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	$\textrm{End}^0(E_{\overline\Q})$	Sato-Tate	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
96.a3	96b1	96.a	96b	$4$	$4$	$ 2^{5} \cdot 3 $	$ 2^{6} \cdot 3^{2} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.24.0.4	2Cs	$24$	$48$	$0$	$1$	$1$		$3$	$4$	$-0.772794$	$21952/9$	$1.09175$	$3.10132$	$[0, -1, 0, -2, 0]$	$y^2=x^3-x^2-2x$	2.6.0.a.1, 4.12.0-2.a.1.1, 8.24.0-8.b.1.2, 12.24.0-12.a.1.1, 24.48.0-24.f.1.3	$[]$
96.b3	96a1	96.b	96a	$4$	$4$	$ 2^{5} \cdot 3 $	$ 2^{6} \cdot 3^{2} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.24.0.3	2Cs	$24$	$48$	$0$	$1$	$1$		$3$	$4$	$-0.772794$	$21952/9$	$1.09175$	$3.10132$	$[0, 1, 0, -2, 0]$	$y^2=x^3+x^2-2x$	2.6.0.a.1, 4.12.0-2.a.1.1, 8.24.0-8.b.1.1, 12.24.0-12.a.1.2, 24.48.0-24.f.1.2	$[]$
192.a2	192a2	192.a	192a	$4$	$4$	$ 2^{6} \cdot 3 $	$ 2^{12} \cdot 3^{2} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.24.0.4	2Cs	$24$	$48$	$0$	$0.675801867$	$1$		$13$	$16$	$-0.426220$	$21952/9$	$1.09175$	$3.48348$	$[0, -1, 0, -9, 9]$	$y^2=x^3-x^2-9x+9$	2.6.0.a.1, 4.12.0-2.a.1.1, 8.24.0-8.b.1.2, 12.24.0-12.a.1.3, 24.48.0-24.f.1.8	$[(5, 8)]$
192.c2	192b2	192.c	192b	$4$	$4$	$ 2^{6} \cdot 3 $	$ 2^{12} \cdot 3^{2} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.24.0.3	2Cs	$24$	$48$	$0$	$1$	$1$		$3$	$16$	$-0.426220$	$21952/9$	$1.09175$	$3.48348$	$[0, 1, 0, -9, -9]$	$y^2=x^3+x^2-9x-9$	2.6.0.a.1, 4.12.0-2.a.1.1, 8.24.0-8.b.1.1, 12.24.0-12.a.1.3, 24.48.0-24.f.1.5	$[]$
288.b3	288b1	288.b	288b	$4$	$4$	$ 2^{5} \cdot 3^{2} $	$ 2^{6} \cdot 3^{8} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.24.0.6	2Cs	$24$	$48$	$0$	$1.240339345$	$1$		$9$	$32$	$-0.223488$	$21952/9$	$1.09175$	$3.66366$	$[0, 0, 0, -21, -20]$	$y^2=x^3-21x-20$	2.6.0.a.1, 4.12.0-2.a.1.1, 8.24.0-8.b.1.3, 12.24.0-12.a.1.1, 24.48.0-24.f.1.4	$[(-3, 4)]$
288.c3	288c1	288.c	288c	$4$	$4$	$ 2^{5} \cdot 3^{2} $	$ 2^{6} \cdot 3^{8} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.24.0.6	2Cs	$24$	$48$	$0$	$1$	$1$		$3$	$32$	$-0.223488$	$21952/9$	$1.09175$	$3.66366$	$[0, 0, 0, -21, 20]$	$y^2=x^3-21x+20$	2.6.0.a.1, 4.12.0-2.a.1.1, 8.24.0-8.b.1.3, 12.24.0-12.a.1.2, 24.48.0-24.f.1.1	$[]$
576.g2	576c2	576.g	576c	$4$	$4$	$ 2^{6} \cdot 3^{2} $	$ 2^{12} \cdot 3^{8} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.24.0.8	2Cs	$24$	$48$	$0$	$1$	$1$		$3$	$128$	$0.123086$	$21952/9$	$1.09175$	$3.91844$	$[0, 0, 0, -84, -160]$	$y^2=x^3-84x-160$	2.6.0.a.1, 4.12.0-2.a.1.2, 8.24.0-8.b.1.4, 12.24.0-12.a.1.4, 24.48.0-24.f.1.6	$[]$
