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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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Results (22 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	Adelic level	Adelic index	Adelic genus	Regulator	$Ш_{\textrm{an}}$	Ш primes	Integral points	Modular degree	Faltings height	j-invariant	$abc$ quality	Szpiro ratio	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators
20328.k1	20328v1	20328.k	20328v	$1$	$1$	$ 2^{3} \cdot 3 \cdot 7 \cdot 11^{2} $	$ - 2^{4} \cdot 3^{21} \cdot 7 \cdot 11^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$462$	$2$	$0$	$0.157194862$	$1$		$6$	$80640$	$1.596090$	$5820759945472/73222472421$	$1.04790$	$4.27336$	$[0, 1, 0, 10388, 1859141]$	$y^2=x^3+x^2+10388x+1859141$	462.2.0.?	$[(-70, 891)]$
20328.m1	20328h1	20328.m	20328h	$1$	$1$	$ 2^{3} \cdot 3 \cdot 7 \cdot 11^{2} $	$ - 2^{4} \cdot 3^{21} \cdot 7 \cdot 11^{9} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$462$	$2$	$0$	$0.891181751$	$1$		$4$	$887040$	$2.795040$	$5820759945472/73222472421$	$1.04790$	$5.72373$	$[0, 1, 0, 1256908, -2469488991]$	$y^2=x^3+x^2+1256908x-2469488991$	462.2.0.?	$[(20368, 2910897)]$
40656.e1	40656c1	40656.e	40656c	$1$	$1$	$ 2^{4} \cdot 3 \cdot 7 \cdot 11^{2} $	$ - 2^{4} \cdot 3^{21} \cdot 7 \cdot 11^{9} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$462$	$2$	$0$	$14.87477711$	$1$		$0$	$1774080$	$2.795040$	$5820759945472/73222472421$	$1.04790$	$5.34991$	$[0, -1, 0, 1256908, 2469488991]$	$y^2=x^3-x^2+1256908x+2469488991$	462.2.0.?	$[(84516415/141, 815446971449/141)]$
40656.f1	40656p1	40656.f	40656p	$1$	$1$	$ 2^{4} \cdot 3 \cdot 7 \cdot 11^{2} $	$ - 2^{4} \cdot 3^{21} \cdot 7 \cdot 11^{3} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$462$	$2$	$0$	$1$	$1$		$0$	$161280$	$1.596090$	$5820759945472/73222472421$	$1.04790$	$3.99426$	$[0, -1, 0, 10388, -1859141]$	$y^2=x^3-x^2+10388x-1859141$	462.2.0.?	$[]$
60984.ca1	60984p1	60984.ca	60984p	$1$	$1$	$ 2^{3} \cdot 3^{2} \cdot 7 \cdot 11^{2} $	$ - 2^{4} \cdot 3^{27} \cdot 7 \cdot 11^{3} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$462$	$2$	$0$	$1$	$1$		$0$	$645120$	$2.145397$	$5820759945472/73222472421$	$1.04790$	$4.44552$	$[0, 0, 0, 93489, -50103317]$	$y^2=x^3+93489x-50103317$	462.2.0.?	$[]$
60984.ch1	60984cc1	60984.ch	60984cc	$1$	$1$	$ 2^{3} \cdot 3^{2} \cdot 7 \cdot 11^{2} $	$ - 2^{4} \cdot 3^{27} \cdot 7 \cdot 11^{9} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$462$	$2$	$0$	$1$	$4$	$2$	$0$	$7096320$	$3.344345$	$5820759945472/73222472421$	$1.04790$	$5.75128$	$[0, 0, 0, 11312169, 66687514927]$	$y^2=x^3+11312169x+66687514927$	462.2.0.?	$[]$
121968.fn1	121968bb1	121968.fn	121968bb	$1$	$1$	$ 2^{4} \cdot 3^{2} \cdot 7 \cdot 11^{2} $	$ - 2^{4} \cdot 3^{27} \cdot 7 \cdot 11^{9} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$462$	$2$	$0$	$1$	$25$	$5$	$0$	$14192640$	$3.344345$	$5820759945472/73222472421$	$1.04790$	$5.41089$	$[0, 0, 0, 11312169, -66687514927]$	$y^2=x^3+11312169x-66687514927$	462.2.0.?	$[]$
