LMFDB - Elliptic curve search results

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Conductor	j-invariant	Rank	Torsion	Complex multiplication

Bad$\ p$	Discriminant	Regulator	Analytic order of Ш	Galois image

Isogeny class size	Isogeny class degree	Cyclic isogeny degree	$p\ $div$\ $\|Ш\|	Nonmax$\ \ell$

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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	Semistable	Nonmax $\ell$	$\ell$-adic images	mod-$\ell$ images	Regulator	$Ш_{\textrm{an}}$	Integral points	Modular degree	Faltings height	j-invariant	Weierstrass coefficients	Weierstrass equation
15.a5	15a1	15.a	15a	$8$	$16$	$ 3 \cdot 5 $	$ 3^{4} \cdot 5^{4} $	$0$	$\Z/2\Z\oplus\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.96.0.3	2Cs	$1$	$1$	$6$	$1$	$-0.402277$	$111284641/50625$	$[1, 1, 1, -10, -10]$	$y^2+xy+y=x^3+x^2-10x-10$
15.a6	15a3	15.a	15a	$8$	$16$	$ 3 \cdot 5 $	$ 3^{2} \cdot 5^{2} $	$0$	$\Z/2\Z\oplus\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	16.96.0.7	2Cs	$1$	$1$	$6$	$2$	$-0.748851$	$13997521/225$	$[1, 1, 1, -5, 2]$	$y^2+xy+y=x^3+x^2-5x+2$
15.a8	15a4	15.a	15a	$8$	$16$	$ 3 \cdot 5 $	$ - 3^{2} \cdot 5^{8} $	$0$	$\Z/8\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.96.0.99	2B	$1$	$1$	$6$	$2$	$-0.055704$	$4733169839/3515625$	$[1, 1, 1, 35, -28]$	$y^2+xy+y=x^3+x^2+35x-28$
21.a3	21a3	21.a	21a	$6$	$8$	$ 3 \cdot 7 $	$ 3^{8} \cdot 7 $	$0$	$\Z/8\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.48.0.159	2B	$1$	$1$	$6$	$2$	$-0.272368$	$6570725617/45927$	$[1, 0, 0, -39, 90]$	$y^2+xy=x^3-39x+90$
21.a5	21a1	21.a	21a	$6$	$8$	$ 3 \cdot 7 $	$ 3^{4} \cdot 7^{2} $	$0$	$\Z/2\Z\oplus\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.48.0.24	2Cs	$1$	$1$	$6$	$1$	$-0.618942$	$7189057/3969$	$[1, 0, 0, -4, -1]$	$y^2+xy=x^3-4x-1$
24.a4	24a1	24.a	24a	$6$	$8$	$ 2^{3} \cdot 3 $	$ 2^{8} \cdot 3^{2} $	$0$	$\Z/2\Z\oplus\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.96.0.42	2Cs	$1$	$1$	$7$	$1$	$-0.645352$	$35152/9$	$[0, -1, 0, -4, 4]$	$y^2=x^3-x^2-4x+4$
42.a4	42a2	42.a	42a	$6$	$8$	$ 2 \cdot 3 \cdot 7 $	$ 2^{4} \cdot 3^{4} \cdot 7^{2} $	$0$	$\Z/2\Z\oplus\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.96.0.37	2Cs	$1$	$1$	$6$	$8$	$-0.157472$	$65597103937/63504$	$[1, 1, 1, -84, 261]$	$y^2+xy+y=x^3+x^2-84x+261$
42.a5	42a1	42.a	42a	$6$	$8$	$ 2 \cdot 3 \cdot 7 $	$ - 2^{8} \cdot 3^{2} \cdot 7 $	$0$	$\Z/8\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	16.96.0.98	2B	$1$	$1$	$7$	$4$	$-0.504046$	$-7189057/16128$	$[1, 1, 1, -4, 5]$	$y^2+xy+y=x^3+x^2-4x+5$
