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	Semistable	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
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	$240$	$768$	$13$	$1$	$1$	$6$	$1$	$-0.402277$	$111284641/50625$	$1.02534$	$6.84168$	$[1, 1, 1, -10, -10]$	$y^2+xy+y=x^3+x^2-10x-10$	2.6.0.a.1, 4.48.0-4.b.1.1, 8.96.0-8.b.2.9, 24.192.1-24.n.1.1, 40.192.1-40.s.1.5, $\ldots$	$[]$
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	$240$	$768$	$13$	$1$	$1$	$6$	$2$	$-0.748851$	$13997521/225$	$0.96230$	$6.07610$	$[1, 1, 1, -5, 2]$	$y^2+xy+y=x^3+x^2-5x+2$	2.6.0.a.1, 4.24.0-4.b.1.3, 8.48.0-8.i.1.10, 16.96.0-16.d.2.3, 24.96.0-24.bb.2.5, $\ldots$	$[]$
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	$480$	$768$	$13$	$1$	$1$	$6$	$2$	$-0.055704$	$4733169839/3515625$	$1.05585$	$8.22653$	$[1, 1, 1, 35, -28]$	$y^2+xy+y=x^3+x^2+35x-28$	2.3.0.a.1, 4.24.0-4.d.1.1, 8.96.0-8.n.2.5, 24.192.1-24.cv.2.2, 80.192.1.?, $\ldots$	$[]$
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	$336$	$192$	$1$	$1$	$1$	$6$	$2$	$-0.272368$	$6570725617/45927$	$1.00160$	$7.42510$	$[1, 0, 0, -39, 90]$	$y^2+xy=x^3-39x+90$	2.3.0.a.1, 4.12.0-4.c.1.1, 8.48.0-8.bb.1.1, 28.24.0-28.h.1.2, 48.96.0-48.bf.1.3, $\ldots$	$[]$
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	$168$	$192$	$1$	$1$	$1$	$6$	$1$	$-0.618942$	$7189057/3969$	$1.14862$	$5.18573$	$[1, 0, 0, -4, -1]$	$y^2+xy=x^3-4x-1$	2.6.0.a.1, 4.24.0-4.b.1.3, 8.48.0-8.e.2.2, 24.96.0-24.w.2.6, 28.48.0-28.c.1.1, $\ldots$	$[]$
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	$24$	$192$	$1$	$1$	$1$	$7$	$1$	$-0.645352$	$35152/9$	$0.97255$	$5.03850$	$[0, -1, 0, -4, 4]$	$y^2=x^3-x^2-4x+4$	2.6.0.a.1, 4.24.0-4.b.1.3, 8.96.0-8.h.1.6, 12.48.0-12.c.1.1, 24.192.1-24.bu.1.7	$[]$
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	$56$	$192$	$1$	$1$	$1$	$6$	$8$	$-0.157472$	$65597103937/63504$	$1.01692$	$6.66372$	$[1, 1, 1, -84, 261]$	$y^2+xy+y=x^3+x^2-84x+261$	2.6.0.a.1, 4.24.0-4.b.1.3, 8.96.0-8.i.1.2, 28.48.0-28.c.1.1, 56.192.1-56.by.1.7	$[]$
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	$112$	$192$	$1$	$1$	$1$	$7$	$4$	$-0.504046$	$-7189057/16128$	$0.98224$	$4.64796$	$[1, 1, 1, -4, 5]$	$y^2+xy+y=x^3+x^2-4x+5$	2.3.0.a.1, 4.12.0-4.c.1.1, 8.48.0-8.bb.1.1, 14.6.0.b.1, 16.96.0-16.z.1.2, $\ldots$	$[]$
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	$24$	$192$	$1$	$1$	$1$	$7$	$4$	$-0.298779$	$1556068/81$	$1.03212$	$5.47353$	$[0, 1, 0, -24, 36]$	$y^2=x^3+x^2-24x+36$	2.6.0.a.1, 4.24.0-4.b.1.3, 8.96.0-8.e.2.1, 24.192.1-24.bl.2.2	$[]$
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	$48$	$192$	$1$	$1$	$1$	$7$	$8$	$0.047795$	$207646/6561$	$1.15980$	$6.16081$	$[0, 1, 0, 16, 180]$	$y^2=x^3+x^2+16x+180$	2.3.0.a.1, 4.12.0-4.c.1.1, 8.96.0-8.m.1.4, 48.192.1-48.w.2.2	$[]$
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	$136$	$192$	$1$	$1$	$1$	$6$	$32$	$0.153931$	$163936758817/30338064$	$1.07571$	$5.58333$	$[1, 0, 0, -114, -396]$	$y^2+xy=x^3-114x-396$	2.6.0.a.1, 4.24.0-4.b.1.3, 8.96.0-8.h.2.2, 68.48.0-68.c.1.1, 136.192.1.?	$[]$
