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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 (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
15288.b1	15288z1	15288.b	15288z	$1$	$1$	$ 2^{3} \cdot 3 \cdot 7^{2} \cdot 13 $	$ - 2^{11} \cdot 3^{11} \cdot 7^{3} \cdot 13^{3} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$2184$	$2$	$0$	$1$	$1$		$0$	$76032$	$1.517714$	$-5020930768142/389191959$	$0.98259$	$4.44561$	$[0, -1, 0, -31712, -2304084]$	$y^2=x^3-x^2-31712x-2304084$	2184.2.0.?	$[ ]$
15288.be1	15288bf1	15288.be	15288bf	$1$	$1$	$ 2^{3} \cdot 3 \cdot 7^{2} \cdot 13 $	$ - 2^{11} \cdot 3^{11} \cdot 7^{9} \cdot 13^{3} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$2184$	$2$	$0$	$1$	$1$		$0$	$532224$	$2.490669$	$-5020930768142/389191959$	$0.98259$	$5.65741$	$[0, 1, 0, -1553904, 793408608]$	$y^2=x^3+x^2-1553904x+793408608$	2184.2.0.?	$[ ]$
30576.bm1	30576g1	30576.bm	30576g	$1$	$1$	$ 2^{4} \cdot 3 \cdot 7^{2} \cdot 13 $	$ - 2^{11} \cdot 3^{11} \cdot 7^{9} \cdot 13^{3} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$2184$	$2$	$0$	$1$	$4$	$2$	$0$	$1064448$	$2.490669$	$-5020930768142/389191959$	$0.98259$	$5.27772$	$[0, -1, 0, -1553904, -793408608]$	$y^2=x^3-x^2-1553904x-793408608$	2184.2.0.?	$[ ]$
30576.bx1	30576bf1	30576.bx	30576bf	$1$	$1$	$ 2^{4} \cdot 3 \cdot 7^{2} \cdot 13 $	$ - 2^{11} \cdot 3^{11} \cdot 7^{3} \cdot 13^{3} $	$2$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$2184$	$2$	$0$	$0.058754044$	$1$		$44$	$152064$	$1.517714$	$-5020930768142/389191959$	$0.98259$	$4.14725$	$[0, 1, 0, -31712, 2304084]$	$y^2=x^3+x^2-31712x+2304084$	2184.2.0.?	$[(118, 468), (100, 378)]$
45864.e1	45864p1	45864.e	45864p	$1$	$1$	$ 2^{3} \cdot 3^{2} \cdot 7^{2} \cdot 13 $	$ - 2^{11} \cdot 3^{17} \cdot 7^{9} \cdot 13^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$2184$	$2$	$0$	$9.968668971$	$1$		$0$	$4257792$	$3.039974$	$-5020930768142/389191959$	$0.98259$	$5.69248$	$[0, 0, 0, -13985139, -21436017554]$	$y^2=x^3-13985139x-21436017554$	2184.2.0.?	$[(16184210/61, 933175404/61)]$
45864.bv1	45864v1	45864.bv	45864v	$1$	$1$	$ 2^{3} \cdot 3^{2} \cdot 7^{2} \cdot 13 $	$ - 2^{11} \cdot 3^{17} \cdot 7^{3} \cdot 13^{3} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$2184$	$2$	$0$	$1$	$1$		$0$	$608256$	$2.067020$	$-5020930768142/389191959$	$0.98259$	$4.60471$	$[0, 0, 0, -285411, 62495678]$	$y^2=x^3-285411x+62495678$	2184.2.0.?	$[ ]$
91728.x1	91728bd1	91728.x	91728bd	$1$	$1$	$ 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 13 $	$ - 2^{11} \cdot 3^{17} \cdot 7^{9} \cdot 13^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$2184$	$2$	$0$	$5.655228106$	$1$		$0$	$8515584$	$3.039974$	$-5020930768142/389191959$	$0.98259$	$5.34716$	$[0, 0, 0, -13985139, 21436017554]$	$y^2=x^3-13985139x+21436017554$	2184.2.0.?	$[(15337/2, 1244061/2)]$
