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	Manin constant

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Results (32 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
13440.g2	13440bk1	13440.g	13440bk	$2$	$2$	$ 2^{7} \cdot 3 \cdot 5 \cdot 7 $	$ - 2^{7} \cdot 3^{2} \cdot 5^{2} \cdot 7 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$840$	$12$	$0$	$1$	$1$	$1$	$1280$	$-0.293742$	$2205472/1575$	$0.81633$	$2.04697$	$[0, -1, 0, 14, -14]$	$y^2=x^3-x^2+14x-14$	2.3.0.a.1, 56.6.0.b.1, 60.6.0.b.1, 840.12.0.?	$[ ]$
13440.bf2	13440bw2	13440.bf	13440bw	$2$	$2$	$ 2^{7} \cdot 3 \cdot 5 \cdot 7 $	$ - 2^{13} \cdot 3^{2} \cdot 5^{2} \cdot 7 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$840$	$12$	$0$	$1$	$1$	$1$	$2560$	$0.052831$	$2205472/1575$	$0.81633$	$2.48447$	$[0, -1, 0, 55, 57]$	$y^2=x^3-x^2+55x+57$	2.3.0.a.1, 56.6.0.b.1, 60.6.0.b.1, 840.12.0.?	$[ ]$
13440.bp2	13440cb1	13440.bp	13440cb	$2$	$2$	$ 2^{7} \cdot 3 \cdot 5 \cdot 7 $	$ - 2^{7} \cdot 3^{2} \cdot 5^{2} \cdot 7 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$840$	$12$	$0$	$1$	$1$	$1$	$1280$	$-0.293742$	$2205472/1575$	$0.81633$	$2.04697$	$[0, 1, 0, 14, 14]$	$y^2=x^3+x^2+14x+14$	2.3.0.a.1, 56.6.0.b.1, 60.6.0.b.1, 840.12.0.?	$[ ]$
13440.bw2	13440bc2	13440.bw	13440bc	$2$	$2$	$ 2^{7} \cdot 3 \cdot 5 \cdot 7 $	$ - 2^{13} \cdot 3^{2} \cdot 5^{2} \cdot 7 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$840$	$12$	$0$	$1.166262175$	$1$	$5$	$2560$	$0.052831$	$2205472/1575$	$0.81633$	$2.48447$	$[0, 1, 0, 55, -57]$	$y^2=x^3+x^2+55x-57$	2.3.0.a.1, 56.6.0.b.1, 60.6.0.b.1, 840.12.0.?	$[(3, 12)]$
40320.w2	40320cy2	40320.w	40320cy	$2$	$2$	$ 2^{7} \cdot 3^{2} \cdot 5 \cdot 7 $	$ - 2^{13} \cdot 3^{8} \cdot 5^{2} \cdot 7 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$840$	$12$	$0$	$0.789708374$	$1$	$9$	$20480$	$0.602138$	$2205472/1575$	$0.81633$	$2.84867$	$[0, 0, 0, 492, 2032]$	$y^2=x^3+492x+2032$	2.3.0.a.1, 56.6.0.b.1, 60.6.0.b.1, 840.12.0.?	$[(26, 180)]$
40320.bh2	40320bi2	40320.bh	40320bi	$2$	$2$	$ 2^{7} \cdot 3^{2} \cdot 5 \cdot 7 $	$ - 2^{13} \cdot 3^{8} \cdot 5^{2} \cdot 7 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$840$	$12$	$0$	$1.735367988$	$1$	$5$	$20480$	$0.602138$	$2205472/1575$	$0.81633$	$2.84867$	$[0, 0, 0, 492, -2032]$	$y^2=x^3+492x-2032$	2.3.0.a.1, 56.6.0.b.1, 60.6.0.b.1, 840.12.0.?	$[(13, 81)]$