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	$272$	$192$	$1$	$1$	$1$	$7$	$16$	$-0.192642$	$4354703137/352512$	$1.05192$	$4.79884$	$[1, 0, 0, -34, 68]$	$y^2+xy=x^3-34x+68$	2.3.0.a.1, 4.12.0-4.c.1.1, 8.48.0-8.bb.1.1, 16.96.0-16.bb.1.1, 34.6.0.a.1, $\ldots$	$[]$
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	$120$	$192$	$1$	$1$	$1$	$7$	$16$	$-0.213148$	$3631696/2025$	$1.02576$	$4.31340$	$[0, 1, 0, -20, 0]$	$y^2=x^3+x^2-20x$	2.6.0.a.1, 4.24.0-4.b.1.3, 8.48.0-8.d.2.1, 20.48.0-20.c.1.1, 24.96.0-24.p.2.3, $\ldots$	$[]$
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	$3120$	$768$	$13$	$1$	$1$	$6$	$96$	$0.496270$	$15551989015681/1445900625$	$0.97384$	$5.76052$	$[1, 0, 0, -520, -4225]$	$y^2+xy=x^3-520x-4225$	2.6.0.a.1, 4.48.0-4.b.1.1, 24.96.0-24.b.1.1, 40.96.0-40.b.2.9, 104.96.0.?, $\ldots$	$[]$
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	$3120$	$768$	$13$	$1$	$1$	$6$	$48$	$0.149696$	$168288035761/27720225$	$1.01793$	$4.90213$	$[1, 0, 0, -115, 392]$	$y^2+xy=x^3-115x+392$	2.6.0.a.1, 4.24.0-4.b.1.3, 8.48.0-8.i.1.10, 40.96.0-40.bc.2.5, 48.96.0-48.d.1.6, $\ldots$	$[]$
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	$840$	$192$	$1$	$1$	$1$	$6$	$64$	$0.043610$	$37966934881/8643600$	$0.95916$	$4.55573$	$[1, 1, 1, -70, -205]$	$y^2+xy+y=x^3+x^2-70x-205$	2.6.0.a.1, 4.24.0-4.b.1.3, 8.48.0-8.e.1.9, 56.96.0-56.r.1.6, 60.48.0-60.c.1.7, $\ldots$	$[]$
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	$3360$	$768$	$13$	$1$	$1$	$6$	$512$	$1.101282$	$378499465220294881/120530818800$	$1.03580$	$7.56951$	$[1, 0, 0, -15070, 710612]$	$y^2+xy=x^3-15070x+710612$	2.3.0.a.1, 4.12.0-4.c.1.1, 8.48.0-8.bb.1.1, 16.96.0-16.v.1.2, 28.24.0-28.h.1.2, $\ldots$	$[]$
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	$1680$	$768$	$13$	$1$	$1$	$6$	$512$	$1.101282$	$47595748626367201/1215506250000$	$1.02882$	$7.18174$	$[1, 0, 0, -7550, -247500]$	$y^2+xy=x^3-7550x-247500$	2.6.0.a.1, 4.48.0-4.b.1.1, 8.96.0-8.c.1.1, 24.192.1-24.w.2.5, 56.192.1-56.x.1.1, $\ldots$	$[]$
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	$3360$	$768$	$13$	$1$	$1$	$7$	$128$	$0.408135$	$1023887723039/928972800$	$0.99981$	$5.17189$	$[1, 0, 0, 210, 900]$	$y^2+xy=x^3+210x+900$	2.3.0.a.1, 4.12.0-4.c.1.1, 8.48.0-8.bb.1.1, 14.6.0.b.1, 16.96.0-16.v.1.2, $\ldots$	$[]$
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	$1848$	$192$	$1$	$1$	$1$	$6$	$40$	$-0.070357$	$6570725617/2614689$	$0.92677$	$4.15365$	$[1, 1, 1, -39, 36]$	$y^2+xy+y=x^3+x^2-39x+36$	2.6.0.a.1, 4.24.0-4.b.1.3, 24.48.0-24.i.2.9, 56.48.0-56.m.1.10, 88.48.0.?, $\ldots$	$[]$
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	$120$	$192$	$1$	$1$	$1$	$7$	$64$	$0.133425$	$868327204/5625$	$1.10029$	$5.02014$	$[0, -1, 0, -200, 1152]$	$y^2=x^3-x^2-200x+1152$	2.6.0.a.1, 4.24.0-4.b.1.3, 8.48.0-8.d.1.10, 24.96.0-24.k.1.2, 40.96.0-40.v.1.7, $\ldots$	$[]$