91728.fx1	91728bu1	91728.fx	91728bu	$1$	$1$	$ 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 13 $	$ - 2^{11} \cdot 3^{17} \cdot 7^{3} \cdot 13^{3} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$2184$	$2$	$0$	$1$	$1$		$0$	$1216512$	$2.067020$	$-5020930768142/389191959$	$0.98259$	$4.32538$	$[0, 0, 0, -285411, -62495678]$	$y^2=x^3-285411x-62495678$	2184.2.0.?	$[ ]$
122304.j1	122304ch1	122304.j	122304ch	$1$	$1$	$ 2^{6} \cdot 3 \cdot 7^{2} \cdot 13 $	$ - 2^{17} \cdot 3^{11} \cdot 7^{9} \cdot 13^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$2184$	$2$	$0$	$1.273259442$	$1$		$4$	$8515584$	$2.837242$	$-5020930768142/389191959$	$0.98259$	$5.00817$	$[0, -1, 0, -6215617, 6353484481]$	$y^2=x^3-x^2-6215617x+6353484481$	2184.2.0.?	$[(2385, 71344)]$
122304.ea1	122304fp1	122304.ea	122304fp	$1$	$1$	$ 2^{6} \cdot 3 \cdot 7^{2} \cdot 13 $	$ - 2^{17} \cdot 3^{11} \cdot 7^{3} \cdot 13^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$2184$	$2$	$0$	$4.829498748$	$1$		$2$	$1216512$	$1.864288$	$-5020930768142/389191959$	$0.98259$	$4.01148$	$[0, -1, 0, -126849, 18559521]$	$y^2=x^3-x^2-126849x+18559521$	2184.2.0.?	$[(635, 13916)]$
122304.ex1	122304ir1	122304.ex	122304ir	$1$	$1$	$ 2^{6} \cdot 3 \cdot 7^{2} \cdot 13 $	$ - 2^{17} \cdot 3^{11} \cdot 7^{9} \cdot 13^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$2184$	$2$	$0$	$1.267109255$	$1$		$2$	$8515584$	$2.837242$	$-5020930768142/389191959$	$0.98259$	$5.00817$	$[0, 1, 0, -6215617, -6353484481]$	$y^2=x^3+x^2-6215617x-6353484481$	2184.2.0.?	$[(6533, 481572)]$
122304.ih1	122304dq1	122304.ih	122304dq	$1$	$1$	$ 2^{6} \cdot 3 \cdot 7^{2} \cdot 13 $	$ - 2^{17} \cdot 3^{11} \cdot 7^{3} \cdot 13^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$2184$	$2$	$0$	$0.962671039$	$1$		$4$	$1216512$	$1.864288$	$-5020930768142/389191959$	$0.98259$	$4.01148$	$[0, 1, 0, -126849, -18559521]$	$y^2=x^3+x^2-126849x-18559521$	2184.2.0.?	$[(555, 9072)]$
198744.bn1	198744dx1	198744.bn	198744dx	$1$	$1$	$ 2^{3} \cdot 3 \cdot 7^{2} \cdot 13^{2} $	$ - 2^{11} \cdot 3^{11} \cdot 7^{3} \cdot 13^{9} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$2184$	$2$	$0$	$1$	$1$		$0$	$12773376$	$2.800190$	$-5020930768142/389191959$	$0.98259$	$4.77242$	$[0, -1, 0, -5359384, -5083510004]$	$y^2=x^3-x^2-5359384x-5083510004$	2184.2.0.?	$[ ]$
198744.bz1	198744cg1	198744.bz	198744cg	$1$	$1$	$ 2^{3} \cdot 3 \cdot 7^{2} \cdot 13^{2} $	$ - 2^{11} \cdot 3^{11} \cdot 7^{9} \cdot 13^{9} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$2184$	$2$	$0$	$3.012751698$	$1$		$0$	$89413632$	$3.773144$	$-5020930768142/389191959$	$0.98259$	$5.72944$	$[0, 1, 0, -262609832, 1744169151024]$	$y^2=x^3+x^2-262609832x+1744169151024$	2184.2.0.?	$[(-49475/2, 14085981/2)]$
366912.bd1	366912bd1	366912.bd	366912bd	$1$	$1$	$ 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 13 $	$ - 2^{17} \cdot 3^{17} \cdot 7^{3} \cdot 13^{3} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$2184$	$2$	$0$	$1$	$1$		$0$	$9732096$	$2.413593$	$-5020930768142/389191959$	$0.98259$	$4.18198$	$[0, 0, 0, -1141644, -499965424]$	$y^2=x^3-1141644x-499965424$	2184.2.0.?	$[ ]$