48.a3	48a3	48.a	48a	$6$	$8$	$ 2^{4} \cdot 3 $	$ 2^{10} \cdot 3^{4} $	$0$	$\Z/2\Z\oplus\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.96.0.34	2Cs	$1$	$1$	$7$	$4$	$-0.298779$	$1556068/81$	$[0, 1, 0, -24, 36]$	$y^2=x^3+x^2-24x+36$
48.a6	48a6	48.a	48a	$6$	$8$	$ 2^{4} \cdot 3 $	$ - 2^{11} \cdot 3^{8} $	$0$	$\Z/8\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.96.0.155	2B	$1$	$1$	$7$	$8$	$0.047795$	$207646/6561$	$[0, 1, 0, 16, 180]$	$y^2=x^3+x^2+16x+180$
102.c4	102b2	102.c	102b	$6$	$8$	$ 2 \cdot 3 \cdot 17 $	$ 2^{4} \cdot 3^{8} \cdot 17^{2} $	$0$	$\Z/2\Z\oplus\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.96.0.38	2Cs	$1$	$1$	$6$	$32$	$0.153931$	$163936758817/30338064$	$[1, 0, 0, -114, -396]$	$y^2+xy=x^3-114x-396$
102.c5	102b1	102.c	102b	$6$	$8$	$ 2 \cdot 3 \cdot 17 $	$ 2^{8} \cdot 3^{4} \cdot 17 $	$0$	$\Z/8\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	16.96.0.97	2B	$1$	$1$	$7$	$16$	$-0.192642$	$4354703137/352512$	$[1, 0, 0, -34, 68]$	$y^2+xy=x^3-34x+68$
120.b4	120a2	120.b	120a	$6$	$8$	$ 2^{3} \cdot 3 \cdot 5 $	$ 2^{8} \cdot 3^{4} \cdot 5^{2} $	$0$	$\Z/2\Z\oplus\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.48.0.26	2Cs	$1$	$1$	$7$	$16$	$-0.213148$	$3631696/2025$	$[0, 1, 0, -20, 0]$	$y^2=x^3+x^2-20x$
195.a4	195a3	195.a	195a	$8$	$16$	$ 3 \cdot 5 \cdot 13 $	$ 3^{4} \cdot 5^{4} \cdot 13^{4} $	$0$	$\Z/2\Z\oplus\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.48.0.3	2Cs	$1$	$1$	$6$	$96$	$0.496270$	$15551989015681/1445900625$	$[1, 0, 0, -520, -4225]$	$y^2+xy=x^3-520x-4225$
195.a5	195a2	195.a	195a	$8$	$16$	$ 3 \cdot 5 \cdot 13 $	$ 3^{8} \cdot 5^{2} \cdot 13^{2} $	$0$	$\Z/2\Z\oplus\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.48.0.28	2Cs	$1$	$1$	$6$	$48$	$0.149696$	$168288035761/27720225$	$[1, 0, 0, -115, 392]$	$y^2+xy=x^3-115x+392$
210.c5	210c2	210.c	210c	$6$	$8$	$ 2 \cdot 3 \cdot 5 \cdot 7 $	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7^{4} $	$0$	$\Z/2\Z\oplus\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.48.0.25	2Cs	$1$	$1$	$6$	$64$	$0.043610$	$37966934881/8643600$	$[1, 1, 1, -70, -205]$	$y^2+xy+y=x^3+x^2-70x-205$
210.e4	210e4	210.e	210e	$8$	$16$	$ 2 \cdot 3 \cdot 5 \cdot 7 $	$ 2^{4} \cdot 3^{16} \cdot 5^{2} \cdot 7 $	$0$	$\Z/8\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	16.96.0.95	2B	$1$	$1$	$6$	$512$	$1.101282$	$378499465220294881/120530818800$	$[1, 0, 0, -15070, 710612]$	$y^2+xy=x^3-15070x+710612$
