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
154.c4	154b1	154.c	154b	$4$	$4$	$ 2 \cdot 7 \cdot 11 $	$ - 2^{12} \cdot 7 \cdot 11^{2} $	$0$	$\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.24.0.50	2B	$56$	$48$	$0$	$1$	$1$	$3$	$24$	$-0.065974$	$-5545233/3469312$	$1.05747$	$4.46999$	$[1, -1, 1, -4, -89]$	$y^2+xy+y=x^3-x^2-4x-89$	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, $\ldots$	$[]$
1078.j4	1078i1	1078.j	1078i	$4$	$4$	$ 2 \cdot 7^{2} \cdot 11 $	$ - 2^{12} \cdot 7^{7} \cdot 11^{2} $	$1$	$\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.24.0.51	2B	$56$	$48$	$0$	$0.687446525$	$1$	$15$	$1152$	$0.906981$	$-5545233/3469312$	$1.05747$	$4.89635$	$[1, -1, 1, -181, 30797]$	$y^2+xy+y=x^3-x^2-181x+30797$	2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.p.1.8, 14.6.0.b.1, 28.24.0-28.g.1.2, $\ldots$	$[(-1, 176)]$
1232.h4	1232j1	1232.h	1232j	$4$	$4$	$ 2^{4} \cdot 7 \cdot 11 $	$ - 2^{24} \cdot 7 \cdot 11^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.24.0.60	2B	$56$	$48$	$0$	$1$	$1$	$1$	$576$	$0.627173$	$-5545233/3469312$	$1.05747$	$4.33265$	$[0, 0, 0, -59, 5738]$	$y^2=x^3-59x+5738$	2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.p.1.3, 14.6.0.b.1, 28.24.0-28.g.1.1, $\ldots$	$[]$
1386.b4	1386c1	1386.b	1386c	$4$	$4$	$ 2 \cdot 3^{2} \cdot 7 \cdot 11 $	$ - 2^{12} \cdot 3^{6} \cdot 7 \cdot 11^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.12.0.9	2B	$168$	$48$	$0$	$0.791623608$	$1$	$7$	$768$	$0.483332$	$-5545233/3469312$	$1.05747$	$4.02351$	$[1, -1, 0, -33, 2429]$	$y^2+xy=x^3-x^2-33x+2429$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 12.12.0-4.c.1.2, 14.6.0.b.1, $\ldots$	$[(-5, 52)]$
1694.c4	1694d1	1694.c	1694d	$4$	$4$	$ 2 \cdot 7 \cdot 11^{2} $	$ - 2^{12} \cdot 7 \cdot 11^{8} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.12.0.9	2B	$616$	$48$	$0$	$1.942370855$	$1$	$3$	$2880$	$1.132973$	$-5545233/3469312$	$1.05747$	$4.96345$	$[1, -1, 0, -446, 119444]$	$y^2+xy=x^3-x^2-446x+119444$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 14.6.0.b.1, 28.12.0.g.1, $\ldots$	$[(223, 3216)]$
3850.f4	3850f1	3850.f	3850f	$4$	$4$	$ 2 \cdot 5^{2} \cdot 7 \cdot 11 $	$ - 2^{12} \cdot 5^{6} \cdot 7 \cdot 11^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.12.0.9	2B	$280$	$48$	$0$	$1$	$1$	$1$	$3072$	$0.738745$	$-5545233/3469312$	$1.05747$	$3.89685$	$[1, -1, 0, -92, -11184]$	$y^2+xy=x^3-x^2-92x-11184$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 14.6.0.b.1, 20.12.0-4.c.1.2, $\ldots$	$[]$
4928.n4	4928h1	4928.n	4928h	$4$	$4$	$ 2^{6} \cdot 7 \cdot 11 $	$ - 2^{30} \cdot 7 \cdot 11^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.24.0.103	2B	$56$	$48$	$0$	$1$	$1$	$1$	$4608$	$0.973746$	$-5545233/3469312$	$1.05747$	$4.11538$	$[0, 0, 0, -236, -45904]$	$y^2=x^3-236x-45904$	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.p.1.7, 14.6.0.b.1, 28.12.0.g.1, $\ldots$	$[]$