576.h2	576b2	576.h	576b	$4$	$4$	$ 2^{6} \cdot 3^{2} $	$ 2^{12} \cdot 3^{8} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.24.0.8	2Cs	$24$	$48$	$0$	$1$	$1$		$3$	$128$	$0.123086$	$21952/9$	$1.09175$	$3.91844$	$[0, 0, 0, -84, 160]$	$y^2=x^3-84x+160$	2.6.0.a.1, 4.12.0-2.a.1.2, 8.24.0-8.b.1.4, 12.24.0-12.a.1.4, 24.48.0-24.f.1.7	$[]$
2400.q3	2400u1	2400.q	2400u	$4$	$4$	$ 2^{5} \cdot 3 \cdot 5^{2} $	$ 2^{6} \cdot 3^{2} \cdot 5^{6} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.4	2Cs	$120$	$48$	$0$	$1$	$1$		$3$	$512$	$0.031925$	$21952/9$	$1.09175$	$3.05942$	$[0, -1, 0, -58, 112]$	$y^2=x^3-x^2-58x+112$	2.6.0.a.1, 8.12.0.b.1, 12.12.0.a.1, 20.12.0-2.a.1.1, 24.24.0.f.1, $\ldots$	$[]$
2400.r3	2400m1	2400.r	2400m	$4$	$4$	$ 2^{5} \cdot 3 \cdot 5^{2} $	$ 2^{6} \cdot 3^{2} \cdot 5^{6} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.4	2Cs	$120$	$48$	$0$	$1$	$1$		$3$	$512$	$0.031925$	$21952/9$	$1.09175$	$3.05942$	$[0, 1, 0, -58, -112]$	$y^2=x^3+x^2-58x-112$	2.6.0.a.1, 8.12.0.b.1, 12.12.0.a.1, 20.12.0-2.a.1.1, 24.24.0.f.1, $\ldots$	$[]$
4704.e3	4704f1	4704.e	4704f	$4$	$4$	$ 2^{5} \cdot 3 \cdot 7^{2} $	$ 2^{6} \cdot 3^{2} \cdot 7^{6} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.4	2Cs	$168$	$48$	$0$	$1$	$1$		$3$	$1152$	$0.200161$	$21952/9$	$1.09175$	$3.05469$	$[0, -1, 0, -114, -216]$	$y^2=x^3-x^2-114x-216$	2.6.0.a.1, 8.12.0.b.1, 12.12.0.a.1, 24.24.0.f.1, 28.12.0-2.a.1.1, $\ldots$	$[]$
4704.t3	4704bf1	4704.t	4704bf	$4$	$4$	$ 2^{5} \cdot 3 \cdot 7^{2} $	$ 2^{6} \cdot 3^{2} \cdot 7^{6} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.4	2Cs	$168$	$48$	$0$	$1$	$1$		$3$	$1152$	$0.200161$	$21952/9$	$1.09175$	$3.05469$	$[0, 1, 0, -114, 216]$	$y^2=x^3+x^2-114x+216$	2.6.0.a.1, 8.12.0.b.1, 12.12.0.a.1, 24.24.0.f.1, 28.12.0-2.a.1.1, $\ldots$	$[]$
4800.f2	4800h2	4800.f	4800h	$4$	$4$	$ 2^{6} \cdot 3 \cdot 5^{2} $	$ 2^{12} \cdot 3^{2} \cdot 5^{6} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.4	2Cs	$120$	$48$	$0$	$1.148754157$	$1$		$13$	$2048$	$0.378499$	$21952/9$	$1.09175$	$3.29988$	$[0, -1, 0, -233, -663]$	$y^2=x^3-x^2-233x-663$	2.6.0.a.1, 8.12.0.b.1, 12.12.0.a.1, 20.12.0-2.a.1.1, 24.24.0.f.1, $\ldots$	$[(-8, 25)]$