210.e5	210e3	210.e	210e	$8$	$16$	$ 2 \cdot 3 \cdot 5 \cdot 7 $	$ 2^{4} \cdot 3^{4} \cdot 5^{8} \cdot 7^{4} $	$0$	$\Z/2\Z\oplus\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.96.0.2	2Cs	$1$	$1$	$6$	$512$	$1.101282$	$47595748626367201/1215506250000$	$[1, 0, 0, -7550, -247500]$	$y^2+xy=x^3-7550x-247500$
210.e7	210e1	210.e	210e	$8$	$16$	$ 2 \cdot 3 \cdot 5 \cdot 7 $	$ - 2^{16} \cdot 3^{4} \cdot 5^{2} \cdot 7 $	$0$	$\Z/8\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	16.96.0.95	2B	$1$	$1$	$7$	$128$	$0.408135$	$1023887723039/928972800$	$[1, 0, 0, 210, 900]$	$y^2+xy=x^3+210x+900$
231.a3	231a2	231.a	231a	$6$	$8$	$ 3 \cdot 7 \cdot 11 $	$ 3^{2} \cdot 7^{4} \cdot 11^{2} $	$0$	$\Z/2\Z\oplus\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.24.0.5	2Cs	$1$	$1$	$6$	$40$	$-0.070357$	$6570725617/2614689$	$[1, 1, 1, -39, 36]$	$y^2+xy+y=x^3+x^2-39x+36$
240.c2	240a3	240.c	240a	$6$	$8$	$ 2^{4} \cdot 3 \cdot 5 $	$ 2^{10} \cdot 3^{2} \cdot 5^{4} $	$0$	$\Z/2\Z\oplus\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.48.0.27	2Cs	$1$	$1$	$7$	$64$	$0.133425$	$868327204/5625$	$[0, -1, 0, -200, 1152]$	$y^2=x^3-x^2-200x+1152$
240.d2	240d5	240.d	240d	$8$	$16$	$ 2^{4} \cdot 3 \cdot 5 $	$ 2^{12} \cdot 3^{8} \cdot 5^{2} $	$0$	$\Z/2\Z\oplus\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.96.0.41	2Cs	$1$	$1$	$7$	$128$	$0.637444$	$272223782641/164025$	$[0, 1, 0, -2160, 37908]$	$y^2=x^3+x^2-2160x+37908$
240.d5	240d4	240.d	240d	$8$	$16$	$ 2^{4} \cdot 3 \cdot 5 $	$ 2^{12} \cdot 3^{4} \cdot 5^{4} $	$0$	$\Z/2\Z\oplus\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.96.0.1	2Cs	$1$	$1$	$7$	$64$	$0.290870$	$111284641/50625$	$[0, 1, 0, -160, 308]$	$y^2=x^3+x^2-160x+308$
330.d5	330c2	330.d	330c	$6$	$8$	$ 2 \cdot 3 \cdot 5 \cdot 11 $	$ 2^{8} \cdot 3^{6} \cdot 5^{2} \cdot 11^{4} $	$0$	$\Z/2\Z\oplus\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.24.0.5	2Cs	$1$	$1$	$6$	$384$	$0.768613$	$119102750067601/68309049600$	$[1, 1, 1, -1025, 767]$	$y^2+xy+y=x^3+x^2-1025x+767$
330.e4	330b2	330.e	330b	$6$	$8$	$ 2 \cdot 3 \cdot 5 \cdot 11 $	$ 2^{4} \cdot 3^{4} \cdot 5^{2} \cdot 11^{2} $	$0$	$\Z/2\Z\oplus\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.24.0.5	2Cs	$1$	$1$	$6$	$64$	$0.006941$	$46694890801/3920400$	$[1, 0, 0, -75, 225]$	$y^2+xy=x^3-75x+225$
336.a2	336e4	336.a	336e	$6$	$8$	$ 2^{4} \cdot 3 \cdot 7 $	$ 2^{12} \cdot 3^{2} \cdot 7^{4} $	$1$	$\Z/2\Z\oplus\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.48.0.25	2Cs	$1.492598417$	$1$	$19$	$128$	$0.420779$	$13027640977/21609$	$[0, -1, 0, -784, 8704]$	$y^2=x^3-x^2-784x+8704$