4928.o4	4928bb1	4928.o	4928bb	$4$	$4$	$ 2^{6} \cdot 7 \cdot 11 $	$ - 2^{30} \cdot 7 \cdot 11^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.24.0.101	2B	$56$	$48$	$0$	$2.258785036$	$1$	$5$	$4608$	$0.973746$	$-5545233/3469312$	$1.05747$	$4.11538$	$[0, 0, 0, -236, 45904]$	$y^2=x^3-236x+45904$	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.p.1.5, 14.6.0.b.1, 28.12.0.g.1, $\ldots$	$[(-36, 88)]$
8624.o4	8624w1	8624.o	8624w	$4$	$4$	$ 2^{4} \cdot 7^{2} \cdot 11 $	$ - 2^{24} \cdot 7^{7} \cdot 11^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.24.0.61	2B	$56$	$48$	$0$	$1$	$1$	$1$	$27648$	$1.600128$	$-5545233/3469312$	$1.05747$	$4.69068$	$[0, 0, 0, -2891, -1968134]$	$y^2=x^3-2891x-1968134$	2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.p.1.6, 14.6.0.b.1, 28.24.0-28.g.1.1, $\ldots$	$[]$
9702.v4	9702w1	9702.v	9702w	$4$	$4$	$ 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 $	$ - 2^{12} \cdot 3^{6} \cdot 7^{7} \cdot 11^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.12.0.9	2B	$168$	$48$	$0$	$1$	$1$	$1$	$36864$	$1.456287$	$-5545233/3469312$	$1.05747$	$4.44247$	$[1, -1, 0, -1626, -829900]$	$y^2+xy=x^3-x^2-1626x-829900$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 12.12.0-4.c.1.2, 14.6.0.b.1, $\ldots$	$[]$
11088.k4	11088br1	11088.k	11088br	$4$	$4$	$ 2^{4} \cdot 3^{2} \cdot 7 \cdot 11 $	$ - 2^{24} \cdot 3^{6} \cdot 7 \cdot 11^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.12.0.9	2B	$168$	$48$	$0$	$1$	$1$	$1$	$18432$	$1.176479$	$-5545233/3469312$	$1.05747$	$4.01826$	$[0, 0, 0, -531, -154926]$	$y^2=x^3-531x-154926$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 12.12.0-4.c.1.1, 14.6.0.b.1, $\ldots$	$[]$
11858.j4	11858i1	11858.j	11858i	$4$	$4$	$ 2 \cdot 7^{2} \cdot 11^{2} $	$ - 2^{12} \cdot 7^{7} \cdot 11^{8} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.12.0.9	2B	$616$	$48$	$0$	$5.085096266$	$1$	$1$	$138240$	$2.105930$	$-5545233/3469312$	$1.05747$	$5.17847$	$[1, -1, 0, -21863, -40925571]$	$y^2+xy=x^3-x^2-21863x-40925571$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 14.6.0.b.1, 28.12.0.g.1, $\ldots$	$[(35561/5, 6530826/5)]$
13552.o4	13552m1	13552.o	13552m	$4$	$4$	$ 2^{4} \cdot 7 \cdot 11^{2} $	$ - 2^{24} \cdot 7 \cdot 11^{8} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.12.0.9	2B	$616$	$48$	$0$	$7.240349618$	$1$	$1$	$69120$	$1.826120$	$-5545233/3469312$	$1.05747$	$4.75288$	$[0, 0, 0, -7139, -7637278]$	$y^2=x^3-7139x-7637278$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 14.6.0.b.1, 28.12.0.g.1, $\ldots$	$[(100639/3, 31925366/3)]$
