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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	Manin constant

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Results (20 matches)

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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	$Ш_{\textrm{an}}$	Integral points	Modular degree	Faltings height	j-invariant	$abc$ quality	Szpiro ratio	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators
5220.f2	5220a1	5220.f	5220a	$2$	$3$	$ 2^{2} \cdot 3^{2} \cdot 5 \cdot 29 $	$ - 2^{4} \cdot 3^{3} \cdot 5^{2} \cdot 29^{3} $	$1$	$\Z/3\Z$	$\Q$	$\mathrm{SU}(2)$	$3$	3.8.0.1	3B.1.1	$174$	$16$	$0$	$0.770061669$	$1$	$8$	$1152$	$0.303957$	$813189888/609725$	$0.98400$	$3.10562$	$[0, 0, 0, 147, 373]$	$y^2=x^3+147x+373$	3.8.0-3.a.1.2, 174.16.0.?	$[(-1, 15)]$
5220.m2	5220d2	5220.m	5220d	$2$	$3$	$ 2^{2} \cdot 3^{2} \cdot 5 \cdot 29 $	$ - 2^{4} \cdot 3^{9} \cdot 5^{2} \cdot 29^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.8.0.2	3B.1.2	$174$	$16$	$0$	$1.808837965$	$1$	$2$	$3456$	$0.853263$	$813189888/609725$	$0.98400$	$3.87565$	$[0, 0, 0, 1323, -10071]$	$y^2=x^3+1323x-10071$	3.8.0-3.a.1.1, 174.16.0.?	$[(48, 405)]$
20880.s2	20880bg1	20880.s	20880bg	$2$	$3$	$ 2^{4} \cdot 3^{2} \cdot 5 \cdot 29 $	$ - 2^{4} \cdot 3^{3} \cdot 5^{2} \cdot 29^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.4.0.1	3B	$348$	$16$	$0$	$0.445591191$	$1$	$2$	$4608$	$0.303957$	$813189888/609725$	$0.98400$	$2.67278$	$[0, 0, 0, 147, -373]$	$y^2=x^3+147x-373$	3.4.0.a.1, 12.8.0-3.a.1.1, 174.8.0.?, 348.16.0.?	$[(26, 145)]$
20880.bx2	20880bl2	20880.bx	20880bl	$2$	$3$	$ 2^{4} \cdot 3^{2} \cdot 5 \cdot 29 $	$ - 2^{4} \cdot 3^{9} \cdot 5^{2} \cdot 29^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.4.0.1	3B	$348$	$16$	$0$	$2.124112541$	$1$	$2$	$13824$	$0.853263$	$813189888/609725$	$0.98400$	$3.33549$	$[0, 0, 0, 1323, 10071]$	$y^2=x^3+1323x+10071$	3.4.0.a.1, 12.8.0-3.a.1.2, 174.8.0.?, 348.16.0.?	$[(6, 135)]$
26100.t2	26100f1	26100.t	26100f	$2$	$3$	$ 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 29 $	$ - 2^{4} \cdot 3^{3} \cdot 5^{8} \cdot 29^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.4.0.1	3B	$870$	$16$	$0$	$0.877381303$	$1$	$2$	$27648$	$1.108677$	$813189888/609725$	$0.98400$	$3.56368$	$[0, 0, 0, 3675, 46625]$	$y^2=x^3+3675x+46625$	3.4.0.a.1, 15.8.0-3.a.1.2, 174.8.0.?, 870.16.0.?	$[(160, 2175)]$
26100.w2	26100a2	26100.w	26100a	$2$	$3$	$ 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 29 $	$ - 2^{4} \cdot 3^{9} \cdot 5^{8} \cdot 29^{3} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.4.0.1	3B	$870$	$16$	$0$	$1$	$1$	$0$	$82944$	$1.657982$	$813189888/609725$	$0.98400$	$4.21185$	$[0, 0, 0, 33075, -1258875]$	$y^2=x^3+33075x-1258875$	3.4.0.a.1, 15.8.0-3.a.1.1, 174.8.0.?, 870.16.0.?	$[ ]$