336.d2	336d5	336.d	336d	$6$	$8$	$ 2^{4} \cdot 3 \cdot 7 $	$ 2^{13} \cdot 3^{4} \cdot 7^{8} $	$0$	$\Z/8\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.96.0.157	2B	$1$	$1$	$7$	$768$	$1.228823$	$84448510979617/933897762$	$[0, 1, 0, -14624, 669300]$	$y^2=x^3+x^2-14624x+669300$
336.d3	336d4	336.d	336d	$6$	$8$	$ 2^{4} \cdot 3 \cdot 7 $	$ 2^{14} \cdot 3^{8} \cdot 7^{4} $	$0$	$\Z/2\Z\oplus\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.96.0.33	2Cs	$1$	$1$	$7$	$384$	$0.882248$	$124475734657/63011844$	$[0, 1, 0, -1664, -9804]$	$y^2=x^3+x^2-1664x-9804$
390.f5	390b2	390.f	390b	$6$	$8$	$ 2 \cdot 3 \cdot 5 \cdot 13 $	$ 2^{4} \cdot 3^{2} \cdot 5^{4} \cdot 13^{2} $	$0$	$\Z/2\Z\oplus\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.24.0.5	2Cs	$1$	$1$	$6$	$128$	$0.070926$	$30400540561/15210000$	$[1, 1, 1, -65, 47]$	$y^2+xy+y=x^3+x^2-65x+47$
429.b4	429b2	429.b	429b	$6$	$8$	$ 3 \cdot 11 \cdot 13 $	$ 3^{4} \cdot 11^{2} \cdot 13^{2} $	$1$	$\Z/2\Z\oplus\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.24.0.5	2Cs	$2.115453196$	$1$	$12$	$128$	$0.194522$	$8732907467857/1656369$	$[1, 0, 0, -429, 3384]$	$y^2+xy=x^3-429x+3384$
510.e4	510e3	510.e	510e	$8$	$16$	$ 2 \cdot 3 \cdot 5 \cdot 17 $	$ 2^{4} \cdot 3^{4} \cdot 5^{4} \cdot 17^{4} $	$0$	$\Z/2\Z\oplus\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.96.0.7	2Cs	$1$	$1$	$6$	$512$	$0.793592$	$330240275458561/67652010000$	$[1, 1, 1, -1440, 16305]$	$y^2+xy+y=x^3+x^2-1440x+16305$
510.e5	510e2	510.e	510e	$8$	$16$	$ 2 \cdot 3 \cdot 5 \cdot 17 $	$ 2^{8} \cdot 3^{2} \cdot 5^{2} \cdot 17^{2} $	$0$	$\Z/2\Z\oplus\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	16.96.0.8	2Cs	$1$	$1$	$6$	$256$	$0.447019$	$278202094583041/16646400$	$[1, 1, 1, -1360, 18737]$	$y^2+xy+y=x^3+x^2-1360x+18737$
609.a4	609b2	609.a	609b	$6$	$8$	$ 3 \cdot 7 \cdot 29 $	$ 3^{6} \cdot 7^{4} \cdot 29^{2} $	$1$	$\Z/2\Z\oplus\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.24.0.5	2Cs	$3.513460239$	$1$	$10$	$768$	$0.944088$	$231331938231569617/1472026689$	$[1, 1, 1, -12789, 551346]$	$y^2+xy+y=x^3+x^2-12789x+551346$
663.a3	663b2	663.a	663b	$6$	$8$	$ 3 \cdot 13 \cdot 17 $	$ 3^{4} \cdot 13^{4} \cdot 17^{2} $	$1$	$\Z/2\Z\oplus\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.48.0.27	2Cs	$2.975812071$	$1$	$10$	$256$	$0.462009$	$17806161424897/668584449$	$[1, 1, 1, -544, 4496]$	$y^2+xy+y=x^3+x^2-544x+4496$