15246.bf4	15246bv1	15246.bf	15246bv	$4$	$4$	$ 2 \cdot 3^{2} \cdot 7 \cdot 11^{2} $	$ - 2^{12} \cdot 3^{6} \cdot 7 \cdot 11^{8} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.12.0.9	2B	$1848$	$48$	$0$	$1.419830522$	$1$	$7$	$92160$	$1.682280$	$-5545233/3469312$	$1.05747$	$4.51556$	$[1, -1, 1, -4016, -3220973]$	$y^2+xy+y=x^3-x^2-4016x-3220973$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 14.6.0.b.1, 28.12.0.g.1, $\ldots$	$[(179, 1241)]$
26026.e4	26026g1	26026.e	26026g	$4$	$4$	$ 2 \cdot 7 \cdot 11 \cdot 13^{2} $	$ - 2^{12} \cdot 7 \cdot 11^{2} \cdot 13^{6} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.12.0.9	2B	$728$	$48$	$0$	$4.776710528$	$1$	$1$	$55296$	$1.216501$	$-5545233/3469312$	$1.05747$	$3.72827$	$[1, -1, 0, -623, -196819]$	$y^2+xy=x^3-x^2-623x-196819$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 14.6.0.b.1, 28.12.0.g.1, $\ldots$	$[(4783/3, 322798/3)]$
26950.w4	26950g1	26950.w	26950g	$4$	$4$	$ 2 \cdot 5^{2} \cdot 7^{2} \cdot 11 $	$ - 2^{12} \cdot 5^{6} \cdot 7^{7} \cdot 11^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.12.0.9	2B	$280$	$48$	$0$	$1$	$1$	$1$	$147456$	$1.711700$	$-5545233/3469312$	$1.05747$	$4.29801$	$[1, -1, 0, -4517, 3845141]$	$y^2+xy=x^3-x^2-4517x+3845141$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 14.6.0.b.1, 20.12.0-4.c.1.2, $\ldots$	$[]$
30800.bg4	30800bh1	30800.bg	30800bh	$4$	$4$	$ 2^{4} \cdot 5^{2} \cdot 7 \cdot 11 $	$ - 2^{24} \cdot 5^{6} \cdot 7 \cdot 11^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.12.0.9	2B	$280$	$48$	$0$	$2.489804271$	$1$	$3$	$73728$	$1.431892$	$-5545233/3469312$	$1.05747$	$3.91760$	$[0, 0, 0, -1475, 717250]$	$y^2=x^3-1475x+717250$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 14.6.0.b.1, 20.12.0-4.c.1.1, $\ldots$	$[(130, 1650)]$
34496.bz4	34496cf1	34496.bz	34496cf	$4$	$4$	$ 2^{6} \cdot 7^{2} \cdot 11 $	$ - 2^{30} \cdot 7^{7} \cdot 11^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.24.0.107	2B	$56$	$48$	$0$	$10.34320614$	$1$	$1$	$221184$	$1.946701$	$-5545233/3469312$	$1.05747$	$4.46636$	$[0, 0, 0, -11564, -15745072]$	$y^2=x^3-11564x-15745072$	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.p.1.4, 14.6.0.b.1, 28.12.0.g.1, $\ldots$	$[(156076/17, 57194192/17)]$
34496.cb4	34496bd1	34496.cb	34496bd	$4$	$4$	$ 2^{6} \cdot 7^{2} \cdot 11 $	$ - 2^{30} \cdot 7^{7} \cdot 11^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.24.0.111	2B	$56$	$48$	$0$	$2.870317271$	$1$	$3$	$221184$	$1.946701$	$-5545233/3469312$	$1.05747$	$4.46636$	$[0, 0, 0, -11564, 15745072]$	$y^2=x^3-11564x+15745072$	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.p.1.2, 14.6.0.b.1, 28.12.0.g.1, $\ldots$	$[(84, 3920)]$
34650.eb4	34650do1	34650.eb	34650do	$4$	$4$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 $	$ - 2^{12} \cdot 3^{6} \cdot 5^{6} \cdot 7 \cdot 11^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.12.0.9	2B	$840$	$48$	$0$	$0.726329113$	$1$	$9$	$98304$	$1.288052$	$-5545233/3469312$	$1.05747$	$3.70833$	$[1, -1, 1, -830, 302797]$	$y^2+xy+y=x^3-x^2-830x+302797$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 14.6.0.b.1, 28.12.0.g.1, $\ldots$	$[(73, 755)]$