40320.ce2	40320bu1	40320.ce	40320bu	$2$	$2$	$ 2^{7} \cdot 3^{2} \cdot 5 \cdot 7 $	$ - 2^{7} \cdot 3^{8} \cdot 5^{2} \cdot 7 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$840$	$12$	$0$	$2.255964007$	$1$	$3$	$10240$	$0.255564$	$2205472/1575$	$0.81633$	$2.45650$	$[0, 0, 0, 123, 254]$	$y^2=x^3+123x+254$	2.3.0.a.1, 56.6.0.b.1, 60.6.0.b.1, 840.12.0.?	$[(58, 450)]$
40320.dv2	40320by1	40320.dv	40320by	$2$	$2$	$ 2^{7} \cdot 3^{2} \cdot 5 \cdot 7 $	$ - 2^{7} \cdot 3^{8} \cdot 5^{2} \cdot 7 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$840$	$12$	$0$	$1$	$1$	$1$	$10240$	$0.255564$	$2205472/1575$	$0.81633$	$2.45650$	$[0, 0, 0, 123, -254]$	$y^2=x^3+123x-254$	2.3.0.a.1, 56.6.0.b.1, 60.6.0.b.1, 840.12.0.?	$[ ]$
67200.j2	67200h1	67200.j	67200h	$2$	$2$	$ 2^{7} \cdot 3 \cdot 5^{2} \cdot 7 $	$ - 2^{7} \cdot 3^{2} \cdot 5^{8} \cdot 7 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$840$	$12$	$0$	$2.052222484$	$1$	$3$	$30720$	$0.510977$	$2205472/1575$	$0.81633$	$2.61934$	$[0, -1, 0, 342, 1062]$	$y^2=x^3-x^2+342x+1062$	2.3.0.a.1, 56.6.0.b.1, 60.6.0.b.1, 840.12.0.?	$[(57, 450)]$
67200.bw2	67200eg2	67200.bw	67200eg	$2$	$2$	$ 2^{7} \cdot 3 \cdot 5^{2} \cdot 7 $	$ - 2^{13} \cdot 3^{2} \cdot 5^{8} \cdot 7 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$840$	$12$	$0$	$0.918084803$	$1$	$9$	$61440$	$0.857551$	$2205472/1575$	$0.81633$	$2.99350$	$[0, -1, 0, 1367, -9863]$	$y^2=x^3-x^2+1367x-9863$	2.3.0.a.1, 56.6.0.b.1, 60.6.0.b.1, 840.12.0.?	$[(57, 500)]$
67200.er2	67200bt2	67200.er	67200bt	$2$	$2$	$ 2^{7} \cdot 3 \cdot 5^{2} \cdot 7 $	$ - 2^{13} \cdot 3^{2} \cdot 5^{8} \cdot 7 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$840$	$12$	$0$	$1$	$1$	$1$	$61440$	$0.857551$	$2205472/1575$	$0.81633$	$2.99350$	$[0, 1, 0, 1367, 9863]$	$y^2=x^3+x^2+1367x+9863$	2.3.0.a.1, 56.6.0.b.1, 60.6.0.b.1, 840.12.0.?	$[ ]$
67200.go2	67200ch1	67200.go	67200ch	$2$	$2$	$ 2^{7} \cdot 3 \cdot 5^{2} \cdot 7 $	$ - 2^{7} \cdot 3^{2} \cdot 5^{8} \cdot 7 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$840$	$12$	$0$	$5.742250250$	$1$	$1$	$30720$	$0.510977$	$2205472/1575$	$0.81633$	$2.61934$	$[0, 1, 0, 342, -1062]$	$y^2=x^3+x^2+342x-1062$	2.3.0.a.1, 56.6.0.b.1, 60.6.0.b.1, 840.12.0.?	$[(3133/6, 180125/6)]$
94080.e2	94080m2	94080.e	94080m	$2$	$2$	$ 2^{7} \cdot 3 \cdot 5 \cdot 7^{2} $	$ - 2^{13} \cdot 3^{2} \cdot 5^{2} \cdot 7^{7} $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$840$	$12$	$0$	$1.006951119$	$1$	$25$	$122880$	$1.025787$	$2205472/1575$	$0.81633$	$3.08183$	$[0, -1, 0, 2679, 24921]$	$y^2=x^3-x^2+2679x+24921$	2.3.0.a.1, 56.6.0.b.1, 60.6.0.b.1, 840.12.0.?	$[(5, 196), (103, 1176)]$
