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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 (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	mod-$\ell$ 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	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators
4335.e1	4335c2	4335.e	4335c	$2$	$3$	$ 3 \cdot 5 \cdot 17^{2} $	$ 3^{4} \cdot 5^{9} \cdot 17^{10} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.4.0.1	3B	$510$	$16$	$0$	$1$	$1$		$0$	$352512$	$3.100842$	$17968412610002944/158203125$	$1.13557$	$7.85237$	$[0, -1, 1, -68932665, -220260749857]$	$y^2+y=x^3-x^2-68932665x-220260749857$	3.4.0.a.1, 10.2.0.a.1, 30.8.0.a.1, 51.8.0-3.a.1.1, 510.16.0.?	$[ ]$
4335.f1	4335e2	4335.f	4335e	$2$	$3$	$ 3 \cdot 5 \cdot 17^{2} $	$ 3^{4} \cdot 5^{9} \cdot 17^{4} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.8.0.2	3B.1.2	$30$	$16$	$0$	$4.052307060$	$1$		$0$	$20736$	$1.684235$	$17968412610002944/158203125$	$1.13557$	$5.82248$	$[0, 1, 1, -238521, -44916415]$	$y^2+y=x^3+x^2-238521x-44916415$	3.8.0-3.a.1.1, 10.2.0.a.1, 30.16.0-30.a.1.1	$[(-1131/2, 101/2)]$
13005.g1	13005g2	13005.g	13005g	$2$	$3$	$ 3^{2} \cdot 5 \cdot 17^{2} $	$ 3^{10} \cdot 5^{9} \cdot 17^{10} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.4.0.1	3B	$510$	$16$	$0$	$1$	$1$		$0$	$2820096$	$3.650146$	$17968412610002944/158203125$	$1.13557$	$7.63755$	$[0, 0, 1, -620393988, 5947660640119]$	$y^2+y=x^3-620393988x+5947660640119$	3.4.0.a.1, 10.2.0.a.1, 30.8.0.a.1, 51.8.0-3.a.1.2, 510.16.0.?	$[ ]$
13005.l1	13005o2	13005.l	13005o	$2$	$3$	$ 3^{2} \cdot 5 \cdot 17^{2} $	$ 3^{10} \cdot 5^{9} \cdot 17^{4} $	$0$	$\Z/3\Z$	$\Q$	$\mathrm{SU}(2)$	$3$	3.8.0.1	3B.1.1	$30$	$16$	$0$	$1$	$1$		$2$	$165888$	$2.233540$	$17968412610002944/158203125$	$1.13557$	$5.84307$	$[0, 0, 1, -2146692, 1210596507]$	$y^2+y=x^3-2146692x+1210596507$	3.8.0-3.a.1.2, 10.2.0.a.1, 30.16.0-30.a.1.4	$[ ]$
21675.j1	21675j2	21675.j	21675j	$2$	$3$	$ 3 \cdot 5^{2} \cdot 17^{2} $	$ 3^{4} \cdot 5^{15} \cdot 17^{4} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.4.0.1	3B	$30$	$16$	$0$	$1$	$1$		$0$	$497664$	$2.488953$	$17968412610002944/158203125$	$1.13557$	$5.85110$	$[0, -1, 1, -5963033, -5602625782]$	$y^2+y=x^3-x^2-5963033x-5602625782$	3.4.0.a.1, 6.8.0-3.a.1.2, 10.2.0.a.1, 15.8.0-3.a.1.1, 30.16.0-30.a.1.2	$[ ]$
21675.p1	21675o2	21675.p	21675o	$2$	$3$	$ 3 \cdot 5^{2} \cdot 17^{2} $	$ 3^{4} \cdot 5^{15} \cdot 17^{10} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.4.0.1	3B	$510$	$16$	$0$	$1$	$9$	$3$	$0$	$8460288$	$3.905560$	$17968412610002944/158203125$	$1.13557$	$7.55377$	$[0, 1, 1, -1723316633, -27536040365356]$	$y^2+y=x^3+x^2-1723316633x-27536040365356$	3.4.0.a.1, 10.2.0.a.1, 30.8.0.a.1, 102.8.0.?, 255.8.0.?, $\ldots$	$[ ]$
65025.be1	65025bx2	65025.be	65025bx	$2$	$3$	$ 3^{2} \cdot 5^{2} \cdot 17^{2} $	$ 3^{10} \cdot 5^{15} \cdot 17^{4} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.4.0.1	3B	$30$	$16$	$0$	$4.249897828$	$1$		$0$	$3981312$	$3.038258$	$17968412610002944/158203125$	$1.13557$	$5.86586$	$[0, 0, 1, -53667300, 151324563406]$	$y^2+y=x^3-53667300x+151324563406$	3.4.0.a.1, 6.8.0-3.a.1.1, 10.2.0.a.1, 15.8.0-3.a.1.2, 30.16.0-30.a.1.3	$[(-19535/2, 4359371/2)]$