42350.cg4	42350bt1	42350.cg	42350bt	$4$	$4$	$ 2 \cdot 5^{2} \cdot 7 \cdot 11^{2} $	$ - 2^{12} \cdot 5^{6} \cdot 7 \cdot 11^{8} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.12.0.9	2B	$3080$	$48$	$0$	$1.309240393$	$1$	$7$	$368640$	$1.937693$	$-5545233/3469312$	$1.05747$	$4.37022$	$[1, -1, 1, -11155, 14919347]$	$y^2+xy+y=x^3-x^2-11155x+14919347$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 14.6.0.b.1, 28.12.0.g.1, $\ldots$	$[(-217, 2770)]$
44352.ds4	44352x1	44352.ds	44352x	$4$	$4$	$ 2^{6} \cdot 3^{2} \cdot 7 \cdot 11 $	$ - 2^{30} \cdot 3^{6} \cdot 7 \cdot 11^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.12.0.9	2B	$168$	$48$	$0$	$1$	$1$	$1$	$147456$	$1.523052$	$-5545233/3469312$	$1.05747$	$3.88633$	$[0, 0, 0, -2124, 1239408]$	$y^2=x^3-2124x+1239408$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 14.6.0.b.1, 24.24.0-8.p.1.5, $\ldots$	$[]$
44352.el4	44352ew1	44352.el	44352ew	$4$	$4$	$ 2^{6} \cdot 3^{2} \cdot 7 \cdot 11 $	$ - 2^{30} \cdot 3^{6} \cdot 7 \cdot 11^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.12.0.9	2B	$168$	$48$	$0$	$7.686314010$	$1$	$1$	$147456$	$1.523052$	$-5545233/3469312$	$1.05747$	$3.88633$	$[0, 0, 0, -2124, -1239408]$	$y^2=x^3-2124x-1239408$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 14.6.0.b.1, 24.24.0-8.p.1.7, $\ldots$	$[(14001/10, 1098999/10)]$
44506.u4	44506x1	44506.u	44506x	$4$	$4$	$ 2 \cdot 7 \cdot 11 \cdot 17^{2} $	$ - 2^{12} \cdot 7 \cdot 11^{2} \cdot 17^{6} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.12.0.9	2B	$952$	$48$	$0$	$1$	$1$	$1$	$122880$	$1.350632$	$-5545233/3469312$	$1.05747$	$3.69177$	$[1, -1, 1, -1066, -440215]$	$y^2+xy+y=x^3-x^2-1066x-440215$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 14.6.0.b.1, 28.12.0.g.1, $\ldots$	$[]$
54208.bi4	54208bw1	54208.bi	54208bw	$4$	$4$	$ 2^{6} \cdot 7 \cdot 11^{2} $	$ - 2^{30} \cdot 7 \cdot 11^{8} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.12.0.9	2B	$616$	$48$	$0$	$8.745648606$	$1$	$1$	$552960$	$2.172695$	$-5545233/3469312$	$1.05747$	$4.52995$	$[0, 0, 0, -28556, -61098224]$	$y^2=x^3-28556x-61098224$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 14.6.0.b.1, 28.12.0.g.1, $\ldots$	$[(222981/5, 105270121/5)]$
54208.bk4	54208bd1	54208.bk	54208bd	$4$	$4$	$ 2^{6} \cdot 7 \cdot 11^{2} $	$ - 2^{30} \cdot 7 \cdot 11^{8} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.12.0.9	2B	$616$	$48$	$0$	$4.871578729$	$1$	$3$	$552960$	$2.172695$	$-5545233/3469312$	$1.05747$	$4.52995$	$[0, 0, 0, -28556, 61098224]$	$y^2=x^3-28556x+61098224$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 14.6.0.b.1, 28.12.0.g.1, $\ldots$	$[(9284, 894432)]$