4800.co2	4800x2	4800.co	4800x	$4$	$4$	$ 2^{6} \cdot 3 \cdot 5^{2} $	$ 2^{12} \cdot 3^{2} \cdot 5^{6} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.4	2Cs	$120$	$48$	$0$	$1$	$1$		$3$	$2048$	$0.378499$	$21952/9$	$1.09175$	$3.29988$	$[0, 1, 0, -233, 663]$	$y^2=x^3+x^2-233x+663$	2.6.0.a.1, 8.12.0.b.1, 12.12.0.a.1, 20.12.0-2.a.1.1, 24.24.0.f.1, $\ldots$	$[]$
7200.e3	7200bq1	7200.e	7200bq	$4$	$4$	$ 2^{5} \cdot 3^{2} \cdot 5^{2} $	$ 2^{6} \cdot 3^{8} \cdot 5^{6} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.4	2Cs	$120$	$48$	$0$	$1.574635946$	$1$		$9$	$4096$	$0.581231$	$21952/9$	$1.09175$	$3.42314$	$[0, 0, 0, -525, 2500]$	$y^2=x^3-525x+2500$	2.6.0.a.1, 8.12.0.b.1, 12.12.0.a.1, 20.12.0-2.a.1.1, 24.24.0.f.1, $\ldots$	$[(0, 50)]$
7200.bx3	7200o1	7200.bx	7200o	$4$	$4$	$ 2^{5} \cdot 3^{2} \cdot 5^{2} $	$ 2^{6} \cdot 3^{8} \cdot 5^{6} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.4	2Cs	$120$	$48$	$0$	$1$	$1$		$3$	$4096$	$0.581231$	$21952/9$	$1.09175$	$3.42314$	$[0, 0, 0, -525, -2500]$	$y^2=x^3-525x-2500$	2.6.0.a.1, 8.12.0.b.1, 12.12.0.a.1, 20.12.0-2.a.1.1, 24.24.0.f.1, $\ldots$	$[]$
9408.bj2	9408k2	9408.bj	9408k	$4$	$4$	$ 2^{6} \cdot 3 \cdot 7^{2} $	$ 2^{12} \cdot 3^{2} \cdot 7^{6} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.4	2Cs	$168$	$48$	$0$	$1$	$1$		$3$	$4608$	$0.546735$	$21952/9$	$1.09175$	$3.27782$	$[0, -1, 0, -457, 2185]$	$y^2=x^3-x^2-457x+2185$	2.6.0.a.1, 8.12.0.b.1, 12.12.0.a.1, 24.24.0.f.1, 28.12.0-2.a.1.1, $\ldots$	$[]$
9408.ct2	9408bg2	9408.ct	9408bg	$4$	$4$	$ 2^{6} \cdot 3 \cdot 7^{2} $	$ 2^{12} \cdot 3^{2} \cdot 7^{6} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.4	2Cs	$168$	$48$	$0$	$2.706473032$	$1$		$7$	$4608$	$0.546735$	$21952/9$	$1.09175$	$3.27782$	$[0, 1, 0, -457, -2185]$	$y^2=x^3+x^2-457x-2185$	2.6.0.a.1, 8.12.0.b.1, 12.12.0.a.1, 24.24.0.f.1, 28.12.0-2.a.1.1, $\ldots$	$[(31, 120)]$
11616.k3	11616e1	11616.k	11616e	$4$	$4$	$ 2^{5} \cdot 3 \cdot 11^{2} $	$ 2^{6} \cdot 3^{2} \cdot 11^{6} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.4	2Cs	$264$	$48$	$0$	$1$	$1$		$3$	$5120$	$0.426154$	$21952/9$	$1.09175$	$3.04941$	$[0, -1, 0, -282, 1080]$	$y^2=x^3-x^2-282x+1080$	2.6.0.a.1, 8.12.0.b.1, 12.12.0.a.1, 24.24.0.f.1, 44.12.0-2.a.1.1, $\ldots$	$[]$
11616.bd3	11616ba1	11616.bd	11616ba	$4$	$4$	$ 2^{5} \cdot 3 \cdot 11^{2} $	$ 2^{6} \cdot 3^{2} \cdot 11^{6} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.4	2Cs	$264$	$48$	$0$	$1$	$4$	$2$	$3$	$5120$	$0.426154$	$21952/9$	$1.09175$	$3.04941$	$[0, 1, 0, -282, -1080]$	$y^2=x^3+x^2-282x-1080$	2.6.0.a.1, 8.12.0.b.1, 12.12.0.a.1, 24.24.0.f.1, 44.12.0-2.a.1.1, $\ldots$	$[]$
