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	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
17280.a1	17280u1	17280.a	17280u	$1$	$1$	$ 2^{7} \cdot 3^{3} \cdot 5 $	$ - 2^{13} \cdot 3^{3} \cdot 5 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$120$	$2$	$0$	$1.236070981$	$1$	$2$	$1920$	$-0.158353$	$864/5$	$0.67699$	$2.17945$	$[0, 0, 0, 12, -48]$	$y^2=x^3+12x-48$	120.2.0.?	$[(4, 8)]$
17280.b1	17280c1	17280.b	17280c	$1$	$1$	$ 2^{7} \cdot 3^{3} \cdot 5 $	$ - 2^{7} \cdot 3^{9} \cdot 5 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$120$	$2$	$0$	$2.139436853$	$1$	$2$	$2880$	$0.044379$	$864/5$	$0.67699$	$2.42878$	$[0, 0, 0, 27, 162]$	$y^2=x^3+27x+162$	120.2.0.?	$[(-2, 10)]$
17280.k1	17280b1	17280.k	17280b	$1$	$1$	$ 2^{7} \cdot 3^{3} \cdot 5 $	$ - 2^{13} \cdot 3^{3} \cdot 5 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$120$	$2$	$0$	$0.690506384$	$1$	$4$	$1920$	$-0.158353$	$864/5$	$0.67699$	$2.17945$	$[0, 0, 0, 12, 48]$	$y^2=x^3+12x+48$	120.2.0.?	$[(-2, 4)]$
17280.l1	17280g1	17280.l	17280g	$1$	$1$	$ 2^{7} \cdot 3^{3} \cdot 5 $	$ - 2^{7} \cdot 3^{9} \cdot 5 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$120$	$2$	$0$	$1$	$1$	$0$	$2880$	$0.044379$	$864/5$	$0.67699$	$2.42878$	$[0, 0, 0, 27, -162]$	$y^2=x^3+27x-162$	120.2.0.?	$[ ]$
17280.o1	17280k1	17280.o	17280k	$1$	$1$	$ 2^{7} \cdot 3^{3} \cdot 5 $	$ - 2^{13} \cdot 3^{9} \cdot 5 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$120$	$2$	$0$	$0.703824879$	$1$	$4$	$5760$	$0.390953$	$864/5$	$0.67699$	$2.85501$	$[0, 0, 0, 108, 1296]$	$y^2=x^3+108x+1296$	120.2.0.?	$[(0, 36)]$
17280.p1	17280r1	17280.p	17280r	$1$	$1$	$ 2^{7} \cdot 3^{3} \cdot 5 $	$ - 2^{7} \cdot 3^{3} \cdot 5 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$120$	$2$	$0$	$2.414253914$	$1$	$2$	$960$	$-0.504927$	$864/5$	$0.67699$	$1.75322$	$[0, 0, 0, 3, -6]$	$y^2=x^3+3x-6$	120.2.0.?	$[(10, 32)]$
17280.u1	17280q1	17280.u	17280q	$1$	$1$	$ 2^{7} \cdot 3^{3} \cdot 5 $	$ - 2^{13} \cdot 3^{9} \cdot 5 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$120$	$2$	$0$	$1.898853516$	$1$	$2$	$5760$	$0.390953$	$864/5$	$0.67699$	$2.85501$	$[0, 0, 0, 108, -1296]$	$y^2=x^3+108x-1296$	120.2.0.?	$[(10, 28)]$
17280.v1	17280w1	17280.v	17280w	$1$	$1$	$ 2^{7} \cdot 3^{3} \cdot 5 $	$ - 2^{7} \cdot 3^{3} \cdot 5 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$120$	$2$	$0$	$1$	$1$	$0$	$960$	$-0.504927$	$864/5$	$0.67699$	$1.75322$	$[0, 0, 0, 3, 6]$	$y^2=x^3+3x+6$	120.2.0.?	$[ ]$
86400.g1	86400n1	86400.g	86400n	$1$	$1$	$ 2^{7} \cdot 3^{3} \cdot 5^{2} $	$ - 2^{7} \cdot 3^{3} \cdot 5^{7} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$120$	$2$	$0$	$0.952503164$	$1$	$2$	$23040$	$0.299792$	$864/5$	$0.67699$	$2.35453$	$[0, 0, 0, 75, 750]$	$y^2=x^3+75x+750$	120.2.0.?	$[(10, 50)]$