65025.bm1	65025bg2	65025.bm	65025bg	$2$	$3$	$ 3^{2} \cdot 5^{2} \cdot 17^{2} $	$ 3^{10} \cdot 5^{15} \cdot 17^{10} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.4.0.1	3B	$510$	$16$	$0$	$1$	$9$	$3$	$0$	$67682304$	$4.454865$	$17968412610002944/158203125$	$1.13557$	$7.39974$	$[0, 0, 1, -15509849700, 743457580014906]$	$y^2+y=x^3-15509849700x+743457580014906$	3.4.0.a.1, 10.2.0.a.1, 30.8.0.a.1, 102.8.0.?, 255.8.0.?, $\ldots$	$[ ]$
69360.i1	69360cl2	69360.i	69360cl	$2$	$3$	$ 2^{4} \cdot 3 \cdot 5 \cdot 17^{2} $	$ 2^{12} \cdot 3^{4} \cdot 5^{9} \cdot 17^{4} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.4.0.1	3B	$60$	$16$	$0$	$5.522509981$	$1$		$0$	$1492992$	$2.377380$	$17968412610002944/158203125$	$1.13557$	$5.12045$	$[0, -1, 0, -3816341, 2870834205]$	$y^2=x^3-x^2-3816341x+2870834205$	3.4.0.a.1, 10.2.0.a.1, 12.8.0-3.a.1.2, 30.8.0.a.1, 60.16.0-30.a.1.4	$[(4445/2, 7785/2)]$
69360.ds1	69360ds2	69360.ds	69360ds	$2$	$3$	$ 2^{4} \cdot 3 \cdot 5 \cdot 17^{2} $	$ 2^{12} \cdot 3^{4} \cdot 5^{9} \cdot 17^{10} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.4.0.1	3B	$1020$	$16$	$0$	$1$	$1$		$0$	$25380864$	$3.793987$	$17968412610002944/158203125$	$1.13557$	$6.64545$	$[0, 1, 0, -1102922645, 14097790913475]$	$y^2=x^3+x^2-1102922645x+14097790913475$	3.4.0.a.1, 10.2.0.a.1, 30.8.0.a.1, 204.8.0.?, 1020.16.0.?	$[ ]$
208080.da1	208080cu2	208080.da	208080cu	$2$	$3$	$ 2^{4} \cdot 3^{2} \cdot 5 \cdot 17^{2} $	$ 2^{12} \cdot 3^{10} \cdot 5^{9} \cdot 17^{10} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.4.0.1	3B	$1020$	$16$	$0$	$245.6066084$	$1$		$0$	$203046912$	$4.343292$	$17968412610002944/158203125$	$1.13557$	$6.58755$	$[0, 0, 0, -9926303808, -380650280967632]$	$y^2=x^3-9926303808x-380650280967632$	3.4.0.a.1, 10.2.0.a.1, 30.8.0.a.1, 204.8.0.?, 1020.16.0.?	$[(-1195806370194318810793094000805550037303968384773368627332841243702005258978200124730406892888014946311481087/4557557774205780915318324463864946913714056045869657, 4729137780038763182732232791722849236753382867345097930594331648808278481810571925974202038311089011956824526202822601569547559989889999519217217483983853767385/4557557774205780915318324463864946913714056045869657)]$
208080.em1	208080i2	208080.em	208080i	$2$	$3$	$ 2^{4} \cdot 3^{2} \cdot 5 \cdot 17^{2} $	$ 2^{12} \cdot 3^{10} \cdot 5^{9} \cdot 17^{4} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.4.0.1	3B	$60$	$16$	$0$	$1.556550415$	$1$		$2$	$11943936$	$2.926685$	$17968412610002944/158203125$	$1.13557$	$5.19936$	$[0, 0, 0, -34347072, -77478176464]$	$y^2=x^3-34347072x-77478176464$	3.4.0.a.1, 10.2.0.a.1, 12.8.0-3.a.1.1, 30.8.0.a.1, 60.16.0-30.a.1.1	$[(-3383, 765)]$
212415.bi1	212415bm2	212415.bi	212415bm	$2$	$3$	$ 3 \cdot 5 \cdot 7^{2} \cdot 17^{2} $	$ 3^{4} \cdot 5^{9} \cdot 7^{6} \cdot 17^{4} $	$2$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.4.0.1	3B	$210$	$16$	$0$	$0.400544181$	$1$		$18$	$7464960$	$2.657188$	$17968412610002944/158203125$	$1.13557$	$4.92697$	$[0, -1, 1, -11687545, 15382955181]$	$y^2+y=x^3-x^2-11687545x+15382955181$	3.4.0.a.1, 10.2.0.a.1, 21.8.0-3.a.1.2, 30.8.0.a.1, 210.16.0.?	$[(1315, 47812), (9085/2, 187421/2)]$