94080.bp2	94080du1	94080.bp	94080du	$2$	$2$	$ 2^{7} \cdot 3 \cdot 5 \cdot 7^{2} $	$ - 2^{7} \cdot 3^{2} \cdot 5^{2} \cdot 7^{7} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$840$	$12$	$0$	$1$	$1$	$1$	$61440$	$0.679213$	$2205472/1575$	$0.81633$	$2.71867$	$[0, -1, 0, 670, -3450]$	$y^2=x^3-x^2+670x-3450$	2.3.0.a.1, 56.6.0.b.1, 60.6.0.b.1, 840.12.0.?	$[ ]$
94080.dx2	94080en2	94080.dx	94080en	$2$	$2$	$ 2^{7} \cdot 3 \cdot 5 \cdot 7^{2} $	$ - 2^{13} \cdot 3^{2} \cdot 5^{2} \cdot 7^{7} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$840$	$12$	$0$	$1$	$1$	$1$	$122880$	$1.025787$	$2205472/1575$	$0.81633$	$3.08183$	$[0, 1, 0, 2679, -24921]$	$y^2=x^3+x^2+2679x-24921$	2.3.0.a.1, 56.6.0.b.1, 60.6.0.b.1, 840.12.0.?	$[ ]$
94080.fi2	94080fg1	94080.fi	94080fg	$2$	$2$	$ 2^{7} \cdot 3 \cdot 5 \cdot 7^{2} $	$ - 2^{7} \cdot 3^{2} \cdot 5^{2} \cdot 7^{7} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$840$	$12$	$0$	$3.241914409$	$1$	$1$	$61440$	$0.679213$	$2205472/1575$	$0.81633$	$2.71867$	$[0, 1, 0, 670, 3450]$	$y^2=x^3+x^2+670x+3450$	2.3.0.a.1, 56.6.0.b.1, 60.6.0.b.1, 840.12.0.?	$[(67/3, 2548/3)]$
201600.q2	201600cw2	201600.q	201600cw	$2$	$2$	$ 2^{7} \cdot 3^{2} \cdot 5^{2} \cdot 7 $	$ - 2^{13} \cdot 3^{8} \cdot 5^{8} \cdot 7 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$840$	$12$	$0$	$2.473381469$	$1$	$5$	$491520$	$1.406857$	$2205472/1575$	$0.81633$	$3.26392$	$[0, 0, 0, 12300, -254000]$	$y^2=x^3+12300x-254000$	2.3.0.a.1, 56.6.0.b.1, 60.6.0.b.1, 840.12.0.?	$[(45, 625)]$
201600.em2	201600du1	201600.em	201600du	$2$	$2$	$ 2^{7} \cdot 3^{2} \cdot 5^{2} \cdot 7 $	$ - 2^{7} \cdot 3^{8} \cdot 5^{8} \cdot 7 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$840$	$12$	$0$	$4.761584181$	$1$	$1$	$245760$	$1.060284$	$2205472/1575$	$0.81633$	$2.92342$	$[0, 0, 0, 3075, -31750]$	$y^2=x^3+3075x-31750$	2.3.0.a.1, 56.6.0.b.1, 60.6.0.b.1, 840.12.0.?	$[(481/2, 11529/2)]$
201600.gc2	201600bv1	201600.gc	201600bv	$2$	$2$	$ 2^{7} \cdot 3^{2} \cdot 5^{2} \cdot 7 $	$ - 2^{7} \cdot 3^{8} \cdot 5^{8} \cdot 7 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$840$	$12$	$0$	$1$	$1$	$1$	$245760$	$1.060284$	$2205472/1575$	$0.81633$	$2.92342$	$[0, 0, 0, 3075, 31750]$	$y^2=x^3+3075x+31750$	2.3.0.a.1, 56.6.0.b.1, 60.6.0.b.1, 840.12.0.?	$[ ]$
201600.iw2	201600hn2	201600.iw	201600hn	$2$	$2$	$ 2^{7} \cdot 3^{2} \cdot 5^{2} \cdot 7 $	$ - 2^{13} \cdot 3^{8} \cdot 5^{8} \cdot 7 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$840$	$12$	$0$	$1.558099234$	$1$	$5$	$491520$	$1.406857$	$2205472/1575$	$0.81633$	$3.26392$	$[0, 0, 0, 12300, 254000]$	$y^2=x^3+12300x+254000$	2.3.0.a.1, 56.6.0.b.1, 60.6.0.b.1, 840.12.0.?	$[(40, 900)]$