690.k4	690k2	690.k	690k	$6$	$8$	$ 2 \cdot 3 \cdot 5 \cdot 23 $	$ 2^{4} \cdot 3^{4} \cdot 5^{4} \cdot 23^{2} $	$0$	$\Z/2\Z\oplus\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.48.0.24	2Cs	$1$	$1$	$6$	$768$	$0.806443$	$36330796409313601/428490000$	$[1, 0, 0, -6900, 220032]$	$y^2+xy=x^3-6900x+220032$
690.k5	690k1	690.k	690k	$6$	$8$	$ 2 \cdot 3 \cdot 5 \cdot 23 $	$ - 2^{8} \cdot 3^{8} \cdot 5^{2} \cdot 23 $	$0$	$\Z/8\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.48.0.159	2B	$1$	$1$	$7$	$384$	$0.459870$	$-8194759433281/965779200$	$[1, 0, 0, -420, 3600]$	$y^2+xy=x^3-420x+3600$
714.f4	714g2	714.f	714g	$6$	$8$	$ 2 \cdot 3 \cdot 7 \cdot 17 $	$ 2^{12} \cdot 3^{8} \cdot 7^{8} \cdot 17^{2} $	$0$	$\Z/2\Z\oplus\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.96.0.37	2Cs	$1$	$1$	$6$	$7680$	$1.885983$	$82582985847542515777/44772582831427584$	$[1, 1, 1, -90724, 2605541]$	$y^2+xy+y=x^3+x^2-90724x+2605541$
714.f5	714g1	714.f	714g	$6$	$8$	$ 2 \cdot 3 \cdot 7 \cdot 17 $	$ 2^{24} \cdot 3^{4} \cdot 7^{4} \cdot 17 $	$0$	$\Z/8\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	16.96.0.98	2B	$1$	$1$	$7$	$3840$	$1.539408$	$38331145780597164097/55468445663232$	$[1, 1, 1, -70244, 7127525]$	$y^2+xy+y=x^3+x^2-70244x+7127525$
759.b5	759b2	759.b	759b	$6$	$8$	$ 3 \cdot 11 \cdot 23 $	$ 3^{4} \cdot 11^{4} \cdot 23^{2} $	$1$	$\Z/2\Z\oplus\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.24.0.5	2Cs	$2.983073350$	$1$	$10$	$256$	$0.421960$	$5786435182177/627352209$	$[1, 0, 0, -374, -2541]$	$y^2+xy=x^3-374x-2541$
816.b2	816h3	816.b	816h	$6$	$8$	$ 2^{4} \cdot 3 \cdot 17 $	$ 2^{14} \cdot 3^{4} \cdot 17^{4} $	$1$	$\Z/2\Z\oplus\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.96.0.35	2Cs	$3.826981769$	$1$	$11$	$1536$	$1.193651$	$576615941610337/27060804$	$[0, -1, 0, -27744, 1787904]$	$y^2=x^3-x^2-27744x+1787904$
840.d3	840f2	840.d	840f	$6$	$8$	$ 2^{3} \cdot 3 \cdot 5 \cdot 7 $	$ 2^{8} \cdot 3^{2} \cdot 5^{4} \cdot 7^{2} $	$1$	$\Z/2\Z\oplus\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	4.24.0.5	2Cs	$1.098298981$	$1$	$21$	$256$	$0.239768$	$2533446736/275625$	$[0, -1, 0, -180, 900]$	$y^2=x^3-x^2-180x+900$
840.f3	840g2	840.f	840g	$6$	$8$	$ 2^{3} \cdot 3 \cdot 5 \cdot 7 $	$ 2^{8} \cdot 3^{4} \cdot 5^{2} \cdot 7^{4} $	$0$	$\Z/2\Z\oplus\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.48.0.25	2Cs	$1$	$1$	$7$	$512$	$0.524602$	$175293437776/4862025$	$[0, -1, 0, -740, 7812]$	$y^2=x^3-x^2-740x+7812$
840.j4	840j2	840.j	840j	$6$	$8$	$ 2^{3} \cdot 3 \cdot 5 \cdot 7 $	$ 2^{8} \cdot 3^{4} \cdot 5^{2} \cdot 7^{2} $	$0$	$\Z/2\Z\oplus\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	4.24.0.5	2Cs	$1$	$1$	$7$	$256$	$0.288763$	$32082281296/99225$	$[0, 1, 0, -420, 3168]$	$y^2=x^3+x^2-420x+3168$