55594.e4	55594b1	55594.e	55594b	$4$	$4$	$ 2 \cdot 7 \cdot 11 \cdot 19^{2} $	$ - 2^{12} \cdot 7 \cdot 11^{2} \cdot 19^{6} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.12.0.9	2B	$1064$	$48$	$0$	$1$	$1$	$1$	$172800$	$1.406246$	$-5545233/3469312$	$1.05747$	$3.67768$	$[1, -1, 0, -1331, 615285]$	$y^2+xy=x^3-x^2-1331x+615285$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 14.6.0.b.1, 28.12.0.g.1, $\ldots$	$[]$
77616.fd4	77616fg1	77616.fd	77616fg	$4$	$4$	$ 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 11 $	$ - 2^{24} \cdot 3^{6} \cdot 7^{7} \cdot 11^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.12.0.9	2B	$168$	$48$	$0$	$1$	$1$	$1$	$884736$	$2.149433$	$-5545233/3469312$	$1.05747$	$4.36075$	$[0, 0, 0, -26019, 53139618]$	$y^2=x^3-26019x+53139618$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 12.12.0-4.c.1.1, 14.6.0.b.1, $\ldots$	$[]$
81466.bg4	81466bl1	81466.bg	81466bl	$4$	$4$	$ 2 \cdot 7 \cdot 11 \cdot 23^{2} $	$ - 2^{12} \cdot 7 \cdot 11^{2} \cdot 23^{6} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.12.0.9	2B	$1288$	$48$	$0$	$0.814461737$	$1$	$7$	$270336$	$1.501774$	$-5545233/3469312$	$1.05747$	$3.65478$	$[1, -1, 1, -1951, 1091335]$	$y^2+xy+y=x^3-x^2-1951x+1091335$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 14.6.0.b.1, 28.12.0.g.1, $\ldots$	$[(-17, 1066)]$
94864.br4	94864bz1	94864.br	94864bz	$4$	$4$	$ 2^{4} \cdot 7^{2} \cdot 11^{2} $	$ - 2^{24} \cdot 7^{7} \cdot 11^{8} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.12.0.9	2B	$616$	$48$	$0$	$1$	$1$	$1$	$3317760$	$2.799076$	$-5545233/3469312$	$1.05747$	$4.96464$	$[0, 0, 0, -349811, 2619586354]$	$y^2=x^3-349811x+2619586354$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 14.6.0.b.1, 28.12.0.g.1, $\ldots$	$[]$
106722.ha4	106722gt1	106722.ha	106722gt	$4$	$4$	$ 2 \cdot 3^{2} \cdot 7^{2} \cdot 11^{2} $	$ - 2^{12} \cdot 3^{6} \cdot 7^{7} \cdot 11^{8} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.12.0.9	2B	$1848$	$48$	$0$	$2.140574038$	$1$	$3$	$4423680$	$2.655235$	$-5545233/3469312$	$1.05747$	$4.76505$	$[1, -1, 1, -196769, 1105187185]$	$y^2+xy+y=x^3-x^2-196769x+1105187185$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 14.6.0.b.1, 28.12.0.g.1, $\ldots$	$[(685, 35594)]$
121968.ba4	121968eh1	121968.ba	121968eh	$4$	$4$	$ 2^{4} \cdot 3^{2} \cdot 7 \cdot 11^{2} $	$ - 2^{24} \cdot 3^{6} \cdot 7 \cdot 11^{8} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.12.0.9	2B	$1848$	$48$	$0$	$1$	$1$	$1$	$2211840$	$2.375427$	$-5545233/3469312$	$1.05747$	$4.42402$	$[0, 0, 0, -64251, 206206506]$	$y^2=x^3-64251x+206206506$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 14.6.0.b.1, 28.12.0.g.1, $\ldots$	$[]$