14112.bq3	14112ca1	14112.bq	14112ca	$4$	$4$	$ 2^{5} \cdot 3^{2} \cdot 7^{2} $	$ 2^{6} \cdot 3^{8} \cdot 7^{6} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.4	2Cs	$168$	$48$	$0$	$1$	$1$		$3$	$9216$	$0.749467$	$21952/9$	$1.09175$	$3.39334$	$[0, 0, 0, -1029, 6860]$	$y^2=x^3-1029x+6860$	2.6.0.a.1, 8.12.0.b.1, 12.12.0.a.1, 24.24.0.f.1, 28.12.0-2.a.1.1, $\ldots$	$[]$
14112.by3	14112v1	14112.by	14112v	$4$	$4$	$ 2^{5} \cdot 3^{2} \cdot 7^{2} $	$ 2^{6} \cdot 3^{8} \cdot 7^{6} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.4	2Cs	$168$	$48$	$0$	$3.313183410$	$1$		$5$	$9216$	$0.749467$	$21952/9$	$1.09175$	$3.39334$	$[0, 0, 0, -1029, -6860]$	$y^2=x^3-1029x-6860$	2.6.0.a.1, 8.12.0.b.1, 12.12.0.a.1, 24.24.0.f.1, 28.12.0-2.a.1.1, $\ldots$	$[(560, 13230)]$
14400.f2	14400bt2	14400.f	14400bt	$4$	$4$	$ 2^{6} \cdot 3^{2} \cdot 5^{2} $	$ 2^{12} \cdot 3^{8} \cdot 5^{6} $	$2$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.4	2Cs	$120$	$48$	$0$	$1.786566211$	$1$		$33$	$16384$	$0.927805$	$21952/9$	$1.09175$	$3.60969$	$[0, 0, 0, -2100, 20000]$	$y^2=x^3-2100x+20000$	2.6.0.a.1, 8.12.0.b.1, 12.12.0.a.1, 20.12.0-2.a.1.2, 24.24.0.f.1, $\ldots$	$[(85, 675), (4, 108)]$
14400.fc2	14400bq2	14400.fc	14400bq	$4$	$4$	$ 2^{6} \cdot 3^{2} \cdot 5^{2} $	$ 2^{12} \cdot 3^{8} \cdot 5^{6} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.4	2Cs	$120$	$48$	$0$	$1$	$1$		$3$	$16384$	$0.927805$	$21952/9$	$1.09175$	$3.60969$	$[0, 0, 0, -2100, -20000]$	$y^2=x^3-2100x-20000$	2.6.0.a.1, 8.12.0.b.1, 12.12.0.a.1, 20.12.0-2.a.1.2, 24.24.0.f.1, $\ldots$	$[]$
16224.c3	16224e1	16224.c	16224e	$4$	$4$	$ 2^{5} \cdot 3 \cdot 13^{2} $	$ 2^{6} \cdot 3^{2} \cdot 13^{6} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.4	2Cs	$312$	$48$	$0$	$2.380221314$	$1$		$7$	$9216$	$0.509681$	$21952/9$	$1.09175$	$3.04770$	$[0, -1, 0, -394, -1496]$	$y^2=x^3-x^2-394x-1496$	2.6.0.a.1, 8.12.0.b.1, 12.12.0.a.1, 24.24.0.f.1, 52.12.0-2.a.1.1, $\ldots$	$[(-5, 18)]$
16224.p3	16224v1	16224.p	16224v	$4$	$4$	$ 2^{5} \cdot 3 \cdot 13^{2} $	$ 2^{6} \cdot 3^{2} \cdot 13^{6} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.4	2Cs	$312$	$48$	$0$	$4.332957830$	$1$		$5$	$9216$	$0.509681$	$21952/9$	$1.09175$	$3.04770$	$[0, 1, 0, -394, 1496]$	$y^2=x^3+x^2-394x+1496$	2.6.0.a.1, 8.12.0.b.1, 12.12.0.a.1, 24.24.0.f.1, 52.12.0-2.a.1.1, $\ldots$	$[(125, 1386)]$
