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 (24 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
6664.c1	6664b1	6664.c	6664b	$1$	$1$	$ 2^{3} \cdot 7^{2} \cdot 17 $	$ - 2^{11} \cdot 7^{4} \cdot 17^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$136$	$2$	$0$	$4.334300904$	$1$		$0$	$5472$	$0.892459$	$-3241463778/4913$	$0.96554$	$4.23764$	$[0, 0, 0, -5243, -146314]$	$y^2=x^3-5243x-146314$	136.2.0.?	$[(337/2, 799/2)]$
6664.d1	6664c1	6664.d	6664c	$1$	$1$	$ 2^{3} \cdot 7^{2} \cdot 17 $	$ - 2^{11} \cdot 7^{10} \cdot 17^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$136$	$2$	$0$	$9.572317657$	$1$		$0$	$38304$	$1.865414$	$-3241463778/4913$	$0.96554$	$5.56372$	$[0, 0, 0, -256907, 50185702]$	$y^2=x^3-256907x+50185702$	136.2.0.?	$[(14529/2, 1735063/2)]$
13328.l1	13328b1	13328.l	13328b	$1$	$1$	$ 2^{4} \cdot 7^{2} \cdot 17 $	$ - 2^{11} \cdot 7^{4} \cdot 17^{3} $	$2$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$136$	$2$	$0$	$0.140752294$	$1$		$22$	$10944$	$0.892459$	$-3241463778/4913$	$0.96554$	$3.92837$	$[0, 0, 0, -5243, 146314]$	$y^2=x^3-5243x+146314$	136.2.0.?	$[(-63, 476), (39, 34)]$
13328.n1	13328c1	13328.n	13328c	$1$	$1$	$ 2^{4} \cdot 7^{2} \cdot 17 $	$ - 2^{11} \cdot 7^{10} \cdot 17^{3} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$136$	$2$	$0$	$1$	$4$	$2$	$0$	$76608$	$1.865414$	$-3241463778/4913$	$0.96554$	$5.15767$	$[0, 0, 0, -256907, -50185702]$	$y^2=x^3-256907x-50185702$	136.2.0.?	$[ ]$
53312.be1	53312l1	53312.be	53312l	$1$	$1$	$ 2^{6} \cdot 7^{2} \cdot 17 $	$ - 2^{17} \cdot 7^{10} \cdot 17^{3} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$136$	$2$	$0$	$1$	$1$		$0$	$612864$	$2.211987$	$-3241463778/4913$	$0.96554$	$4.88285$	$[0, 0, 0, -1027628, 401485616]$	$y^2=x^3-1027628x+401485616$	136.2.0.?	$[ ]$
53312.bf1	53312bq1	53312.bf	53312bq	$1$	$1$	$ 2^{6} \cdot 7^{2} \cdot 17 $	$ - 2^{17} \cdot 7^{10} \cdot 17^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$136$	$2$	$0$	$28.27822703$	$1$		$0$	$612864$	$2.211987$	$-3241463778/4913$	$0.96554$	$4.88285$	$[0, 0, 0, -1027628, -401485616]$	$y^2=x^3-1027628x-401485616$	136.2.0.?	$[(3777467767056/8563, 7340344057370569132/8563)]$
53312.bk1	53312j1	53312.bk	53312j	$1$	$1$	$ 2^{6} \cdot 7^{2} \cdot 17 $	$ - 2^{17} \cdot 7^{4} \cdot 17^{3} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$136$	$2$	$0$	$1$	$1$		$0$	$87552$	$1.239033$	$-3241463778/4913$	$0.96554$	$3.81012$	$[0, 0, 0, -20972, -1170512]$	$y^2=x^3-20972x-1170512$	136.2.0.?	$[ ]$
53312.bl1	53312bo1	53312.bl	53312bo	$1$	$1$	$ 2^{6} \cdot 7^{2} \cdot 17 $	$ - 2^{17} \cdot 7^{4} \cdot 17^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$136$	$2$	$0$	$0.444991352$	$1$		$4$	$87552$	$1.239033$	$-3241463778/4913$	$0.96554$	$3.81012$	$[0, 0, 0, -20972, 1170512]$	$y^2=x^3-20972x+1170512$	136.2.0.?	$[(112, 476)]$