86400.h1	86400bl1	86400.h	86400bl	$1$	$1$	$ 2^{7} \cdot 3^{3} \cdot 5^{2} $	$ - 2^{13} \cdot 3^{9} \cdot 5^{7} $	$2$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$120$	$2$	$0$	$0.562069703$	$1$	$20$	$138240$	$1.195671$	$864/5$	$0.67699$	$3.30032$	$[0, 0, 0, 2700, -162000]$	$y^2=x^3+2700x-162000$	120.2.0.?	$[(90, 900), (270, 4500)]$
86400.q1	86400cp1	86400.q	86400cp	$1$	$1$	$ 2^{7} \cdot 3^{3} \cdot 5^{2} $	$ - 2^{7} \cdot 3^{9} \cdot 5^{7} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$120$	$2$	$0$	$1$	$1$	$0$	$69120$	$0.849098$	$864/5$	$0.67699$	$2.93443$	$[0, 0, 0, 675, -20250]$	$y^2=x^3+675x-20250$	120.2.0.?	$[ ]$
86400.r1	86400dr1	86400.r	86400dr	$1$	$1$	$ 2^{7} \cdot 3^{3} \cdot 5^{2} $	$ - 2^{13} \cdot 3^{3} \cdot 5^{7} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$120$	$2$	$0$	$0.834912977$	$1$	$4$	$46080$	$0.646365$	$864/5$	$0.67699$	$2.72041$	$[0, 0, 0, 300, 6000]$	$y^2=x^3+300x+6000$	120.2.0.?	$[(10, 100)]$
86400.di1	86400do1	86400.di	86400do	$1$	$1$	$ 2^{7} \cdot 3^{3} \cdot 5^{2} $	$ - 2^{7} \cdot 3^{9} \cdot 5^{7} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$120$	$2$	$0$	$1.639907053$	$1$	$2$	$69120$	$0.849098$	$864/5$	$0.67699$	$2.93443$	$[0, 0, 0, 675, 20250]$	$y^2=x^3+675x+20250$	120.2.0.?	$[(90, 900)]$
86400.dj1	86400k1	86400.dj	86400k	$1$	$1$	$ 2^{7} \cdot 3^{3} \cdot 5^{2} $	$ - 2^{13} \cdot 3^{3} \cdot 5^{7} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$120$	$2$	$0$	$3.374435077$	$1$	$0$	$46080$	$0.646365$	$864/5$	$0.67699$	$2.72041$	$[0, 0, 0, 300, -6000]$	$y^2=x^3+300x-6000$	120.2.0.?	$[(160/3, 1900/3)]$
86400.ds1	86400bi1	86400.ds	86400bi	$1$	$1$	$ 2^{7} \cdot 3^{3} \cdot 5^{2} $	$ - 2^{7} \cdot 3^{3} \cdot 5^{7} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$120$	$2$	$0$	$1$	$1$	$0$	$23040$	$0.299792$	$864/5$	$0.67699$	$2.35453$	$[0, 0, 0, 75, -750]$	$y^2=x^3+75x-750$	120.2.0.?	$[ ]$
86400.dt1	86400cm1	86400.dt	86400cm	$1$	$1$	$ 2^{7} \cdot 3^{3} \cdot 5^{2} $	$ - 2^{13} \cdot 3^{9} \cdot 5^{7} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$120$	$2$	$0$	$1$	$1$	$0$	$138240$	$1.195671$	$864/5$	$0.67699$	$3.30032$	$[0, 0, 0, 2700, 162000]$	$y^2=x^3+2700x+162000$	120.2.0.?	$[ ]$
846720.bd1	-	846720.bd	-	$1$	$1$	$ 2^{7} \cdot 3^{3} \cdot 5 \cdot 7^{2} $	$ - 2^{7} \cdot 3^{3} \cdot 5 \cdot 7^{6} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$120$	$2$	$0$	$3.852352886$	$1$	$2$	$276480$	$0.468028$	$864/5$	$0.67699$	$2.10872$	$[0, 0, 0, 147, -2058]$	$y^2=x^3+147x-2058$	120.2.0.?	$[(322, 5782)]$