123200.dc4	123200dx1	123200.dc	123200dx	$4$	$4$	$ 2^{6} \cdot 5^{2} \cdot 7 \cdot 11 $	$ - 2^{30} \cdot 5^{6} \cdot 7 \cdot 11^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.12.0.9	2B	$280$	$48$	$0$	$1$	$1$	$1$	$589824$	$1.778465$	$-5545233/3469312$	$1.05747$	$3.80908$	$[0, 0, 0, -5900, 5738000]$	$y^2=x^3-5900x+5738000$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 14.6.0.b.1, 28.12.0.g.1, $\ldots$	$[]$
123200.fe4	123200ca1	123200.fe	123200ca	$4$	$4$	$ 2^{6} \cdot 5^{2} \cdot 7 \cdot 11 $	$ - 2^{30} \cdot 5^{6} \cdot 7 \cdot 11^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.12.0.9	2B	$280$	$48$	$0$	$10.10147856$	$1$	$1$	$589824$	$1.778465$	$-5545233/3469312$	$1.05747$	$3.80908$	$[0, 0, 0, -5900, -5738000]$	$y^2=x^3-5900x-5738000$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 14.6.0.b.1, 28.12.0.g.1, $\ldots$	$[(335065/24, 189380125/24)]$
129514.d4	129514b1	129514.d	129514b	$4$	$4$	$ 2 \cdot 7 \cdot 11 \cdot 29^{2} $	$ - 2^{12} \cdot 7 \cdot 11^{2} \cdot 29^{6} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.12.0.9	2B	$1624$	$48$	$0$	$1$	$1$	$1$	$602112$	$1.617674$	$-5545233/3469312$	$1.05747$	$3.62900$	$[1, -1, 0, -3101, -2185851]$	$y^2+xy=x^3-x^2-3101x-2185851$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 14.6.0.b.1, 28.12.0.g.1, $\ldots$	$[]$
147994.z4	147994h1	147994.z	147994h	$4$	$4$	$ 2 \cdot 7 \cdot 11 \cdot 31^{2} $	$ - 2^{12} \cdot 7 \cdot 11^{2} \cdot 31^{6} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.12.0.9	2B	$1736$	$48$	$0$	$1$	$1$	$1$	$691200$	$1.651020$	$-5545233/3469312$	$1.05747$	$3.62195$	$[1, -1, 1, -3544, 2671835]$	$y^2+xy+y=x^3-x^2-3544x+2671835$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 14.6.0.b.1, 28.12.0.g.1, $\ldots$	$[]$
182182.p4	182182bp1	182182.p	182182bp	$4$	$4$	$ 2 \cdot 7^{2} \cdot 11 \cdot 13^{2} $	$ - 2^{12} \cdot 7^{7} \cdot 11^{2} \cdot 13^{6} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.12.0.9	2B	$728$	$48$	$0$	$5.931756959$	$1$	$1$	$2654208$	$2.189457$	$-5545233/3469312$	$1.05747$	$4.09323$	$[1, -1, 0, -30536, 67569984]$	$y^2+xy=x^3-x^2-30536x+67569984$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 14.6.0.b.1, 28.12.0.g.1, $\ldots$	$[(2889/5, 1005003/5)]$
208208.ba4	208208s1	208208.ba	208208s	$4$	$4$	$ 2^{4} \cdot 7 \cdot 11 \cdot 13^{2} $	$ - 2^{24} \cdot 7 \cdot 11^{2} \cdot 13^{6} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.12.0.9	2B	$728$	$48$	$0$	$1$	$1$	$1$	$1327104$	$1.909647$	$-5545233/3469312$	$1.05747$	$3.77441$	$[0, 0, 0, -9971, 12606386]$	$y^2=x^3-9971x+12606386$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 14.6.0.b.1, 28.12.0.g.1, $\ldots$	$[]$