366912.ce1	366912ce1	366912.ce	366912ce	$1$	$1$	$ 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 13 $	$ - 2^{17} \cdot 3^{17} \cdot 7^{3} \cdot 13^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$2184$	$2$	$0$	$1.716430964$	$1$		$2$	$9732096$	$2.413593$	$-5020930768142/389191959$	$0.98259$	$4.18198$	$[0, 0, 0, -1141644, 499965424]$	$y^2=x^3-1141644x+499965424$	2184.2.0.?	$[(1736, 61236)]$
366912.om1	366912om1	366912.om	366912om	$1$	$1$	$ 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 13 $	$ - 2^{17} \cdot 3^{17} \cdot 7^{9} \cdot 13^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$2184$	$2$	$0$	$1.258421774$	$1$		$4$	$68124672$	$3.386547$	$-5020930768142/389191959$	$0.98259$	$5.09321$	$[0, 0, 0, -55940556, 171488140432]$	$y^2=x^3-55940556x+171488140432$	2184.2.0.?	$[(7778, 454896)]$
366912.pp1	366912pp1	366912.pp	366912pp	$1$	$1$	$ 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 13 $	$ - 2^{17} \cdot 3^{17} \cdot 7^{9} \cdot 13^{3} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$2184$	$2$	$0$	$1$	$1$		$0$	$68124672$	$3.386547$	$-5020930768142/389191959$	$0.98259$	$5.09321$	$[0, 0, 0, -55940556, -171488140432]$	$y^2=x^3-55940556x-171488140432$	2184.2.0.?	$[ ]$
382200.eb1	382200eb1	382200.eb	382200eb	$1$	$1$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 13 $	$ - 2^{11} \cdot 3^{11} \cdot 5^{6} \cdot 7^{9} \cdot 13^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$2184$	$2$	$0$	$8.707959095$	$1$		$0$	$57480192$	$3.295387$	$-5020930768142/389191959$	$0.98259$	$4.99193$	$[0, -1, 0, -38847608, 99253771212]$	$y^2=x^3-x^2-38847608x+99253771212$	2184.2.0.?	$[(20989/10, 301843087/10)]$
382200.im1	382200im1	382200.im	382200im	$1$	$1$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 13 $	$ - 2^{11} \cdot 3^{11} \cdot 5^{6} \cdot 7^{3} \cdot 13^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$2184$	$2$	$0$	$6.758966180$	$1$		$0$	$8211456$	$2.322433$	$-5020930768142/389191959$	$0.98259$	$4.08360$	$[0, 1, 0, -792808, -289596112]$	$y^2=x^3+x^2-792808x-289596112$	2184.2.0.?	$[(43541/2, 9054423/2)]$
397488.q1	397488q1	397488.q	397488q	$1$	$1$	$ 2^{4} \cdot 3 \cdot 7^{2} \cdot 13^{2} $	$ - 2^{11} \cdot 3^{11} \cdot 7^{9} \cdot 13^{9} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$2184$	$2$	$0$	$1$	$1$		$0$	$178827264$	$3.773144$	$-5020930768142/389191959$	$0.98259$	$5.42141$	$[0, -1, 0, -262609832, -1744169151024]$	$y^2=x^3-x^2-262609832x-1744169151024$	2184.2.0.?	$[ ]$
397488.jr1	397488jr1	397488.jr	397488jr	$1$	$1$	$ 2^{4} \cdot 3 \cdot 7^{2} \cdot 13^{2} $	$ - 2^{11} \cdot 3^{11} \cdot 7^{3} \cdot 13^{9} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$2184$	$2$	$0$	$0.518465885$	$1$		$4$	$25546752$	$2.800190$	$-5020930768142/389191959$	$0.98259$	$4.51584$	$[0, 1, 0, -5359384, 5083510004]$	$y^2=x^3+x^2-5359384x+5083510004$	2184.2.0.?	$[(4580, 276822)]$

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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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