23232.q2	23232u2	23232.q	23232u	$4$	$4$	$ 2^{6} \cdot 3 \cdot 11^{2} $	$ 2^{12} \cdot 3^{2} \cdot 11^{6} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.4	2Cs	$264$	$48$	$0$	$1$	$1$		$3$	$20480$	$0.772727$	$21952/9$	$1.09175$	$3.25284$	$[0, -1, 0, -1129, -7511]$	$y^2=x^3-x^2-1129x-7511$	2.6.0.a.1, 8.12.0.b.1, 12.12.0.a.1, 24.24.0.f.1, 44.12.0-2.a.1.1, $\ldots$	$[]$
23232.cg2	23232ch2	23232.cg	23232ch	$4$	$4$	$ 2^{6} \cdot 3 \cdot 11^{2} $	$ 2^{12} \cdot 3^{2} \cdot 11^{6} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.4	2Cs	$264$	$48$	$0$	$2.286450460$	$1$		$7$	$20480$	$0.772727$	$21952/9$	$1.09175$	$3.25284$	$[0, 1, 0, -1129, 7511]$	$y^2=x^3+x^2-1129x+7511$	2.6.0.a.1, 8.12.0.b.1, 12.12.0.a.1, 24.24.0.f.1, 44.12.0-2.a.1.1, $\ldots$	$[(-25, 144)]$
27744.d3	27744f1	27744.d	27744f	$4$	$4$	$ 2^{5} \cdot 3 \cdot 17^{2} $	$ 2^{6} \cdot 3^{2} \cdot 17^{6} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.4	2Cs	$408$	$48$	$0$	$3.359909400$	$1$		$7$	$18432$	$0.643813$	$21952/9$	$1.09175$	$3.04520$	$[0, -1, 0, -674, 3864]$	$y^2=x^3-x^2-674x+3864$	2.6.0.a.1, 8.12.0.b.1, 12.12.0.a.1, 24.24.0.f.1, 68.12.0-2.a.1.1, $\ldots$	$[(-26, 56)]$
27744.q3	27744bb1	27744.q	27744bb	$4$	$4$	$ 2^{5} \cdot 3 \cdot 17^{2} $	$ 2^{6} \cdot 3^{2} \cdot 17^{6} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.4	2Cs	$408$	$48$	$0$	$5.078269562$	$1$		$3$	$18432$	$0.643813$	$21952/9$	$1.09175$	$3.04520$	$[0, 1, 0, -674, -3864]$	$y^2=x^3+x^2-674x-3864$	2.6.0.a.1, 8.12.0.b.1, 12.12.0.a.1, 24.24.0.f.1, 68.12.0-2.a.1.1, $\ldots$	$[(-86/3, 1144/3)]$
28224.bc2	28224cl2	28224.bc	28224cl	$4$	$4$	$ 2^{6} \cdot 3^{2} \cdot 7^{2} $	$ 2^{12} \cdot 3^{8} \cdot 7^{6} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.4	2Cs	$168$	$48$	$0$	$1.519844145$	$1$		$11$	$36864$	$1.096041$	$21952/9$	$1.09175$	$3.56965$	$[0, 0, 0, -4116, -54880]$	$y^2=x^3-4116x-54880$	2.6.0.a.1, 8.12.0.b.1, 12.12.0.a.1, 24.24.0.f.1, 28.12.0-2.a.1.2, $\ldots$	$[(-38, 216)]$
28224.bx2	28224ci2	28224.bx	28224ci	$4$	$4$	$ 2^{6} \cdot 3^{2} \cdot 7^{2} $	$ 2^{12} \cdot 3^{8} \cdot 7^{6} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.4	2Cs	$168$	$48$	$0$	$1.509128396$	$1$		$11$	$36864$	$1.096041$	$21952/9$	$1.09175$	$3.56965$	$[0, 0, 0, -4116, 54880]$	$y^2=x^3-4116x+54880$	2.6.0.a.1, 8.12.0.b.1, 12.12.0.a.1, 24.24.0.f.1, 28.12.0-2.a.1.2, $\ldots$	$[(2, 216)]$