282240.ba2	282240ba1	282240.ba	282240ba	$2$	$2$	$ 2^{7} \cdot 3^{2} \cdot 5 \cdot 7^{2} $	$ - 2^{7} \cdot 3^{8} \cdot 5^{2} \cdot 7^{7} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$840$	$12$	$0$	$2.177601792$	$1$	$3$	$491520$	$1.228519$	$2205472/1575$	$0.81633$	$3.00590$	$[0, 0, 0, 6027, -87122]$	$y^2=x^3+6027x-87122$	2.3.0.a.1, 56.6.0.b.1, 60.6.0.b.1, 840.12.0.?	$[(42, 490)]$
282240.ep2	282240ep1	282240.ep	282240ep	$2$	$2$	$ 2^{7} \cdot 3^{2} \cdot 5 \cdot 7^{2} $	$ - 2^{7} \cdot 3^{8} \cdot 5^{2} \cdot 7^{7} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$840$	$12$	$0$	$5.451653561$	$1$	$1$	$491520$	$1.228519$	$2205472/1575$	$0.81633$	$3.00590$	$[0, 0, 0, 6027, 87122]$	$y^2=x^3+6027x+87122$	2.3.0.a.1, 56.6.0.b.1, 60.6.0.b.1, 840.12.0.?	$[(1033/2, 34749/2)]$
282240.fv2	282240fv2	282240.fv	282240fv	$2$	$2$	$ 2^{7} \cdot 3^{2} \cdot 5 \cdot 7^{2} $	$ - 2^{13} \cdot 3^{8} \cdot 5^{2} \cdot 7^{7} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$840$	$12$	$0$	$1$	$1$	$1$	$983040$	$1.575092$	$2205472/1575$	$0.81633$	$3.33727$	$[0, 0, 0, 24108, 696976]$	$y^2=x^3+24108x+696976$	2.3.0.a.1, 56.6.0.b.1, 60.6.0.b.1, 840.12.0.?	$[ ]$
282240.jk2	282240jk2	282240.jk	282240jk	$2$	$2$	$ 2^{7} \cdot 3^{2} \cdot 5 \cdot 7^{2} $	$ - 2^{13} \cdot 3^{8} \cdot 5^{2} \cdot 7^{7} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$840$	$12$	$0$	$1.144533792$	$1$	$7$	$983040$	$1.575092$	$2205472/1575$	$0.81633$	$3.33727$	$[0, 0, 0, 24108, -696976]$	$y^2=x^3+24108x-696976$	2.3.0.a.1, 56.6.0.b.1, 60.6.0.b.1, 840.12.0.?	$[(280, 5292)]$
470400.fr2	470400fr1	470400.fr	470400fr	$2$	$2$	$ 2^{7} \cdot 3 \cdot 5^{2} \cdot 7^{2} $	$ - 2^{7} \cdot 3^{2} \cdot 5^{8} \cdot 7^{7} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$840$	$12$	$0$	$1$	$1$	$1$	$1474560$	$1.483932$	$2205472/1575$	$0.81633$	$3.12300$	$[0, -1, 0, 16742, 397762]$	$y^2=x^3-x^2+16742x+397762$	2.3.0.a.1, 56.6.0.b.1, 60.6.0.b.1, 840.12.0.?	$[ ]$
470400.gc2	470400gc2	470400.gc	470400gc	$2$	$2$	$ 2^{7} \cdot 3 \cdot 5^{2} \cdot 7^{2} $	$ - 2^{13} \cdot 3^{2} \cdot 5^{8} \cdot 7^{7} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$840$	$12$	$0$	$1$	$1$	$1$	$2949120$	$1.830505$	$2205472/1575$	$0.81633$	$3.44141$	$[0, -1, 0, 66967, -3249063]$	$y^2=x^3-x^2+66967x-3249063$	2.3.0.a.1, 56.6.0.b.1, 60.6.0.b.1, 840.12.0.?	$[ ]$
