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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

Intrinsic torsion order

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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	Adelic level	Adelic index	Adelic genus	Regulator	$Ш_{\textrm{an}}$	Ш primes	Integral points	Modular degree	Faltings height	j-invariant	$abc$ quality	Szpiro ratio	Intrinsic torsion order	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators	Manin constant
11616.o1	11616g1	11616.o	11616g	$1$	$1$	$ 2^{5} \cdot 3 \cdot 11^{2} $	$ - 2^{12} \cdot 3^{18} \cdot 11^{8} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$2$	4.2.0.1	$24$	$4$	$0$	$1$	$1$		$0$	$380160$	$2.620708$	$36534162368/387420489$	$1.10253$	$5.84121$	$1$	$[0, -1, 0, 661951, -863028879]$	$y^2=x^3-x^2+661951x-863028879$	4.2.0.a.1, 24.4.0-4.a.1.1	$[ ]$	$1$
11616.p1	11616w1	11616.p	11616w	$1$	$1$	$ 2^{5} \cdot 3 \cdot 11^{2} $	$ - 2^{12} \cdot 3^{18} \cdot 11^{2} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$2$	4.2.0.1	$264$	$4$	$0$	$3.073193505$	$1$		$0$	$34560$	$1.421761$	$36534162368/387420489$	$1.10253$	$4.30412$	$1$	$[0, -1, 0, 5471, 646417]$	$y^2=x^3-x^2+5471x+646417$	4.2.0.a.1, 264.4.0.?	$[(4219/5, 314928/5)]$	$1$
11616.be1	11616o1	11616.be	11616o	$1$	$1$	$ 2^{5} \cdot 3 \cdot 11^{2} $	$ - 2^{12} \cdot 3^{18} \cdot 11^{2} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$2$	4.2.0.1	$264$	$4$	$0$	$0.316166553$	$1$		$4$	$34560$	$1.421761$	$36534162368/387420489$	$1.10253$	$4.30412$	$1$	$[0, 1, 0, 5471, -646417]$	$y^2=x^3+x^2+5471x-646417$	4.2.0.a.1, 264.4.0.?	$[(71, 324)]$	$1$
11616.bf1	11616be1	11616.bf	11616be	$1$	$1$	$ 2^{5} \cdot 3 \cdot 11^{2} $	$ - 2^{12} \cdot 3^{18} \cdot 11^{8} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$2$	4.2.0.1	$24$	$4$	$0$	$1$	$1$		$0$	$380160$	$2.620708$	$36534162368/387420489$	$1.10253$	$5.84121$	$1$	$[0, 1, 0, 661951, 863028879]$	$y^2=x^3+x^2+661951x+863028879$	4.2.0.a.1, 24.4.0-4.a.1.1	$[ ]$	$1$
23232.d1	23232y1	23232.d	23232y	$1$	$1$	$ 2^{6} \cdot 3 \cdot 11^{2} $	$ - 2^{6} \cdot 3^{18} \cdot 11^{2} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$2$	4.2.0.1	$132$	$4$	$0$	$1$	$1$		$0$	$34560$	$1.075188$	$36534162368/387420489$	$1.10253$	$3.59368$	$1$	$[0, -1, 0, 1368, -81486]$	$y^2=x^3-x^2+1368x-81486$	4.2.0.a.1, 132.4.0.?	$[ ]$	$1$
23232.g1	23232w1	23232.g	23232w	$1$	$1$	$ 2^{6} \cdot 3 \cdot 11^{2} $	$ - 2^{6} \cdot 3^{18} \cdot 11^{8} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$2$	4.2.0.1	$12$	$4$	$0$	$1$	$1$		$0$	$380160$	$2.274136$	$36534162368/387420489$	$1.10253$	$5.02479$	$1$	$[0, -1, 0, 165488, 107795866]$	$y^2=x^3-x^2+165488x+107795866$	4.2.0.a.1, 12.4.0-4.a.1.1	$[ ]$	$1$