32448.bl2	32448e2	32448.bl	32448e	$4$	$4$	$ 2^{6} \cdot 3 \cdot 13^{2} $	$ 2^{12} \cdot 3^{2} \cdot 13^{6} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.4	2Cs	$312$	$48$	$0$	$3.582501616$	$1$		$7$	$36864$	$0.856255$	$21952/9$	$1.09175$	$3.24471$	$[0, -1, 0, -1577, 13545]$	$y^2=x^3-x^2-1577x+13545$	2.6.0.a.1, 8.12.0.b.1, 12.12.0.a.1, 24.24.0.f.1, 52.12.0-2.a.1.1, $\ldots$	$[(-40, 105)]$
32448.da2	32448bg2	32448.da	32448bg	$4$	$4$	$ 2^{6} \cdot 3 \cdot 13^{2} $	$ 2^{12} \cdot 3^{2} \cdot 13^{6} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.4	2Cs	$312$	$48$	$0$	$1$	$1$		$3$	$36864$	$0.856255$	$21952/9$	$1.09175$	$3.24471$	$[0, 1, 0, -1577, -13545]$	$y^2=x^3+x^2-1577x-13545$	2.6.0.a.1, 8.12.0.b.1, 12.12.0.a.1, 24.24.0.f.1, 52.12.0-2.a.1.1, $\ldots$	$[]$
34656.i3	34656x1	34656.i	34656x	$4$	$4$	$ 2^{5} \cdot 3 \cdot 19^{2} $	$ 2^{6} \cdot 3^{2} \cdot 19^{6} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.4	2Cs	$456$	$48$	$0$	$5.207598926$	$1$		$3$	$27648$	$0.699426$	$21952/9$	$1.09175$	$3.04424$	$[0, -1, 0, -842, -4800]$	$y^2=x^3-x^2-842x-4800$	2.6.0.a.1, 8.12.0.b.1, 12.12.0.a.1, 24.24.0.f.1, 76.12.0.?, $\ldots$	$[(-104/3, 1540/3)]$
34656.be3	34656r1	34656.be	34656r	$4$	$4$	$ 2^{5} \cdot 3 \cdot 19^{2} $	$ 2^{6} \cdot 3^{2} \cdot 19^{6} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.4	2Cs	$456$	$48$	$0$	$8.375618268$	$1$		$3$	$27648$	$0.699426$	$21952/9$	$1.09175$	$3.04424$	$[0, 1, 0, -842, 4800]$	$y^2=x^3+x^2-842x+4800$	2.6.0.a.1, 8.12.0.b.1, 12.12.0.a.1, 24.24.0.f.1, 76.12.0.?, $\ldots$	$[(598/19, 400680/19)]$
34848.i3	34848cg1	34848.i	34848cg	$4$	$4$	$ 2^{5} \cdot 3^{2} \cdot 11^{2} $	$ 2^{6} \cdot 3^{8} \cdot 11^{6} $	$2$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.4	2Cs	$264$	$48$	$0$	$5.115093875$	$1$		$17$	$40960$	$0.975460$	$21952/9$	$1.09175$	$3.35934$	$[0, 0, 0, -2541, -26620]$	$y^2=x^3-2541x-26620$	2.6.0.a.1, 8.12.0.b.1, 12.12.0.a.1, 24.24.0.f.1, 44.12.0-2.a.1.1, $\ldots$	$[(77, 484), (64, 270)]$
34848.t3	34848ba1	34848.t	34848ba	$4$	$4$	$ 2^{5} \cdot 3^{2} \cdot 11^{2} $	$ 2^{6} \cdot 3^{8} \cdot 11^{6} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.4	2Cs	$264$	$48$	$0$	$3.575337341$	$1$		$5$	$40960$	$0.975460$	$21952/9$	$1.09175$	$3.35934$	$[0, 0, 0, -2541, 26620]$	$y^2=x^3-2541x+26620$	2.6.0.a.1, 8.12.0.b.1, 12.12.0.a.1, 24.24.0.f.1, 44.12.0-2.a.1.1, $\ldots$	$[(92, 756)]$