210826.b4	210826i1	210826.b	210826i	$4$	$4$	$ 2 \cdot 7 \cdot 11 \cdot 37^{2} $	$ - 2^{12} \cdot 7 \cdot 11^{2} \cdot 37^{6} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.12.0.9	2B	$2072$	$48$	$0$	$4.484100442$	$1$	$3$	$1244160$	$1.739485$	$-5545233/3469312$	$1.05747$	$3.60400$	$[1, -1, 0, -5048, -4540096]$	$y^2+xy=x^3-x^2-5048x-4540096$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 14.6.0.b.1, 28.12.0.g.1, $\ldots$	$[(3173, 177068)]$
215600.et4	215600db1	215600.et	215600db	$4$	$4$	$ 2^{4} \cdot 5^{2} \cdot 7^{2} \cdot 11 $	$ - 2^{24} \cdot 5^{6} \cdot 7^{7} \cdot 11^{2} $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.12.0.9	2B	$280$	$48$	$0$	$9.207168533$	$1$	$9$	$3538944$	$2.404846$	$-5545233/3469312$	$1.05747$	$4.24755$	$[0, 0, 0, -72275, -246016750]$	$y^2=x^3-72275x-246016750$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 14.6.0.b.1, 20.12.0-4.c.1.1, $\ldots$	$[(1015, 26950), (12665/4, 888525/4)]$
234234.fk4	234234fk1	234234.fk	234234fk	$4$	$4$	$ 2 \cdot 3^{2} \cdot 7 \cdot 11 \cdot 13^{2} $	$ - 2^{12} \cdot 3^{6} \cdot 7 \cdot 11^{2} \cdot 13^{6} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.12.0.9	2B	$2184$	$48$	$0$	$1$	$1$	$1$	$1769472$	$1.765806$	$-5545233/3469312$	$1.05747$	$3.59885$	$[1, -1, 1, -5609, 5319721]$	$y^2+xy+y=x^3-x^2-5609x+5319721$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 14.6.0.b.1, 28.12.0.g.1, $\ldots$	$[]$
242550.nr4	242550nr1	242550.nr	242550nr	$4$	$4$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 11 $	$ - 2^{12} \cdot 3^{6} \cdot 5^{6} \cdot 7^{7} \cdot 11^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.12.0.9	2B	$840$	$48$	$0$	$2.453832009$	$1$	$5$	$4718592$	$2.261005$	$-5545233/3469312$	$1.05747$	$4.06799$	$[1, -1, 1, -40655, -103778153]$	$y^2+xy+y=x^3-x^2-40655x-103778153$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 14.6.0.b.1, 28.12.0.g.1, $\ldots$	$[(899, 23750)]$
258874.r4	258874r1	258874.r	258874r	$4$	$4$	$ 2 \cdot 7 \cdot 11 \cdot 41^{2} $	$ - 2^{12} \cdot 7 \cdot 11^{2} \cdot 41^{6} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.12.0.9	2B	$2296$	$48$	$0$	$1$	$1$	$1$	$1597440$	$1.790812$	$-5545233/3469312$	$1.05747$	$3.59405$	$[1, -1, 1, -6199, -6177649]$	$y^2+xy+y=x^3-x^2-6199x-6177649$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 14.6.0.b.1, 28.12.0.g.1, $\ldots$	$[]$
277200.bb4	277200bb1	277200.bb	277200bb	$4$	$4$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 $	$ - 2^{24} \cdot 3^{6} \cdot 5^{6} \cdot 7 \cdot 11^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.12.0.9	2B	$840$	$48$	$0$	$6.774127472$	$1$	$1$	$2359296$	$1.981197$	$-5545233/3469312$	$1.05747$	$3.75673$	$[0, 0, 0, -13275, -19365750]$	$y^2=x^3-13275x-19365750$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 14.6.0.b.1, 28.12.0.g.1, $\ldots$	$[(10185/4, 970875/4)]$