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	$240$	$768$	$13$	$1$	$1$	$7$	$128$	$0.637444$	$272223782641/164025$	$1.03897$	$6.32183$	$[0, 1, 0, -2160, 37908]$	$y^2=x^3+x^2-2160x+37908$	2.6.0.a.1, 4.24.0-4.b.1.3, 8.96.0-8.k.1.2, 20.48.0-20.c.1.1, 40.192.1-40.cc.2.1, $\ldots$	$[]$
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	$240$	$768$	$13$	$1$	$1$	$7$	$64$	$0.290870$	$111284641/50625$	$1.02534$	$4.89822$	$[0, 1, 0, -160, 308]$	$y^2=x^3+x^2-160x+308$	2.6.0.a.1, 4.48.0-4.b.1.1, 8.96.0-8.b.2.2, 24.192.1-24.n.1.6, 40.192.1-40.s.1.2, $\ldots$	$[]$
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	$1320$	$192$	$1$	$1$	$1$	$6$	$384$	$0.768613$	$119102750067601/68309049600$	$1.06441$	$5.58898$	$[1, 1, 1, -1025, 767]$	$y^2+xy+y=x^3+x^2-1025x+767$	2.6.0.a.1, 4.24.0-4.b.1.3, 24.48.0-24.h.2.1, 40.48.0-40.i.1.9, 60.48.0-60.c.1.7, $\ldots$	$[]$
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	$1320$	$192$	$1$	$1$	$1$	$6$	$64$	$0.006941$	$46694890801/3920400$	$0.93791$	$4.23634$	$[1, 0, 0, -75, 225]$	$y^2+xy=x^3-75x+225$	2.6.0.a.1, 4.24.0-4.b.1.3, 24.48.0-24.l.1.10, 40.48.0-40.i.2.1, 88.48.0.?, $\ldots$	$[]$
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	$168$	$192$	$1$	$1.492598417$	$1$	$19$	$128$	$0.420779$	$13027640977/21609$	$1.08149$	$5.43364$	$[0, -1, 0, -784, 8704]$	$y^2=x^3-x^2-784x+8704$	2.6.0.a.1, 4.24.0-4.b.1.3, 8.48.0-8.e.1.9, 12.48.0-12.c.1.1, 24.96.0-24.j.2.3, $\ldots$	$[(18, 10)]$
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	$112$	$192$	$1$	$1$	$1$	$7$	$768$	$1.228823$	$84448510979617/933897762$	$1.05309$	$6.94244$	$[0, 1, 0, -14624, 669300]$	$y^2=x^3+x^2-14624x+669300$	2.3.0.a.1, 4.12.0-4.c.1.1, 8.96.0-8.p.1.2, 112.192.1.?	$[]$
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	$56$	$192$	$1$	$1$	$1$	$7$	$384$	$0.882248$	$124475734657/63011844$	$1.06499$	$5.82164$	$[0, 1, 0, -1664, -9804]$	$y^2=x^3+x^2-1664x-9804$	2.6.0.a.1, 4.24.0-4.b.1.3, 8.96.0-8.f.1.5, 56.192.1-56.bp.2.3	$[]$
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	$1560$	$192$	$1$	$1$	$1$	$6$	$128$	$0.070926$	$30400540561/15210000$	$0.96238$	$4.04578$	$[1, 1, 1, -65, 47]$	$y^2+xy+y=x^3+x^2-65x+47$	2.6.0.a.1, 4.24.0-4.b.1.3, 24.48.0-24.h.1.5, 40.48.0-40.l.1.10, 104.48.0.?, $\ldots$	$[]$
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	$3432$	$192$	$1$	$2.115453196$	$1$	$12$	$128$	$0.194522$	$8732907467857/1656369$	$0.94339$	$4.91600$	$[1, 0, 0, -429, 3384]$	$y^2+xy=x^3-429x+3384$	2.6.0.a.1, 4.24.0-4.b.1.3, 24.48.0-24.m.1.6, 88.48.0.?, 104.48.0.?, $\ldots$	$[(24, 72)]$
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	$4080$	$768$	$13$	$1$	$1$	$6$	$512$	$0.793592$	$330240275458561/67652010000$	$1.06774$	$5.36231$	$[1, 1, 1, -1440, 16305]$	$y^2+xy+y=x^3+x^2-1440x+16305$	2.6.0.a.1, 4.48.0-4.b.1.1, 8.96.0-8.b.1.11, 120.192.1.?, 136.192.1.?, $\ldots$	$[]$