48672.bj3	48672bs1	48672.bj	48672bs	$4$	$4$	$ 2^{5} \cdot 3^{2} \cdot 13^{2} $	$ 2^{6} \cdot 3^{8} \cdot 13^{6} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.4	2Cs	$312$	$48$	$0$	$3.537668277$	$1$		$5$	$73728$	$1.058987$	$21952/9$	$1.09175$	$3.34822$	$[0, 0, 0, -3549, 43940]$	$y^2=x^3-3549x+43940$	2.6.0.a.1, 8.12.0.b.1, 12.12.0.a.1, 24.24.0.f.1, 52.12.0-2.a.1.1, $\ldots$	$[(160, 1890)]$
48672.bu3	48672r1	48672.bu	48672r	$4$	$4$	$ 2^{5} \cdot 3^{2} \cdot 13^{2} $	$ 2^{6} \cdot 3^{8} \cdot 13^{6} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.4	2Cs	$312$	$48$	$0$	$1$	$4$	$2$	$3$	$73728$	$1.058987$	$21952/9$	$1.09175$	$3.34822$	$[0, 0, 0, -3549, -43940]$	$y^2=x^3-3549x-43940$	2.6.0.a.1, 8.12.0.b.1, 12.12.0.a.1, 24.24.0.f.1, 52.12.0-2.a.1.1, $\ldots$	$[]$
50784.b3	50784w1	50784.b	50784w	$4$	$4$	$ 2^{5} \cdot 3 \cdot 23^{2} $	$ 2^{6} \cdot 3^{2} \cdot 23^{6} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.4	2Cs	$552$	$48$	$0$	$3.324336780$	$1$		$5$	$50688$	$0.794953$	$21952/9$	$1.09175$	$3.04268$	$[0, -1, 0, -1234, 9424]$	$y^2=x^3-x^2-1234x+9424$	2.6.0.a.1, 8.12.0.b.1, 12.12.0.a.1, 24.24.0.f.1, 92.12.0.?, $\ldots$	$[(58, 360)]$
50784.p3	50784q1	50784.p	50784q	$4$	$4$	$ 2^{5} \cdot 3 \cdot 23^{2} $	$ 2^{6} \cdot 3^{2} \cdot 23^{6} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.4	2Cs	$552$	$48$	$0$	$9.001491476$	$1$		$3$	$50688$	$0.794953$	$21952/9$	$1.09175$	$3.04268$	$[0, 1, 0, -1234, -9424]$	$y^2=x^3+x^2-1234x-9424$	2.6.0.a.1, 8.12.0.b.1, 12.12.0.a.1, 24.24.0.f.1, 92.12.0.?, $\ldots$	$[(11801/11, 1195992/11)]$
55488.bs2	55488j2	55488.bs	55488j	$4$	$4$	$ 2^{6} \cdot 3 \cdot 17^{2} $	$ 2^{12} \cdot 3^{2} \cdot 17^{6} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.4	2Cs	$408$	$48$	$0$	$3.025568244$	$1$		$7$	$73728$	$0.990386$	$21952/9$	$1.09175$	$3.23269$	$[0, -1, 0, -2697, -28215]$	$y^2=x^3-x^2-2697x-28215$	2.6.0.a.1, 8.12.0.b.1, 12.12.0.a.1, 24.24.0.f.1, 68.12.0-2.a.1.1, $\ldots$	$[(-43, 80)]$
55488.ed2	55488bj2	55488.ed	55488bj	$4$	$4$	$ 2^{6} \cdot 3 \cdot 17^{2} $	$ 2^{12} \cdot 3^{2} \cdot 17^{6} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.4	2Cs	$408$	$48$	$0$	$1$	$4$	$2$	$3$	$73728$	$0.990386$	$21952/9$	$1.09175$	$3.23269$	$[0, 1, 0, -2697, 28215]$	$y^2=x^3+x^2-2697x+28215$	2.6.0.a.1, 8.12.0.b.1, 12.12.0.a.1, 24.24.0.f.1, 68.12.0-2.a.1.1, $\ldots$	$[]$