846720.bm1	-	846720.bm	-	$1$	$1$	$ 2^{7} \cdot 3^{3} \cdot 5 \cdot 7^{2} $	$ - 2^{13} \cdot 3^{9} \cdot 5 \cdot 7^{6} $	$2$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$120$	$2$	$0$	$1.694426953$	$1$	$12$	$1658880$	$1.363909$	$864/5$	$0.67699$	$2.89635$	$[0, 0, 0, 5292, 444528]$	$y^2=x^3+5292x+444528$	120.2.0.?	$[(126, 1764), (28, 784)]$
846720.dx1	-	846720.dx	-	$1$	$1$	$ 2^{7} \cdot 3^{3} \cdot 5 \cdot 7^{2} $	$ - 2^{7} \cdot 3^{3} \cdot 5 \cdot 7^{6} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$120$	$2$	$0$	$1$	$1$	$0$	$276480$	$0.468028$	$864/5$	$0.67699$	$2.10872$	$[0, 0, 0, 147, 2058]$	$y^2=x^3+147x+2058$	120.2.0.?	$[ ]$
846720.eg1	-	846720.eg	-	$1$	$1$	$ 2^{7} \cdot 3^{3} \cdot 5 \cdot 7^{2} $	$ - 2^{13} \cdot 3^{9} \cdot 5 \cdot 7^{6} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$120$	$2$	$0$	$1$	$1$	$0$	$1658880$	$1.363909$	$864/5$	$0.67699$	$2.89635$	$[0, 0, 0, 5292, -444528]$	$y^2=x^3+5292x-444528$	120.2.0.?	$[ ]$
846720.gk1	-	846720.gk	-	$1$	$1$	$ 2^{7} \cdot 3^{3} \cdot 5 \cdot 7^{2} $	$ - 2^{7} \cdot 3^{9} \cdot 5 \cdot 7^{6} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$120$	$2$	$0$	$1$	$1$	$0$	$829440$	$1.017334$	$864/5$	$0.67699$	$2.59165$	$[0, 0, 0, 1323, -55566]$	$y^2=x^3+1323x-55566$	120.2.0.?	$[ ]$
846720.gz1	-	846720.gz	-	$1$	$1$	$ 2^{7} \cdot 3^{3} \cdot 5 \cdot 7^{2} $	$ - 2^{13} \cdot 3^{3} \cdot 5 \cdot 7^{6} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$120$	$2$	$0$	$1$	$1$	$0$	$552960$	$0.814602$	$864/5$	$0.67699$	$2.41342$	$[0, 0, 0, 588, 16464]$	$y^2=x^3+588x+16464$	120.2.0.?	$[ ]$
846720.je1	-	846720.je	-	$1$	$1$	$ 2^{7} \cdot 3^{3} \cdot 5 \cdot 7^{2} $	$ - 2^{7} \cdot 3^{9} \cdot 5 \cdot 7^{6} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$120$	$2$	$0$	$8.800530339$	$1$	$0$	$829440$	$1.017334$	$864/5$	$0.67699$	$2.59165$	$[0, 0, 0, 1323, 55566]$	$y^2=x^3+1323x+55566$	120.2.0.?	$[(19726/25, 5606776/25)]$
846720.jt1	-	846720.jt	-	$1$	$1$	$ 2^{7} \cdot 3^{3} \cdot 5 \cdot 7^{2} $	$ - 2^{13} \cdot 3^{3} \cdot 5 \cdot 7^{6} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$120$	$2$	$0$	$1$	$1$	$0$	$552960$	$0.814602$	$864/5$	$0.67699$	$2.41342$	$[0, 0, 0, 588, -16464]$	$y^2=x^3+588x-16464$	120.2.0.?	$[ ]$
4233600.ga1	-	4233600.ga	-	$1$	$1$	$ 2^{7} \cdot 3^{3} \cdot 5^{2} \cdot 7^{2} $	$ - 2^{13} \cdot 3^{3} \cdot 5^{7} \cdot 7^{6} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$120$	$2$	$0$	$1.335937326$	$1$	$2$	$13271040$	$1.619320$	$864/5$	$0.67699$	$2.79172$	$[0, 0, 0, 14700, 2058000]$	$y^2=x^3+14700x+2058000$	120.2.0.?	$[(-35, 1225)]$