23232.cd1	23232cj1	23232.cd	23232cj	$1$	$1$	$ 2^{6} \cdot 3 \cdot 11^{2} $	$ - 2^{6} \cdot 3^{18} \cdot 11^{8} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$2$	4.2.0.1	$12$	$4$	$0$	$2.040388136$	$1$		$2$	$380160$	$2.274136$	$36534162368/387420489$	$1.10253$	$5.02479$	$1$	$[0, 1, 0, 165488, -107795866]$	$y^2=x^3+x^2+165488x-107795866$	4.2.0.a.1, 12.4.0-4.a.1.1	$[(473, 8748)]$	$1$
23232.ce1	23232ci1	23232.ce	23232ci	$1$	$1$	$ 2^{6} \cdot 3 \cdot 11^{2} $	$ - 2^{6} \cdot 3^{18} \cdot 11^{2} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$2$	4.2.0.1	$132$	$4$	$0$	$0.527029721$	$1$		$2$	$34560$	$1.075188$	$36534162368/387420489$	$1.10253$	$3.59368$	$1$	$[0, 1, 0, 1368, 81486]$	$y^2=x^3+x^2+1368x+81486$	4.2.0.a.1, 132.4.0.?	$[(45, 486)]$	$1$
34848.d1	34848cj1	34848.d	34848cj	$1$	$1$	$ 2^{5} \cdot 3^{2} \cdot 11^{2} $	$ - 2^{12} \cdot 3^{24} \cdot 11^{2} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$2$	4.2.0.1	$88$	$4$	$0$	$1$	$1$		$0$	$276480$	$1.971067$	$36534162368/387420489$	$1.10253$	$4.48226$	$1$	$[0, 0, 0, 49236, 17502496]$	$y^2=x^3+49236x+17502496$	4.2.0.a.1, 88.4.0.?	$[ ]$	$1$
34848.e1	34848ci1	34848.e	34848ci	$1$	$1$	$ 2^{5} \cdot 3^{2} \cdot 11^{2} $	$ - 2^{12} \cdot 3^{24} \cdot 11^{8} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$2$	8.4.0.2	$8$	$4$	$0$	$1$	$1$		$0$	$3041280$	$3.170013$	$36534162368/387420489$	$1.10253$	$5.85789$	$1$	$[0, 0, 0, 5957556, 23295822176]$	$y^2=x^3+5957556x+23295822176$	4.2.0.a.1, 8.4.0-4.a.1.1	$[ ]$	$1$
34848.f1	34848be1	34848.f	34848be	$1$	$1$	$ 2^{5} \cdot 3^{2} \cdot 11^{2} $	$ - 2^{12} \cdot 3^{24} \cdot 11^{2} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$2$	4.2.0.1	$88$	$4$	$0$	$3.709132893$	$1$		$2$	$276480$	$1.971067$	$36534162368/387420489$	$1.10253$	$4.48226$	$1$	$[0, 0, 0, 49236, -17502496]$	$y^2=x^3+49236x-17502496$	4.2.0.a.1, 88.4.0.?	$[(202, 828)]$	$1$
34848.g1	34848bd1	34848.g	34848bd	$1$	$1$	$ 2^{5} \cdot 3^{2} \cdot 11^{2} $	$ - 2^{12} \cdot 3^{24} \cdot 11^{8} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$2$	8.4.0.2	$8$	$4$	$0$	$4.000038189$	$1$		$2$	$3041280$	$3.170013$	$36534162368/387420489$	$1.10253$	$5.85789$	$1$	$[0, 0, 0, 5957556, -23295822176]$	$y^2=x^3+5957556x-23295822176$	4.2.0.a.1, 8.4.0-4.a.1.1	$[(2178, 3388)]$	$1$
69696.gl1	69696dc1	69696.gl	69696dc	$1$	$1$	$ 2^{6} \cdot 3^{2} \cdot 11^{2} $	$ - 2^{6} \cdot 3^{24} \cdot 11^{8} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$2$	4.4.0.3	$4$	$4$	$0$	$12.15345046$	$1$		$0$	$3041280$	$2.823441$	$36534162368/387420489$	$1.10253$	$5.12086$	$1$	$[0, 0, 0, 1489389, 2911977772]$	$y^2=x^3+1489389x+2911977772$	4.4.0-4.a.1.1	$[(-3280552/79, 21960170694/79)]$	$1$
69696.gm1	69696db1	69696.gm	69696db	$1$	$1$	$ 2^{6} \cdot 3^{2} \cdot 11^{2} $	$ - 2^{6} \cdot 3^{24} \cdot 11^{2} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$2$	4.2.0.1	$44$	$4$	$0$	$11.49995702$	$1$		$0$	$276480$	$1.624495$	$36534162368/387420489$	$1.10253$	$3.83074$	$1$	$[0, 0, 0, 12309, 2187812]$	$y^2=x^3+12309x+2187812$	4.2.0.a.1, 44.4.0-4.a.1.1	$[(269692/17, 141229548/17)]$	$1$