59976.r1	59976q1	59976.r	59976q	$1$	$1$	$ 2^{3} \cdot 3^{2} \cdot 7^{2} \cdot 17 $	$ - 2^{11} \cdot 3^{6} \cdot 7^{10} \cdot 17^{3} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$136$	$2$	$0$	$1$	$1$		$0$	$1225728$	$2.414719$	$-3241463778/4913$	$0.96554$	$5.05170$	$[0, 0, 0, -2312163, -1355013954]$	$y^2=x^3-2312163x-1355013954$	136.2.0.?	$[ ]$
59976.ba1	59976g1	59976.ba	59976g	$1$	$1$	$ 2^{3} \cdot 3^{2} \cdot 7^{2} \cdot 17 $	$ - 2^{11} \cdot 3^{6} \cdot 7^{4} \cdot 17^{3} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$136$	$2$	$0$	$1$	$1$		$0$	$175104$	$1.441765$	$-3241463778/4913$	$0.96554$	$3.99046$	$[0, 0, 0, -47187, 3950478]$	$y^2=x^3-47187x+3950478$	136.2.0.?	$[ ]$
113288.n1	113288u1	113288.n	113288u	$1$	$1$	$ 2^{3} \cdot 7^{2} \cdot 17^{2} $	$ - 2^{11} \cdot 7^{10} \cdot 17^{9} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$136$	$2$	$0$	$22.73315710$	$1$		$0$	$11031552$	$3.282021$	$-3241463778/4913$	$0.96554$	$5.66993$	$[0, 0, 0, -74246123, 246562353926]$	$y^2=x^3-74246123x+246562353926$	136.2.0.?	$[(139938743617/5998, 27814516452414761/5998)]$
113288.o1	113288r1	113288.o	113288r	$1$	$1$	$ 2^{3} \cdot 7^{2} \cdot 17^{2} $	$ - 2^{11} \cdot 7^{4} \cdot 17^{9} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$136$	$2$	$0$	$1$	$1$		$0$	$1575936$	$2.309067$	$-3241463778/4913$	$0.96554$	$4.66669$	$[0, 0, 0, -1515227, -718840682]$	$y^2=x^3-1515227x-718840682$	136.2.0.?	$[ ]$
119952.da1	119952bg1	119952.da	119952bg	$1$	$1$	$ 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 17 $	$ - 2^{11} \cdot 3^{6} \cdot 7^{10} \cdot 17^{3} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$136$	$2$	$0$	$1$	$1$		$0$	$2451456$	$2.414719$	$-3241463778/4913$	$0.96554$	$4.75229$	$[0, 0, 0, -2312163, 1355013954]$	$y^2=x^3-2312163x+1355013954$	136.2.0.?	$[ ]$
119952.ep1	119952m1	119952.ep	119952m	$1$	$1$	$ 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 17 $	$ - 2^{11} \cdot 3^{6} \cdot 7^{4} \cdot 17^{3} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$136$	$2$	$0$	$1$	$1$		$0$	$350208$	$1.441765$	$-3241463778/4913$	$0.96554$	$3.75395$	$[0, 0, 0, -47187, -3950478]$	$y^2=x^3-47187x-3950478$	136.2.0.?	$[ ]$
166600.w1	166600be1	166600.w	166600be	$1$	$1$	$ 2^{3} \cdot 5^{2} \cdot 7^{2} \cdot 17 $	$ - 2^{11} \cdot 5^{6} \cdot 7^{10} \cdot 17^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$136$	$2$	$0$	$7.793629748$	$1$		$0$	$5362560$	$2.670132$	$-3241463778/4913$	$0.96554$	$4.87736$	$[0, 0, 0, -6422675, 6273212750]$	$y^2=x^3-6422675x+6273212750$	136.2.0.?	$[(-9551/2, 715343/2)]$
166600.x1	166600bg1	166600.x	166600bg	$1$	$1$	$ 2^{3} \cdot 5^{2} \cdot 7^{2} \cdot 17 $	$ - 2^{11} \cdot 5^{6} \cdot 7^{4} \cdot 17^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$136$	$2$	$0$	$19.91481893$	$1$		$0$	$766080$	$1.697178$	$-3241463778/4913$	$0.96554$	$3.90630$	$[0, 0, 0, -131075, -18289250]$	$y^2=x^3-131075x-18289250$	136.2.0.?	$[(1621870929/202, 65314010933983/202)]$
226576.bs1	226576cz1	226576.bs	226576cz	$1$	$1$	$ 2^{4} \cdot 7^{2} \cdot 17^{2} $	$ - 2^{11} \cdot 7^{10} \cdot 17^{9} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$136$	$2$	$0$	$1$	$16$	$2$	$0$	$22063104$	$3.282021$	$-3241463778/4913$	$0.96554$	$5.35121$	$[0, 0, 0, -74246123, -246562353926]$	$y^2=x^3-74246123x-246562353926$	136.2.0.?	$[ ]$