83520.bf2	83520e2	83520.bf	83520e	$2$	$3$	$ 2^{6} \cdot 3^{2} \cdot 5 \cdot 29 $	$ - 2^{10} \cdot 3^{9} \cdot 5^{2} \cdot 29^{3} $	$2$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.4.0.1	3B	$696$	$16$	$0$	$2.084677491$	$1$	$6$	$110592$	$1.199837$	$813189888/609725$	$0.98400$	$3.29445$	$[0, 0, 0, 5292, -80568]$	$y^2=x^3+5292x-80568$	3.4.0.a.1, 24.8.0-3.a.1.1, 174.8.0.?, 696.16.0.?	$[(69, 783), (321/4, 11745/4)]$
83520.cc2	83520dn2	83520.cc	83520dn	$2$	$3$	$ 2^{6} \cdot 3^{2} \cdot 5 \cdot 29 $	$ - 2^{10} \cdot 3^{9} \cdot 5^{2} \cdot 29^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.4.0.1	3B	$696$	$16$	$0$	$1.308176746$	$1$	$2$	$110592$	$1.199837$	$813189888/609725$	$0.98400$	$3.29445$	$[0, 0, 0, 5292, 80568]$	$y^2=x^3+5292x+80568$	3.4.0.a.1, 24.8.0-3.a.1.3, 174.8.0.?, 696.16.0.?	$[(-11, 145)]$
83520.er2	83520k1	83520.er	83520k	$2$	$3$	$ 2^{6} \cdot 3^{2} \cdot 5 \cdot 29 $	$ - 2^{10} \cdot 3^{3} \cdot 5^{2} \cdot 29^{3} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.4.0.1	3B	$696$	$16$	$0$	$1$	$1$	$0$	$36864$	$0.650531$	$813189888/609725$	$0.98400$	$2.71280$	$[0, 0, 0, 588, 2984]$	$y^2=x^3+588x+2984$	3.4.0.a.1, 24.8.0-3.a.1.2, 174.8.0.?, 696.16.0.?	$[ ]$
83520.fi2	83520dt1	83520.fi	83520dt	$2$	$3$	$ 2^{6} \cdot 3^{2} \cdot 5 \cdot 29 $	$ - 2^{10} \cdot 3^{3} \cdot 5^{2} \cdot 29^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.4.0.1	3B	$696$	$16$	$0$	$2.699308205$	$1$	$2$	$36864$	$0.650531$	$813189888/609725$	$0.98400$	$2.71280$	$[0, 0, 0, 588, -2984]$	$y^2=x^3+588x-2984$	3.4.0.a.1, 24.8.0-3.a.1.4, 174.8.0.?, 696.16.0.?	$[(5, 9)]$
104400.cs2	104400ct2	104400.cs	104400ct	$2$	$3$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 29 $	$ - 2^{4} \cdot 3^{9} \cdot 5^{8} \cdot 29^{3} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.4.0.1	3B	$1740$	$16$	$0$	$1$	$1$	$0$	$331776$	$1.657982$	$813189888/609725$	$0.98400$	$3.70658$	$[0, 0, 0, 33075, 1258875]$	$y^2=x^3+33075x+1258875$	3.4.0.a.1, 60.8.0-3.a.1.1, 174.8.0.?, 1740.16.0.?	$[ ]$
104400.db2	104400de1	104400.db	104400de	$2$	$3$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 29 $	$ - 2^{4} \cdot 3^{3} \cdot 5^{8} \cdot 29^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.4.0.1	3B	$1740$	$16$	$0$	$1.385320117$	$1$	$2$	$110592$	$1.108677$	$813189888/609725$	$0.98400$	$3.13617$	$[0, 0, 0, 3675, -46625]$	$y^2=x^3+3675x-46625$	3.4.0.a.1, 60.8.0-3.a.1.2, 174.8.0.?, 1740.16.0.?	$[(14, 87)]$
151380.j2	151380bf1	151380.j	151380bf	$2$	$3$	$ 2^{2} \cdot 3^{2} \cdot 5 \cdot 29^{2} $	$ - 2^{4} \cdot 3^{3} \cdot 5^{2} \cdot 29^{9} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.4.0.1	3B	$174$	$16$	$0$	$1$	$1$	$0$	$967680$	$1.987604$	$813189888/609725$	$0.98400$	$3.92274$	$[0, 0, 0, 123627, 9097097]$	$y^2=x^3+123627x+9097097$	3.4.0.a.1, 6.8.0-3.a.1.2, 87.8.0.?, 174.16.0.?	$[ ]$
151380.v2	151380y2	151380.v	151380y	$2$	$3$	$ 2^{2} \cdot 3^{2} \cdot 5 \cdot 29^{2} $	$ - 2^{4} \cdot 3^{9} \cdot 5^{2} \cdot 29^{9} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.4.0.1	3B	$174$	$16$	$0$	$1.331518774$	$1$	$2$	$2903040$	$2.536911$	$813189888/609725$	$0.98400$	$4.47538$	$[0, 0, 0, 1112643, -245621619]$	$y^2=x^3+1112643x-245621619$	3.4.0.a.1, 6.8.0-3.a.1.1, 87.8.0.?, 174.16.0.?	$[(580, 24389)]$