69696.gp1	69696cz1	69696.gp	69696cz	$1$	$1$	$ 2^{6} \cdot 3^{2} \cdot 11^{2} $	$ - 2^{6} \cdot 3^{24} \cdot 11^{8} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$2$	4.4.0.3	$4$	$4$	$0$	$66.83778410$	$1$		$0$	$3041280$	$2.823441$	$36534162368/387420489$	$1.10253$	$5.12086$	$1$	$[0, 0, 0, 1489389, -2911977772]$	$y^2=x^3+1489389x-2911977772$	4.4.0-4.a.1.1	$[(260459499826902058256128469392/7806821668591, 135834696321902562889926577080597313211306598/7806821668591)]$	$1$
69696.gq1	69696cy1	69696.gq	69696cy	$1$	$1$	$ 2^{6} \cdot 3^{2} \cdot 11^{2} $	$ - 2^{6} \cdot 3^{24} \cdot 11^{2} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$2$	4.2.0.1	$44$	$4$	$0$	$20.57001709$	$1$		$0$	$276480$	$1.624495$	$36534162368/387420489$	$1.10253$	$3.83074$	$1$	$[0, 0, 0, 12309, -2187812]$	$y^2=x^3+12309x-2187812$	4.2.0.a.1, 44.4.0-4.a.1.1	$[(2167755668/2167, 102705821552016/2167)]$	$1$
290400.bf1	290400bf1	290400.bf	290400bf	$1$	$1$	$ 2^{5} \cdot 3 \cdot 5^{2} \cdot 11^{2} $	$ - 2^{12} \cdot 3^{18} \cdot 5^{6} \cdot 11^{8} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$2$	4.2.0.1	$120$	$4$	$0$	$1$	$4$	$2$	$0$	$41057280$	$3.425426$	$36534162368/387420489$	$1.10253$	$5.11417$	$1$	$[0, -1, 0, 16548767, 107845512337]$	$y^2=x^3-x^2+16548767x+107845512337$	4.2.0.a.1, 120.4.0.?	$[ ]$	$1$
290400.cx1	290400cx1	290400.cx	290400cx	$1$	$1$	$ 2^{5} \cdot 3 \cdot 5^{2} \cdot 11^{2} $	$ - 2^{12} \cdot 3^{18} \cdot 5^{6} \cdot 11^{2} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$2$	4.2.0.1	$1320$	$4$	$0$	$15.18831694$	$1$		$0$	$3732480$	$2.226479$	$36534162368/387420489$	$1.10253$	$3.97041$	$1$	$[0, -1, 0, 136767, -81075663]$	$y^2=x^3-x^2+136767x-81075663$	4.2.0.a.1, 1320.4.0.?	$[(553051248/49, 13006117721871/49)]$	$1$
290400.eo1	290400eo1	290400.eo	290400eo	$1$	$1$	$ 2^{5} \cdot 3 \cdot 5^{2} \cdot 11^{2} $	$ - 2^{12} \cdot 3^{18} \cdot 5^{6} \cdot 11^{2} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$2$	4.2.0.1	$1320$	$4$	$0$	$0.617975450$	$1$		$6$	$3732480$	$2.226479$	$36534162368/387420489$	$1.10253$	$3.97041$	$1$	$[0, 1, 0, 136767, 81075663]$	$y^2=x^3+x^2+136767x+81075663$	4.2.0.a.1, 1320.4.0.?	$[(-33, 8748)]$	$1$
290400.gd1	290400gd1	290400.gd	290400gd	$1$	$1$	$ 2^{5} \cdot 3 \cdot 5^{2} \cdot 11^{2} $	$ - 2^{12} \cdot 3^{18} \cdot 5^{6} \cdot 11^{8} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$2$	4.2.0.1	$120$	$4$	$0$	$1$	$1$		$0$	$41057280$	$3.425426$	$36534162368/387420489$	$1.10253$	$5.11417$	$1$	$[0, 1, 0, 16548767, -107845512337]$	$y^2=x^3+x^2+16548767x-107845512337$	4.2.0.a.1, 120.4.0.?	$[ ]$	$1$

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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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