284746.b4	284746b1	284746.b	284746b	$4$	$4$	$ 2 \cdot 7 \cdot 11 \cdot 43^{2} $	$ - 2^{12} \cdot 7 \cdot 11^{2} \cdot 43^{6} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.12.0.9	2B	$2408$	$48$	$0$	$2.958016713$	$1$	$1$	$1935360$	$1.814627$	$-5545233/3469312$	$1.05747$	$3.58954$	$[1, -1, 0, -6818, 7130004]$	$y^2+xy=x^3-x^2-6818x+7130004$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 14.6.0.b.1, 28.12.0.g.1, $\ldots$	$[(271/3, 70780/3)]$
286286.cf4	286286cf1	286286.cf	286286cf	$4$	$4$	$ 2 \cdot 7 \cdot 11^{2} \cdot 13^{2} $	$ - 2^{12} \cdot 7 \cdot 11^{8} \cdot 13^{6} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.12.0.9	2B	$8008$	$48$	$0$	$1.766706693$	$1$	$3$	$6635520$	$2.415447$	$-5545233/3469312$	$1.05747$	$4.16182$	$[1, -1, 1, -75406, 262192285]$	$y^2+xy+y=x^3-x^2-75406x+262192285$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 14.6.0.b.1, 28.12.0.g.1, $\ldots$	$[(113, 15915)]$
296450.hy4	296450hy1	296450.hy	296450hy	$4$	$4$	$ 2 \cdot 5^{2} \cdot 7^{2} \cdot 11^{2} $	$ - 2^{12} \cdot 5^{6} \cdot 7^{7} \cdot 11^{8} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.12.0.9	2B	$3080$	$48$	$0$	$1$	$1$	$1$	$17694720$	$2.910648$	$-5545233/3469312$	$1.05747$	$4.62193$	$[1, -1, 1, -546580, -5116242953]$	$y^2+xy+y=x^3-x^2-546580x-5116242953$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 14.6.0.b.1, 28.12.0.g.1, $\ldots$	$[]$
310464.df4	310464df1	310464.df	310464df	$4$	$4$	$ 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 11 $	$ - 2^{30} \cdot 3^{6} \cdot 7^{7} \cdot 11^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.12.0.9	2B	$168$	$48$	$0$	$5.661662769$	$1$	$3$	$7077888$	$2.496006$	$-5545233/3469312$	$1.05747$	$4.21158$	$[0, 0, 0, -104076, -425116944]$	$y^2=x^3-104076x-425116944$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 14.6.0.b.1, 24.24.0-8.p.1.4, $\ldots$	$[(10381, 1056979)]$
310464.ey4	310464ey1	310464.ey	310464ey	$4$	$4$	$ 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 11 $	$ - 2^{30} \cdot 3^{6} \cdot 7^{7} \cdot 11^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.12.0.9	2B	$168$	$48$	$0$	$4.956398587$	$1$	$1$	$7077888$	$2.496006$	$-5545233/3469312$	$1.05747$	$4.21158$	$[0, 0, 0, -104076, 425116944]$	$y^2=x^3-104076x+425116944$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 14.6.0.b.1, 24.24.0-8.p.1.2, $\ldots$	$[(7833/2, 703395/2)]$
311542.da4	311542da1	311542.da	311542da	$4$	$4$	$ 2 \cdot 7^{2} \cdot 11 \cdot 17^{2} $	$ - 2^{12} \cdot 7^{7} \cdot 11^{2} \cdot 17^{6} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.12.0.9	2B	$952$	$48$	$0$	$1$	$1$	$1$	$5898240$	$2.323589$	$-5545233/3469312$	$1.05747$	$4.04686$	$[1, -1, 1, -52219, 151098091]$	$y^2+xy+y=x^3-x^2-52219x+151098091$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 14.6.0.b.1, 28.12.0.g.1, $\ldots$	$[]$

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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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