121968.fu1	121968bt1	121968.fu	121968bt	$1$	$1$	$ 2^{4} \cdot 3^{2} \cdot 7 \cdot 11^{2} $	$ - 2^{4} \cdot 3^{27} \cdot 7 \cdot 11^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$462$	$2$	$0$	$11.36319736$	$1$		$0$	$1290240$	$2.145397$	$5820759945472/73222472421$	$1.04790$	$4.18241$	$[0, 0, 0, 93489, 50103317]$	$y^2=x^3+93489x+50103317$	462.2.0.?	$[(193292/17, 99701503/17)]$
142296.bu1	142296dt1	142296.bu	142296dt	$1$	$1$	$ 2^{3} \cdot 3 \cdot 7^{2} \cdot 11^{2} $	$ - 2^{4} \cdot 3^{21} \cdot 7^{7} \cdot 11^{9} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$462$	$2$	$0$	$1$	$4$	$2$	$0$	$42577920$	$3.767994$	$5820759945472/73222472421$	$1.04790$	$5.76904$	$[0, -1, 0, 61588476, 847157900877]$	$y^2=x^3-x^2+61588476x+847157900877$	462.2.0.?	$[]$
142296.bx1	142296bs1	142296.bx	142296bs	$1$	$1$	$ 2^{3} \cdot 3 \cdot 7^{2} \cdot 11^{2} $	$ - 2^{4} \cdot 3^{21} \cdot 7^{7} \cdot 11^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$462$	$2$	$0$	$11.24378229$	$1$		$0$	$3870720$	$2.569046$	$5820759945472/73222472421$	$1.04790$	$4.55652$	$[0, -1, 0, 508996, -636667359]$	$y^2=x^3-x^2+508996x-636667359$	462.2.0.?	$[(1379040/41, 1256436489/41)]$
162624.dz1	162624jb1	162624.dz	162624jb	$1$	$1$	$ 2^{6} \cdot 3 \cdot 7 \cdot 11^{2} $	$ - 2^{10} \cdot 3^{21} \cdot 7 \cdot 11^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$462$	$2$	$0$	$17.52327784$	$1$		$0$	$1290240$	$1.942665$	$5820759945472/73222472421$	$1.04790$	$3.87939$	$[0, -1, 0, 41551, 14831577]$	$y^2=x^3-x^2+41551x+14831577$	462.2.0.?	$[(115652464/329, 1273016594597/329)]$
162624.ea1	162624iw1	162624.ea	162624iw	$1$	$1$	$ 2^{6} \cdot 3 \cdot 7 \cdot 11^{2} $	$ - 2^{10} \cdot 3^{21} \cdot 7 \cdot 11^{9} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$462$	$2$	$0$	$1$	$25$	$5$	$0$	$14192640$	$3.141613$	$5820759945472/73222472421$	$1.04790$	$5.07842$	$[0, -1, 0, 5027631, -19760939559]$	$y^2=x^3-x^2+5027631x-19760939559$	462.2.0.?	$[]$
162624.ie1	162624bv1	162624.ie	162624bv	$1$	$1$	$ 2^{6} \cdot 3 \cdot 7 \cdot 11^{2} $	$ - 2^{10} \cdot 3^{21} \cdot 7 \cdot 11^{9} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$462$	$2$	$0$	$3.269692111$	$1$		$0$	$14192640$	$3.141613$	$5820759945472/73222472421$	$1.04790$	$5.07842$	$[0, 1, 0, 5027631, 19760939559]$	$y^2=x^3+x^2+5027631x+19760939559$	462.2.0.?	$[(-48126/5, 6792093/5)]$
162624.iy1	162624bq1	162624.iy	162624bq	$1$	$1$	$ 2^{6} \cdot 3 \cdot 7 \cdot 11^{2} $	$ - 2^{10} \cdot 3^{21} \cdot 7 \cdot 11^{3} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$462$	$2$	$0$	$1$	$1$		$0$	$1290240$	$1.942665$	$5820759945472/73222472421$	$1.04790$	$3.87939$	$[0, 1, 0, 41551, -14831577]$	$y^2=x^3+x^2+41551x-14831577$	462.2.0.?	$[]$
284592.kf1	284592kf1	284592.kf	284592kf	$1$	$1$	$ 2^{4} \cdot 3 \cdot 7^{2} \cdot 11^{2} $	$ - 2^{4} \cdot 3^{21} \cdot 7^{7} \cdot 11^{9} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$462$	$2$	$0$	$5.822438948$	$1$		$0$	$85155840$	$3.767994$	$5820759945472/73222472421$	$1.04790$	$5.45064$	$[0, 1, 0, 61588476, -847157900877]$	$y^2=x^3+x^2+61588476x-847157900877$	462.2.0.?	$[(461889/5, 321073137/5)]$