212415.bo1	212415bh2	212415.bo	212415bh	$2$	$3$	$ 3 \cdot 5 \cdot 7^{2} \cdot 17^{2} $	$ 3^{4} \cdot 5^{9} \cdot 7^{6} \cdot 17^{10} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.4.0.1	3B	$3570$	$16$	$0$	$16.56735005$	$1$		$0$	$126904320$	$4.073799$	$17968412610002944/158203125$	$1.13557$	$6.31282$	$[0, 1, 1, -3377700601, 75556192602055]$	$y^2+y=x^3+x^2-3377700601x+75556192602055$	3.4.0.a.1, 10.2.0.a.1, 30.8.0.a.1, 357.8.0.?, 3570.16.0.?	$[(748319989/150, 305349550237/150)]$
277440.bw1	277440bw2	277440.bw	277440bw	$2$	$3$	$ 2^{6} \cdot 3 \cdot 5 \cdot 17^{2} $	$ 2^{6} \cdot 3^{4} \cdot 5^{9} \cdot 17^{10} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.4.0.1	3B	$2040$	$16$	$0$	$1$	$16$	$2$	$0$	$50761728$	$3.447414$	$17968412610002944/158203125$	$1.13557$	$5.57858$	$[0, -1, 0, -275730661, 1762361729515]$	$y^2=x^3-x^2-275730661x+1762361729515$	3.4.0.a.1, 10.2.0.a.1, 30.8.0.a.1, 408.8.0.?, 2040.16.0.?	$[ ]$
277440.eh1	277440eh2	277440.eh	277440eh	$2$	$3$	$ 2^{6} \cdot 3 \cdot 5 \cdot 17^{2} $	$ 2^{6} \cdot 3^{4} \cdot 5^{9} \cdot 17^{4} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.4.0.1	3B	$120$	$16$	$0$	$3.413392004$	$1$		$2$	$2985984$	$2.030807$	$17968412610002944/158203125$	$1.13557$	$4.22226$	$[0, -1, 0, -954085, -358377233]$	$y^2=x^3-x^2-954085x-358377233$	3.4.0.a.1, 10.2.0.a.1, 24.8.0-3.a.1.1, 30.8.0.a.1, 120.16.0.?	$[(1714, 55125)]$
277440.fj1	277440fj2	277440.fj	277440fj	$2$	$3$	$ 2^{6} \cdot 3 \cdot 5 \cdot 17^{2} $	$ 2^{6} \cdot 3^{4} \cdot 5^{9} \cdot 17^{10} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.4.0.1	3B	$2040$	$16$	$0$	$1$	$9$	$3$	$0$	$50761728$	$3.447414$	$17968412610002944/158203125$	$1.13557$	$5.57858$	$[0, 1, 0, -275730661, -1762361729515]$	$y^2=x^3+x^2-275730661x-1762361729515$	3.4.0.a.1, 10.2.0.a.1, 30.8.0.a.1, 408.8.0.?, 2040.16.0.?	$[ ]$
277440.ht1	277440ht2	277440.ht	277440ht	$2$	$3$	$ 2^{6} \cdot 3 \cdot 5 \cdot 17^{2} $	$ 2^{6} \cdot 3^{4} \cdot 5^{9} \cdot 17^{4} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.4.0.1	3B	$120$	$16$	$0$	$0.627447554$	$1$		$4$	$2985984$	$2.030807$	$17968412610002944/158203125$	$1.13557$	$4.22226$	$[0, 1, 0, -954085, 358377233]$	$y^2=x^3+x^2-954085x+358377233$	3.4.0.a.1, 10.2.0.a.1, 24.8.0-3.a.1.3, 30.8.0.a.1, 120.16.0.?	$[(536, 1125)]$
346800.bl1	346800bl2	346800.bl	346800bl	$2$	$3$	$ 2^{4} \cdot 3 \cdot 5^{2} \cdot 17^{2} $	$ 2^{12} \cdot 3^{4} \cdot 5^{15} \cdot 17^{10} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.4.0.1	3B	$1020$	$16$	$0$	$1$	$1$		$0$	$609140736$	$4.598709$	$17968412610002944/158203125$	$1.13557$	$6.56402$	$[0, -1, 0, -27573066133, 1762279010316637]$	$y^2=x^3-x^2-27573066133x+1762279010316637$	3.4.0.a.1, 10.2.0.a.1, 30.8.0.a.1, 204.8.0.?, 1020.16.0.?	$[ ]$
346800.ki1	346800ki2	346800.ki	346800ki	$2$	$3$	$ 2^{4} \cdot 3 \cdot 5^{2} \cdot 17^{2} $	$ 2^{12} \cdot 3^{4} \cdot 5^{15} \cdot 17^{4} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.4.0.1	3B	$60$	$16$	$0$	$1$	$1$		$0$	$35831808$	$3.182098$	$17968412610002944/158203125$	$1.13557$	$5.23142$	$[0, 1, 0, -95408533, 358663458563]$	$y^2=x^3+x^2-95408533x+358663458563$	3.4.0.a.1, 10.2.0.a.1, 12.8.0-3.a.1.4, 30.8.0.a.1, 60.16.0-30.a.1.3	$[ ]$

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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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