69312.s2	69312u2	69312.s	69312u	$4$	$4$	$ 2^{6} \cdot 3 \cdot 19^{2} $	$ 2^{12} \cdot 3^{2} \cdot 19^{6} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.4	2Cs	$456$	$48$	$0$	$1$	$1$		$3$	$110592$	$1.046000$	$21952/9$	$1.09175$	$3.22805$	$[0, -1, 0, -3369, 41769]$	$y^2=x^3-x^2-3369x+41769$	2.6.0.a.1, 8.12.0.b.1, 12.12.0.a.1, 24.24.0.f.1, 76.12.0.?, $\ldots$	$[]$
69312.ce2	69312bv2	69312.ce	69312bv	$4$	$4$	$ 2^{6} \cdot 3 \cdot 19^{2} $	$ 2^{12} \cdot 3^{2} \cdot 19^{6} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.4	2Cs	$456$	$48$	$0$	$2.569646633$	$1$		$7$	$110592$	$1.046000$	$21952/9$	$1.09175$	$3.22805$	$[0, 1, 0, -3369, -41769]$	$y^2=x^3+x^2-3369x-41769$	2.6.0.a.1, 8.12.0.b.1, 12.12.0.a.1, 24.24.0.f.1, 76.12.0.?, $\ldots$	$[(-45, 144)]$
69696.ff2	69696co2	69696.ff	69696co	$4$	$4$	$ 2^{6} \cdot 3^{2} \cdot 11^{2} $	$ 2^{12} \cdot 3^{8} \cdot 11^{6} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.4	2Cs	$264$	$48$	$0$	$2.806171303$	$1$		$7$	$163840$	$1.322033$	$21952/9$	$1.09175$	$3.52347$	$[0, 0, 0, -10164, -212960]$	$y^2=x^3-10164x-212960$	2.6.0.a.1, 8.12.0.b.1, 12.12.0.a.1, 24.24.0.f.1, 44.12.0-2.a.1.2, $\ldots$	$[(-40, 360)]$
69696.gf2	69696cl2	69696.gf	69696cl	$4$	$4$	$ 2^{6} \cdot 3^{2} \cdot 11^{2} $	$ 2^{12} \cdot 3^{8} \cdot 11^{6} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.4	2Cs	$264$	$48$	$0$	$3.677005755$	$1$		$5$	$163840$	$1.322033$	$21952/9$	$1.09175$	$3.52347$	$[0, 0, 0, -10164, 212960]$	$y^2=x^3-10164x+212960$	2.6.0.a.1, 8.12.0.b.1, 12.12.0.a.1, 24.24.0.f.1, 44.12.0-2.a.1.2, $\ldots$	$[(-10, 560)]$
80736.d3	80736j1	80736.d	80736j	$4$	$4$	$ 2^{5} \cdot 3 \cdot 29^{2} $	$ 2^{6} \cdot 3^{2} \cdot 29^{6} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.4	2Cs	$696$	$48$	$0$	$1$	$1$		$3$	$100352$	$0.910854$	$21952/9$	$1.09175$	$3.04093$	$[0, -1, 0, -1962, 18720]$	$y^2=x^3-x^2-1962x+18720$	2.6.0.a.1, 8.12.0.b.1, 12.12.0.a.1, 24.24.0.f.1, 116.12.0.?, $\ldots$	$[]$
80736.n3	80736c1	80736.n	80736c	$4$	$4$	$ 2^{5} \cdot 3 \cdot 29^{2} $	$ 2^{6} \cdot 3^{2} \cdot 29^{6} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.4	2Cs	$696$	$48$	$0$	$1$	$9$	$3$	$3$	$100352$	$0.910854$	$21952/9$	$1.09175$	$3.04093$	$[0, 1, 0, -1962, -18720]$	$y^2=x^3+x^2-1962x-18720$	2.6.0.a.1, 8.12.0.b.1, 12.12.0.a.1, 24.24.0.f.1, 116.12.0.?, $\ldots$	$[]$

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Elliptic curves over $\Q$
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This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.

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