226576.bx1	226576da1	226576.bx	226576da	$1$	$1$	$ 2^{4} \cdot 7^{2} \cdot 17^{2} $	$ - 2^{11} \cdot 7^{4} \cdot 17^{9} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$136$	$2$	$0$	$1.680607716$	$1$		$4$	$3151872$	$2.309067$	$-3241463778/4913$	$0.96554$	$4.40436$	$[0, 0, 0, -1515227, 718840682]$	$y^2=x^3-1515227x+718840682$	136.2.0.?	$[(697, 1156)]$
333200.de1	333200de1	333200.de	333200de	$1$	$1$	$ 2^{4} \cdot 5^{2} \cdot 7^{2} \cdot 17 $	$ - 2^{11} \cdot 5^{6} \cdot 7^{10} \cdot 17^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$136$	$2$	$0$	$25.82871164$	$1$		$0$	$10725120$	$2.670132$	$-3241463778/4913$	$0.96554$	$4.61151$	$[0, 0, 0, -6422675, -6273212750]$	$y^2=x^3-6422675x-6273212750$	136.2.0.?	$[(841978852254/13027, 640707224418466192/13027)]$
333200.di1	333200di1	333200.di	333200di	$1$	$1$	$ 2^{4} \cdot 5^{2} \cdot 7^{2} \cdot 17 $	$ - 2^{11} \cdot 5^{6} \cdot 7^{4} \cdot 17^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$136$	$2$	$0$	$5.867196498$	$1$		$0$	$1532160$	$1.697178$	$-3241463778/4913$	$0.96554$	$3.69337$	$[0, 0, 0, -131075, 18289250]$	$y^2=x^3-131075x+18289250$	136.2.0.?	$[(841/2, 1261/2)]$
479808.gm1	479808gm1	479808.gm	479808gm	$1$	$1$	$ 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 17 $	$ - 2^{17} \cdot 3^{6} \cdot 7^{4} \cdot 17^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$136$	$2$	$0$	$2.990224996$	$1$		$2$	$2801664$	$1.788338$	$-3241463778/4913$	$0.96554$	$3.67405$	$[0, 0, 0, -188748, -31603824]$	$y^2=x^3-188748x-31603824$	136.2.0.?	$[(1218, 39312)]$
479808.hr1	479808hr1	479808.hr	479808hr	$1$	$1$	$ 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 17 $	$ - 2^{17} \cdot 3^{6} \cdot 7^{4} \cdot 17^{3} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$136$	$2$	$0$	$1$	$1$		$0$	$2801664$	$1.788338$	$-3241463778/4913$	$0.96554$	$3.67405$	$[0, 0, 0, -188748, 31603824]$	$y^2=x^3-188748x+31603824$	136.2.0.?	$[ ]$
479808.ko1	479808ko1	479808.ko	479808ko	$1$	$1$	$ 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 17 $	$ - 2^{17} \cdot 3^{6} \cdot 7^{10} \cdot 17^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$136$	$2$	$0$	$1.840331370$	$1$		$2$	$19611648$	$2.761292$	$-3241463778/4913$	$0.96554$	$4.56659$	$[0, 0, 0, -9248652, 10840111632]$	$y^2=x^3-9248652x+10840111632$	136.2.0.?	$[(1842, 7344)]$
479808.lv1	479808lv1	479808.lv	479808lv	$1$	$1$	$ 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 17 $	$ - 2^{17} \cdot 3^{6} \cdot 7^{10} \cdot 17^{3} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$136$	$2$	$0$	$1$	$1$		$0$	$19611648$	$2.761292$	$-3241463778/4913$	$0.96554$	$4.56659$	$[0, 0, 0, -9248652, -10840111632]$	$y^2=x^3-9248652x-10840111632$	136.2.0.?	$[ ]$

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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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