284592.kr1	284592kr1	284592.kr	284592kr	$1$	$1$	$ 2^{4} \cdot 3 \cdot 7^{2} \cdot 11^{2} $	$ - 2^{4} \cdot 3^{21} \cdot 7^{7} \cdot 11^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$462$	$2$	$0$	$0.595949817$	$1$		$0$	$7741440$	$2.569046$	$5820759945472/73222472421$	$1.04790$	$4.30504$	$[0, 1, 0, 508996, 636667359]$	$y^2=x^3+x^2+508996x+636667359$	462.2.0.?	$[(4285/2, 392931/2)]$
426888.t1	426888t1	426888.t	426888t	$1$	$1$	$ 2^{3} \cdot 3^{2} \cdot 7^{2} \cdot 11^{2} $	$ - 2^{4} \cdot 3^{27} \cdot 7^{7} \cdot 11^{9} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$462$	$2$	$0$	$1$	$1$		$0$	$340623360$	$4.317299$	$5820759945472/73222472421$	$1.04790$	$5.78861$	$[0, 0, 0, 554296281, -22873817619961]$	$y^2=x^3+554296281x-22873817619961$	462.2.0.?	$[]$
426888.bb1	426888bb1	426888.bb	426888bb	$1$	$1$	$ 2^{3} \cdot 3^{2} \cdot 7^{2} \cdot 11^{2} $	$ - 2^{4} \cdot 3^{27} \cdot 7^{7} \cdot 11^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$462$	$2$	$0$	$5.803569402$	$1$		$2$	$30965760$	$3.118351$	$5820759945472/73222472421$	$1.04790$	$4.67884$	$[0, 0, 0, 4580961, 17185437731]$	$y^2=x^3+4580961x+17185437731$	462.2.0.?	$[(1639, 170577)]$
487872.bd1	487872bd1	487872.bd	487872bd	$1$	$1$	$ 2^{6} \cdot 3^{2} \cdot 7 \cdot 11^{2} $	$ - 2^{10} \cdot 3^{27} \cdot 7 \cdot 11^{9} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$462$	$2$	$0$	$23.83616618$	$1$		$0$	$113541120$	$3.690918$	$5820759945472/73222472421$	$1.04790$	$5.15572$	$[0, 0, 0, 45248676, -533500119416]$	$y^2=x^3+45248676x-533500119416$	462.2.0.?	$[(386833093540289/247888, 439519983646016144223/247888)]$
487872.bp1	487872bp1	487872.bp	487872bp	$1$	$1$	$ 2^{6} \cdot 3^{2} \cdot 7 \cdot 11^{2} $	$ - 2^{10} \cdot 3^{27} \cdot 7 \cdot 11^{3} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$462$	$2$	$0$	$1$	$1$		$0$	$10321920$	$2.491970$	$5820759945472/73222472421$	$1.04790$	$4.05726$	$[0, 0, 0, 373956, -400826536]$	$y^2=x^3+373956x-400826536$	462.2.0.?	$[]$
487872.ci1	487872ci1	487872.ci	487872ci	$1$	$1$	$ 2^{6} \cdot 3^{2} \cdot 7 \cdot 11^{2} $	$ - 2^{10} \cdot 3^{27} \cdot 7 \cdot 11^{9} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$462$	$2$	$0$	$34.24974069$	$1$		$0$	$113541120$	$3.690918$	$5820759945472/73222472421$	$1.04790$	$5.15572$	$[0, 0, 0, 45248676, 533500119416]$	$y^2=x^3+45248676x+533500119416$	462.2.0.?	$[(78667679960695045/777967, 22096725864622504380627507/777967)]$
487872.cv1	487872cv1	487872.cv	487872cv	$1$	$1$	$ 2^{6} \cdot 3^{2} \cdot 7 \cdot 11^{2} $	$ - 2^{10} \cdot 3^{27} \cdot 7 \cdot 11^{3} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$462$	$2$	$0$	$1$	$1$		$0$	$10321920$	$2.491970$	$5820759945472/73222472421$	$1.04790$	$4.05726$	$[0, 0, 0, 373956, 400826536]$	$y^2=x^3+373956x+400826536$	462.2.0.?	$[]$

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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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