4233600.gd1	-	4233600.gd	-	$1$	$1$	$ 2^{7} \cdot 3^{3} \cdot 5^{2} \cdot 7^{2} $	$ - 2^{13} \cdot 3^{9} \cdot 5^{7} \cdot 7^{6} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$120$	$2$	$0$	$1$	$1$	$0$	$39813120$	$2.168629$	$864/5$	$0.67699$	$3.22372$	$[0, 0, 0, 132300, 55566000]$	$y^2=x^3+132300x+55566000$	120.2.0.?	$[ ]$
4233600.hg1	-	4233600.hg	-	$1$	$1$	$ 2^{7} \cdot 3^{3} \cdot 5^{2} \cdot 7^{2} $	$ - 2^{7} \cdot 3^{3} \cdot 5^{7} \cdot 7^{6} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$120$	$2$	$0$	$4.995849353$	$1$	$0$	$6635520$	$1.272747$	$864/5$	$0.67699$	$2.51916$	$[0, 0, 0, 3675, -257250]$	$y^2=x^3+3675x-257250$	120.2.0.?	$[(574/3, 13132/3)]$
4233600.hj1	-	4233600.hj	-	$1$	$1$	$ 2^{7} \cdot 3^{3} \cdot 5^{2} \cdot 7^{2} $	$ - 2^{7} \cdot 3^{9} \cdot 5^{7} \cdot 7^{6} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$120$	$2$	$0$	$8.182376036$	$1$	$0$	$19906560$	$1.822054$	$864/5$	$0.67699$	$2.95116$	$[0, 0, 0, 33075, -6945750]$	$y^2=x^3+33075x-6945750$	120.2.0.?	$[(143185/18, 56537425/18)]$
4233600.bam1	-	4233600.bam	-	$1$	$1$	$ 2^{7} \cdot 3^{3} \cdot 5^{2} \cdot 7^{2} $	$ - 2^{13} \cdot 3^{3} \cdot 5^{7} \cdot 7^{6} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$120$	$2$	$0$	$1.668356271$	$1$	$2$	$13271040$	$1.619320$	$864/5$	$0.67699$	$2.79172$	$[0, 0, 0, 14700, -2058000]$	$y^2=x^3+14700x-2058000$	120.2.0.?	$[(280, 4900)]$
4233600.bap1	-	4233600.bap	-	$1$	$1$	$ 2^{7} \cdot 3^{3} \cdot 5^{2} \cdot 7^{2} $	$ - 2^{13} \cdot 3^{9} \cdot 5^{7} \cdot 7^{6} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$120$	$2$	$0$	$1$	$1$	$0$	$39813120$	$2.168629$	$864/5$	$0.67699$	$3.22372$	$[0, 0, 0, 132300, -55566000]$	$y^2=x^3+132300x-55566000$	120.2.0.?	$[ ]$
4233600.bbs1	-	4233600.bbs	-	$1$	$1$	$ 2^{7} \cdot 3^{3} \cdot 5^{2} \cdot 7^{2} $	$ - 2^{7} \cdot 3^{3} \cdot 5^{7} \cdot 7^{6} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$120$	$2$	$0$	$1$	$1$	$0$	$6635520$	$1.272747$	$864/5$	$0.67699$	$2.51916$	$[0, 0, 0, 3675, 257250]$	$y^2=x^3+3675x+257250$	120.2.0.?	$[ ]$
4233600.bbv1	-	4233600.bbv	-	$1$	$1$	$ 2^{7} \cdot 3^{3} \cdot 5^{2} \cdot 7^{2} $	$ - 2^{7} \cdot 3^{9} \cdot 5^{7} \cdot 7^{6} $	$2$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$120$	$2$	$0$	$4.400842158$	$1$	$4$	$19906560$	$1.822054$	$864/5$	$0.67699$	$2.95116$	$[0, 0, 0, 33075, 6945750]$	$y^2=x^3+33075x+6945750$	120.2.0.?	$[(-90, 1800), (-126, 882)]$

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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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Results (32 matches)

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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