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	$4080$	$768$	$13$	$1$	$1$	$6$	$256$	$0.447019$	$278202094583041/16646400$	$0.97964$	$5.33481$	$[1, 1, 1, -1360, 18737]$	$y^2+xy+y=x^3+x^2-1360x+18737$	2.6.0.a.1, 4.24.0-4.b.1.3, 8.48.0-8.i.1.10, 16.96.0-16.d.1.10, 120.96.0.?, $\ldots$	$[]$
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	$4872$	$192$	$1$	$3.513460239$	$1$	$10$	$768$	$0.944088$	$231331938231569617/1472026689$	$0.98909$	$6.23577$	$[1, 1, 1, -12789, 551346]$	$y^2+xy+y=x^3+x^2-12789x+551346$	2.6.0.a.1, 4.24.0-4.b.1.3, 24.48.0-24.i.2.9, 56.48.0-56.m.1.10, 168.96.0.?, $\ldots$	$[(-104, 929)]$
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	$1768$	$192$	$1$	$2.975812071$	$1$	$10$	$256$	$0.462009$	$17806161424897/668584449$	$0.93643$	$4.69626$	$[1, 1, 1, -544, 4496]$	$y^2+xy+y=x^3+x^2-544x+4496$	2.6.0.a.1, 4.24.0-4.b.1.3, 8.48.0-8.d.1.10, 68.48.0-68.c.1.1, 104.96.0.?, $\ldots$	$[(79, 640)]$
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	$552$	$192$	$1$	$1$	$1$	$6$	$768$	$0.806443$	$36330796409313601/428490000$	$0.99526$	$5.83345$	$[1, 0, 0, -6900, 220032]$	$y^2+xy=x^3-6900x+220032$	2.6.0.a.1, 4.24.0-4.b.1.3, 8.48.0-8.e.2.2, 24.96.0-24.r.2.5, 92.48.0.?, $\ldots$	$[]$
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	$1104$	$192$	$1$	$1$	$1$	$7$	$384$	$0.459870$	$-8194759433281/965779200$	$0.95262$	$4.57722$	$[1, 0, 0, -420, 3600]$	$y^2+xy=x^3-420x+3600$	2.3.0.a.1, 4.12.0-4.c.1.1, 8.48.0-8.bb.1.1, 46.6.0.a.1, 48.96.0-48.bp.1.7, $\ldots$	$[]$
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	$136$	$192$	$1$	$1$	$1$	$6$	$7680$	$1.885983$	$82582985847542515777/44772582831427584$	$1.09721$	$6.97933$	$[1, 1, 1, -90724, 2605541]$	$y^2+xy+y=x^3+x^2-90724x+2605541$	2.6.0.a.1, 4.24.0-4.b.1.3, 8.96.0-8.i.1.2, 68.48.0-68.c.1.1, 136.192.1.?	$[]$
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	$272$	$192$	$1$	$1$	$1$	$7$	$3840$	$1.539408$	$38331145780597164097/55468445663232$	$1.02142$	$6.86252$	$[1, 1, 1, -70244, 7127525]$	$y^2+xy+y=x^3+x^2-70244x+7127525$	2.3.0.a.1, 4.12.0-4.c.1.1, 8.48.0-8.bb.1.1, 16.96.0-16.z.1.2, 34.6.0.a.1, $\ldots$	$[]$
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	$6072$	$192$	$1$	$2.983073350$	$1$	$10$	$256$	$0.421960$	$5786435182177/627352209$	$0.98731$	$4.43102$	$[1, 0, 0, -374, -2541]$	$y^2+xy=x^3-374x-2541$	2.6.0.a.1, 4.24.0-4.b.1.3, 24.48.0-24.h.2.1, 88.48.0.?, 92.48.0.?, $\ldots$	$[(34, 139)]$
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	$136$	$192$	$1$	$3.826981769$	$1$	$11$	$1536$	$1.193651$	$576615941610337/27060804$	$1.03156$	$6.31017$	$[0, -1, 0, -27744, 1787904]$	$y^2=x^3-x^2-27744x+1787904$	2.6.0.a.1, 4.24.0-4.b.1.3, 8.96.0-8.e.1.5, 136.192.1.?	$[(146, 910)]$
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	$840$	$192$	$1$	$1.098298981$	$1$	$21$	$256$	$0.239768$	$2533446736/275625$	$0.90007$	$4.03927$	$[0, -1, 0, -180, 900]$	$y^2=x^3-x^2-180x+900$	2.6.0.a.1, 4.24.0-4.b.1.3, 24.48.0-24.i.1.1, 40.48.0-40.l.1.10, 56.48.0-56.h.1.9, $\ldots$	$[(5, 10)]$