930.o4	930o4	930.o	930o	$6$	$8$	$ 2 \cdot 3 \cdot 5 \cdot 31 $	$ 2^{4} \cdot 3^{8} \cdot 5^{8} \cdot 31 $	$0$	$\Z/8\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.48.0.159	2B	$1$	$1$	$6$	$2048$	$1.035252$	$5601911201812801/1271193750000$	$[1, 0, 0, -3700, 67232]$	$y^2+xy=x^3-3700x+67232$
930.o5	930o2	930.o	930o	$6$	$8$	$ 2 \cdot 3 \cdot 5 \cdot 31 $	$ 2^{8} \cdot 3^{4} \cdot 5^{4} \cdot 31^{2} $	$0$	$\Z/2\Z\oplus\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.48.0.24	2Cs	$1$	$1$	$6$	$1024$	$0.688679$	$200828550012481/12454560000$	$[1, 0, 0, -1220, -15600]$	$y^2+xy=x^3-1220x-15600$
966.g2	966g4	966.g	966g	$6$	$8$	$ 2 \cdot 3 \cdot 7 \cdot 23 $	$ 2^{4} \cdot 3^{2} \cdot 7^{8} \cdot 23 $	$1$	$\Z/8\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.48.0.159	2B	$2.429046614$	$1$	$12$	$2048$	$1.069401$	$614716917569296417/19093020912$	$[1, 1, 1, -17714, 900047]$	$y^2+xy+y=x^3+x^2-17714x+900047$
966.g4	966g2	966.g	966g	$6$	$8$	$ 2 \cdot 3 \cdot 7 \cdot 23 $	$ 2^{8} \cdot 3^{4} \cdot 7^{4} \cdot 23^{2} $	$1$	$\Z/2\Z\oplus\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.48.0.24	2Cs	$1.214523307$	$1$	$18$	$1024$	$0.722827$	$169967019783457/26337394944$	$[1, 1, 1, -1154, 12431]$	$y^2+xy+y=x^3+x^2-1154x+12431$
1110.k4	1110k2	1110.k	1110k	$6$	$8$	$ 2 \cdot 3 \cdot 5 \cdot 37 $	$ 2^{12} \cdot 3^{6} \cdot 5^{4} \cdot 37^{2} $	$0$	$\Z/2\Z\oplus\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.24.0.5	2Cs	$1$	$1$	$6$	$3456$	$1.260246$	$1072487167529950801/2554882560000$	$[1, 1, 1, -21325, 1187267]$	$y^2+xy+y=x^3+x^2-21325x+1187267$
1122.e4	1122e2	1122.e	1122e	$6$	$8$	$ 2 \cdot 3 \cdot 11 \cdot 17 $	$ 2^{8} \cdot 3^{2} \cdot 11^{2} \cdot 17^{4} $	$1$	$\Z/2\Z\oplus\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.48.0.27	2Cs	$1.893763184$	$1$	$16$	$1024$	$0.744782$	$423108074414017/23284318464$	$[1, 1, 1, -1564, -23299]$	$y^2+xy+y=x^3+x^2-1564x-23299$
1155.e3	1155e2	1155.e	1155e	$6$	$8$	$ 3 \cdot 5 \cdot 7 \cdot 11 $	$ 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 11^{4} $	$1$	$\Z/2\Z\oplus\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.24.0.5	2Cs	$1.700180605$	$1$	$14$	$512$	$0.320720$	$2177286259681/161417025$	$[1, 1, 1, -270, 1482]$	$y^2+xy+y=x^3+x^2-270x+1482$

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Elliptic curves over $\Q$
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