255780.v2	255780v2	255780.v	255780v	$2$	$3$	$ 2^{2} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 29 $	$ - 2^{4} \cdot 3^{9} \cdot 5^{2} \cdot 7^{6} \cdot 29^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.4.0.1	3B	$1218$	$16$	$0$	$7.950375544$	$1$	$0$	$1306368$	$1.826218$	$813189888/609725$	$0.98400$	$3.60197$	$[0, 0, 0, 64827, 3454353]$	$y^2=x^3+64827x+3454353$	3.4.0.a.1, 21.8.0-3.a.1.2, 174.8.0.?, 1218.16.0.?	$[(21561/8, 4080915/8)]$
255780.bj2	255780bj1	255780.bj	255780bj	$2$	$3$	$ 2^{2} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 29 $	$ - 2^{4} \cdot 3^{3} \cdot 5^{2} \cdot 7^{6} \cdot 29^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.4.0.1	3B	$1218$	$16$	$0$	$0.576469566$	$1$	$6$	$435456$	$1.276913$	$813189888/609725$	$0.98400$	$3.07261$	$[0, 0, 0, 7203, -127939]$	$y^2=x^3+7203x-127939$	3.4.0.a.1, 21.8.0-3.a.1.1, 174.8.0.?, 1218.16.0.?	$[(37, 435)]$
417600.fq2	417600fq1	417600.fq	417600fq	$2$	$3$	$ 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 29 $	$ - 2^{10} \cdot 3^{3} \cdot 5^{8} \cdot 29^{3} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.4.0.1	3B	$3480$	$16$	$0$	$1$	$1$	$0$	$884736$	$1.455250$	$813189888/609725$	$0.98400$	$3.12158$	$[0, 0, 0, 14700, -373000]$	$y^2=x^3+14700x-373000$	3.4.0.a.1, 120.8.0.?, 174.8.0.?, 3480.16.0.?	$[ ]$
417600.gk2	417600gk2	417600.gk	417600gk	$2$	$3$	$ 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 29 $	$ - 2^{10} \cdot 3^{9} \cdot 5^{8} \cdot 29^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.4.0.1	3B	$3480$	$16$	$0$	$3.374065157$	$1$	$2$	$2654208$	$2.004555$	$813189888/609725$	$0.98400$	$3.63090$	$[0, 0, 0, 132300, 10071000]$	$y^2=x^3+132300x+10071000$	3.4.0.a.1, 120.8.0.?, 174.8.0.?, 3480.16.0.?	$[(1221, 44631)]$
417600.jg2	417600jg2	417600.jg	417600jg	$2$	$3$	$ 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 29 $	$ - 2^{10} \cdot 3^{9} \cdot 5^{8} \cdot 29^{3} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.4.0.1	3B	$3480$	$16$	$0$	$1$	$1$	$0$	$2654208$	$2.004555$	$813189888/609725$	$0.98400$	$3.63090$	$[0, 0, 0, 132300, -10071000]$	$y^2=x^3+132300x-10071000$	3.4.0.a.1, 120.8.0.?, 174.8.0.?, 3480.16.0.?	$[ ]$
417600.ka2	417600ka1	417600.ka	417600ka	$2$	$3$	$ 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 29 $	$ - 2^{10} \cdot 3^{3} \cdot 5^{8} \cdot 29^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.4.0.1	3B	$3480$	$16$	$0$	$5.474947758$	$1$	$2$	$884736$	$1.455250$	$813189888/609725$	$0.98400$	$3.12158$	$[0, 0, 0, 14700, 373000]$	$y^2=x^3+14700x+373000$	3.4.0.a.1, 120.8.0.?, 174.8.0.?, 3480.16.0.?	$[(341, 6711)]$

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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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