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	$280$	$192$	$1$	$1$	$1$	$7$	$512$	$0.524602$	$175293437776/4862025$	$0.94022$	$4.66850$	$[0, -1, 0, -740, 7812]$	$y^2=x^3-x^2-740x+7812$	2.6.0.a.1, 4.24.0-4.b.1.3, 8.48.0-8.e.1.9, 20.48.0-20.c.1.1, 40.96.0-40.k.2.13, $\ldots$	$[]$
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	$840$	$192$	$1$	$1$	$1$	$7$	$256$	$0.288763$	$32082281296/99225$	$0.92349$	$4.41630$	$[0, 1, 0, -420, 3168]$	$y^2=x^3+x^2-420x+3168$	2.6.0.a.1, 4.24.0-4.b.1.3, 24.48.0-24.l.1.10, 40.48.0-40.h.2.9, 56.48.0-56.h.2.1, $\ldots$	$[]$
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	$7440$	$192$	$1$	$1$	$1$	$6$	$2048$	$1.035252$	$5601911201812801/1271193750000$	$0.98526$	$5.30518$	$[1, 0, 0, -3700, 67232]$	$y^2+xy=x^3-3700x+67232$	2.3.0.a.1, 4.12.0-4.c.1.1, 8.48.0-8.bb.1.1, 124.24.0.?, 240.96.0.?, $\ldots$	$[]$
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	$3720$	$192$	$1$	$1$	$1$	$6$	$1024$	$0.688679$	$200828550012481/12454560000$	$0.96232$	$4.81823$	$[1, 0, 0, -1220, -15600]$	$y^2+xy=x^3-1220x-15600$	2.6.0.a.1, 4.24.0-4.b.1.3, 8.48.0-8.e.2.2, 120.96.0.?, 124.48.0.?, $\ldots$	$[]$
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	$2576$	$192$	$1$	$2.429046614$	$1$	$12$	$2048$	$1.069401$	$614716917569296417/19093020912$	$0.99887$	$5.95940$	$[1, 1, 1, -17714, 900047]$	$y^2+xy+y=x^3+x^2-17714x+900047$	2.3.0.a.1, 4.12.0-4.c.1.1, 8.48.0-8.bb.1.1, 92.24.0.?, 112.96.0.?, $\ldots$	$[(79, -1)]$
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	$1288$	$192$	$1$	$1.214523307$	$1$	$18$	$1024$	$0.722827$	$169967019783457/26337394944$	$0.96308$	$4.76733$	$[1, 1, 1, -1154, 12431]$	$y^2+xy+y=x^3+x^2-1154x+12431$	2.6.0.a.1, 4.24.0-4.b.1.3, 8.48.0-8.e.2.2, 56.96.0-56.v.2.6, 92.48.0.?, $\ldots$	$[(7, 65)]$
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	$4440$	$192$	$1$	$1$	$1$	$6$	$3456$	$1.260246$	$1072487167529950801/2554882560000$	$1.07073$	$5.92068$	$[1, 1, 1, -21325, 1187267]$	$y^2+xy+y=x^3+x^2-21325x+1187267$	2.6.0.a.1, 4.24.0-4.b.1.3, 24.48.0-24.h.1.5, 40.48.0-40.l.1.10, 120.96.0.?, $\ldots$	$[]$
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	$4488$	$192$	$1$	$1.893763184$	$1$	$16$	$1024$	$0.744782$	$423108074414017/23284318464$	$0.96119$	$4.79557$	$[1, 1, 1, -1564, -23299]$	$y^2+xy+y=x^3+x^2-1564x-23299$	2.6.0.a.1, 4.24.0-4.b.1.3, 8.48.0-8.d.1.10, 132.48.0.?, 136.96.0.?, $\ldots$	$[(47, 75)]$
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	$9240$	$192$	$1$	$1.700180605$	$1$	$14$	$512$	$0.320720$	$2177286259681/161417025$	$0.90617$	$4.02860$	$[1, 1, 1, -270, 1482]$	$y^2+xy+y=x^3+x^2-270x+1482$	2.6.0.a.1, 4.24.0-4.b.1.3, 56.48.0-56.i.1.9, 88.48.0.?, 120.48.0.?, $\ldots$	$[(12, 6)]$

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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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