.77147$	$[1, -1, 0, -37, -78]$	$y^2+xy=x^3-x^2-37x-78$		$[]$
49.a4	49a1	49.a	49a	$4$	$14$	$ 7^{2} $	$ - 7^{3} $	$0$	$\Z/2\Z$	$\Q(\sqrt{-7})$	$-7$	$N(\mathrm{U}(1))$		✓	$7$	7.48.0.6	7B.1.5				$1$	$1$	$1$	$1$	$-0.799138$	$-3375$	$0.98030$	$3.69373$	$[1, -1, 0, -2, -1]$	$y^2+xy=x^3-x^2-2x-1$		$[]$
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	$104$	$48$	$0$	$1$	$1$	$1$	$6$	$-0.777873$	$442368/13$	$1.27279$	$3.99178$	$[0, 0, 0, -4, -3]$	$y^2=x^3-4x-3$	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, $\ldots$	$[]$
52.a2	52a1	52.a	52a	$2$	$2$	$ 2^{2} \cdot 13 $	$ - 2^{8} \cdot 13^{2} $	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.37	2B	$104$	$48$	$0$	$1$	$1$	$1$	$3$	$-0.431299$	$432/169$	$1.09219$	$4.58800$	$[0, 0, 0, 1, -10]$	$y^2=x^3+x-10$	2.3.0.a.1, 4.6.0.a.1, 8.12.0-4.a.1.1, 52.12.0.d.1, 104.48.0.?	$[]$
55.a2	55a2	55.a	55a	$4$	$4$	$ 5 \cdot 11 $	$ 5 \cdot 11^{4} $	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	4.12.0.8	2B	$440$	$48$	$0$	$1$	$1$	$0$	$4$	$-0.285666$	$2749884201/73205$	$0.94591$	$5.42376$	$[1, -1, 0, -29, -52]$	$y^2+xy=x^3-x^2-29x-52$	2.3.0.a.1, 4.12.0-4.c.1.2, 10.6.0.a.1, 20.24.0-20.g.1.1, 88.24.0.?, $\ldots$	$[]$
55.a4	55a4	55.a	55a	$4$	$4$	$ 5 \cdot 11 $	$ - 5 \cdot 11 $	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.12.0.6	2B	$440$	$48$	$0$	$1$	$1$	$1$	$4$	$-0.978812$	$59319/55$	$0.79207$	$2.74264$	$[1, -1, 0, 1, 0]$	$y^2+xy=x^3-x^2+x$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 20.12.0-4.c.1.2, 40.24.0-40.z.1.10, $\ldots$	$[]$
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	$56$	$48$	$0$	$1$	$1$	$1$	$8$	$-0.002033$	$1443468546/7$	$1.04654$	$7.13352$	$[0, 0, 0, -299, 1990]$	$y^2=x^3-299x+1990$	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	$[]$
56.a2	56a3	56.a	56a	$4$	$4$	$ 2^{3} \cdot 7 $	$ 2^{11} \cdot 7^{4} $	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.58	2B	$56$	$48$	$0$	$1$	$1$	$1$	$8$	$-0.002033$	$11090466/2401$	$1.11706$	$5.92401$	$[0, 0, 0, -59, -138]$	$y^2=x^3-59x-138$	2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.k.1.1, 56.48.0-56.v.1.8	$[]$
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	$56$	$12$	$0$	$1$	$1$	$1$	$8$	$-0.234669$	$3543122/49$	$1.08036$	$5.64054$	$[0, -1, 0, -40, -84]$	$y^2=x^3-x^2-40x-84$	2.3.0.a.1, 8.6.0.b.1, 28.6.0.c.1, 56.12.0.k.1	$[]$
56.b2	56b1	56.b	56b	$2$	$2$	$ 2^{3} \cdot 7 $	$ - 2^{10} \cdot 7 $	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.1	2B	$56$	$12$	$0$	$1$	$1$	$1$	$4$	$-0.581243$	$-4/7$	$1.03482$	$4.05739$	$[0, -1, 0, 0, -4]$	$y^2=x^3-x^2-4$	2.3.0.a.1, 8.6.0.c.1, 14.6.0.b.1, 56.12.0.n.1	$[]$
57.c3	57b2	57.c	57b	$4$	$4$	$ 3 \cdot 19 $	$ 3 \cdot 19 $	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.12.0.6	2B	$456$	$48$	$0$	$1$	$1$	$1$	$6$	$-0.938156$	$389017/57$	$0.96267$	$3.18358$	$[1, 0, 1, -2, -1]$	$y^2+xy+y=x^3-2x-1$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 12.12.0-4.c.1.2, 24.24.0-24.z.1.4, $\ldots$	$[]$
57.c4	57b4	57.c	57b	$4$	$4$	$ 3 \cdot 19 $	$ - 3 \cdot 19^{4} $	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	4.12.0.8	2B	$456$	$48$	$0$	$1$	$1$	$0$	$6$	$-0.245009$	$67419143/390963$	$0.97474$	$5.00265$	$[1, 0, 1, 8, 29]$	$y^2+xy+y=x^3+8x+29$	2.3.0.a.1, 4.12.0-4.c.1.2, 6.6.0.a.1, 12.24.0-12.g.1.1, 152.24.0.?, $\ldots$	$[]$
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	$248$	$48$	$0$	$1$	$1$	$0$	$8$	$-0.108078$	$3999236143617/62$	$1.07559$	$7.03082$	$[1, -1, 1, -331, 2397]$	$y^2+xy+y=x^3-x^2-331x+2397$	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.p.1.7, 124.12.0.?, 248.48.0.?	$[]$

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