470400.hr2	470400hr1	470400.hr	470400hr	$2$	$2$	$ 2^{7} \cdot 3 \cdot 5^{2} \cdot 7^{2} $	$ - 2^{7} \cdot 3^{2} \cdot 5^{8} \cdot 7^{7} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$840$	$12$	$0$	$4.543878185$	$1$	$1$	$1474560$	$1.483932$	$2205472/1575$	$0.81633$	$3.12300$	$[0, 1, 0, 16742, -397762]$	$y^2=x^3+x^2+16742x-397762$	2.3.0.a.1, 56.6.0.b.1, 60.6.0.b.1, 840.12.0.?	$[(11407/3, 1225000/3)]$
470400.ic2	470400ic2	470400.ic	470400ic	$2$	$2$	$ 2^{7} \cdot 3 \cdot 5^{2} \cdot 7^{2} $	$ - 2^{13} \cdot 3^{2} \cdot 5^{8} \cdot 7^{7} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$840$	$12$	$0$	$1$	$1$	$1$	$2949120$	$1.830505$	$2205472/1575$	$0.81633$	$3.44141$	$[0, 1, 0, 66967, 3249063]$	$y^2=x^3+x^2+66967x+3249063$	2.3.0.a.1, 56.6.0.b.1, 60.6.0.b.1, 840.12.0.?	$[ ]$
1411200.ct2	-	1411200.ct	-	$2$	$2$	$ 2^{7} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} $	$ - 2^{7} \cdot 3^{8} \cdot 5^{8} \cdot 7^{7} $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$840$	$12$	$0$	$12.25253758$	$1$	$7$	$11796480$	$2.033237$	$2205472/1575$	$0.81633$	$3.34622$	$[0, 0, 0, 150675, -10890250]$	$y^2=x^3+150675x-10890250$	2.3.0.a.1, 56.6.0.b.1, 60.6.0.b.1, 840.12.0.?	$[(610, 17550), (310, 8100)]$
1411200.ek2	-	1411200.ek	-	$2$	$2$	$ 2^{7} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} $	$ - 2^{13} \cdot 3^{8} \cdot 5^{8} \cdot 7^{7} $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$840$	$12$	$0$	$4.201045795$	$1$	$15$	$23592960$	$2.379810$	$2205472/1575$	$0.81633$	$3.63992$	$[0, 0, 0, 602700, 87122000]$	$y^2=x^3+602700x+87122000$	2.3.0.a.1, 56.6.0.b.1, 60.6.0.b.1, 840.12.0.?	$[(560, 24500), (25060, 3969000)]$
1411200.ur2	-	1411200.ur	-	$2$	$2$	$ 2^{7} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} $	$ - 2^{7} \cdot 3^{8} \cdot 5^{8} \cdot 7^{7} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$840$	$12$	$0$	$1$	$1$	$1$	$11796480$	$2.033237$	$2205472/1575$	$0.81633$	$3.34622$	$[0, 0, 0, 150675, 10890250]$	$y^2=x^3+150675x+10890250$	2.3.0.a.1, 56.6.0.b.1, 60.6.0.b.1, 840.12.0.?	$[ ]$
1411200.wi2	-	1411200.wi	-	$2$	$2$	$ 2^{7} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} $	$ - 2^{13} \cdot 3^{8} \cdot 5^{8} \cdot 7^{7} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$840$	$12$	$0$	$2.975853506$	$1$	$5$	$23592960$	$2.379810$	$2205472/1575$	$0.81633$	$3.63992$	$[0, 0, 0, 602700, -87122000]$	$y^2=x^3+602700x-87122000$	2.3.0.a.1, 56.6.0.b.1, 60.6.0.b.1, 840.12.0.?	$[(170, 4500)]$

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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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