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

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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
162.a1	162a1	162.a	162a	$2$	$3$	$ 2 \cdot 3^{4} $	$ - 2^{2} \cdot 3^{6} $	$1$	$\Z/3\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	4.8.0.2, 3.8.0.1	3B.1.1	$12$	$128$	$1$	$0.305934883$	$1$		$14$	$12$	$-0.597807$	$-35937/4$	$1.00607$	$3.39200$	$[1, -1, 0, -6, 8]$	$y^2+xy=x^3-x^2-6x+8$	3.8.0-3.a.1.2, 4.8.0.b.1, 12.128.1-12.b.2.3	$[(4, 4)]$
162.d1	162d2	162.d	162d	$2$	$3$	$ 2 \cdot 3^{4} $	$ - 2^{2} \cdot 3^{12} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	4.16.0.2, 3.8.0.2	3B.1.2	$12$	$128$	$1$	$1$	$1$		$0$	$36$	$-0.048500$	$-35937/4$	$1.00607$	$4.68763$	$[1, -1, 1, -56, -161]$	$y^2+xy+y=x^3-x^2-56x-161$	3.8.0-3.a.1.1, 4.16.0-4.b.1.1, 12.128.1-12.b.2.4	$[]$
1296.c1	1296j1	1296.c	1296j	$2$	$3$	$ 2^{4} \cdot 3^{4} $	$ - 2^{14} \cdot 3^{6} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	4.8.0.2, 3.4.0.1	3B	$12$	$128$	$1$	$1$	$1$		$0$	$288$	$0.095341$	$-35937/4$	$1.00607$	$3.56840$	$[0, 0, 0, -99, -414]$	$y^2=x^3-99x-414$	3.4.0.a.1, 4.8.0.b.1, 6.8.0-3.a.1.1, 12.128.1-12.b.2.1	$[]$
1296.l1	1296h2	1296.l	1296h	$2$	$3$	$ 2^{4} \cdot 3^{4} $	$ - 2^{14} \cdot 3^{12} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	4.16.0.2, 3.4.0.1	3B	$12$	$128$	$1$	$1$	$1$		$0$	$864$	$0.644647$	$-35937/4$	$1.00607$	$4.48812$	$[0, 0, 0, -891, 11178]$	$y^2=x^3-891x+11178$	3.4.0.a.1, 4.16.0-4.b.1.1, 6.8.0-3.a.1.2, 12.128.1-12.b.2.2	$[]$
4050.r1	4050g2	4050.r	4050g	$2$	$3$	$ 2 \cdot 3^{4} \cdot 5^{2} $	$ - 2^{2} \cdot 3^{12} \cdot 5^{6} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	4.8.0.2, 3.4.0.1	3B	$60$	$128$	$1$	$3.926134397$	$1$		$2$	$3888$	$0.756219$	$-35937/4$	$1.00607$	$4.03365$	$[1, -1, 0, -1392, -21484]$	$y^2+xy=x^3-x^2-1392x-21484$	3.4.0.a.1, 4.8.0.b.1, 12.64.1.b.2, 15.8.0-3.a.1.1, 20.16.0-4.b.1.1, $\ldots$	$[(50, 154)]$
4050.bh1	4050v1	4050.bh	4050v	$2$	$3$	$ 2 \cdot 3^{4} \cdot 5^{2} $	$ - 2^{2} \cdot 3^{6} \cdot 5^{6} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	4.8.0.2, 3.4.0.1	3B	$60$	$128$	$1$	$1$	$1$		$0$	$1296$	$0.206913$	$-35937/4$	$1.00607$	$3.24009$	$[1, -1, 1, -155, 847]$	$y^2+xy+y=x^3-x^2-155x+847$	3.4.0.a.1, 4.8.0.b.1, 12.64.1.b.2, 15.8.0-3.a.1.2, 60.128.1-12.b.2.1	$[]$
5184.c1	5184m2	5184.c	5184m	$2$	$3$	$ 2^{6} \cdot 3^{4} $	$ - 2^{20} \cdot 3^{12} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	8.16.0.3, 3.4.0.1	3B	$24$	$128$	$1$	$2.229461342$	$1$		$4$	$6912$	$0.991220$	$-35937/4$	$1.00607$	$4.24693$	$[0, 0, 0, -3564, -89424]$	$y^2=x^3-3564x-89424$	3.4.0.a.1, 4.8.0.b.1, 8.16.0-4.b.1.1, 12.64.1.b.2, 24.128.1-12.b.2.2	$[(70, 64)]$
5184.h1	5184bc2	5184.h	5184bc	$2$	$3$	$ 2^{6} \cdot 3^{4} $	$ - 2^{20} \cdot 3^{12} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	8.16.0.3, 3.4.0.1	3B	$24$	$128$	$1$	$1$	$1$		$0$	$6912$	$0.991220$	$-35937/4$	$1.00607$	$4.24693$	$[0, 0, 0, -3564, 89424]$	$y^2=x^3-3564x+89424$	3.4.0.a.1, 4.8.0.b.1, 8.16.0-4.b.1.1, 12.64.1.b.2, 24.128.1-12.b.2.4	$[]$
5184.y1	5184j1	5184.y	5184j	$2$	$3$	$ 2^{6} \cdot 3^{4} $	$ - 2^{20} \cdot 3^{6} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	4.8.0.2, 3.4.0.1	3B	$24$	$128$	$1$	$0.670613516$	$1$		$4$	$2304$	$0.441914$	$-35937/4$	$1.00607$	$3.47628$	$[0, 0, 0, -396, 3312]$	$y^2=x^3-396x+3312$	3.4.0.a.1, 4.8.0.b.1, 12.64.1.b.2, 24.128.1-12.b.2.1	$[(-2, 64)]$
5184.bd1	5184z1	5184.bd	5184z	$2$	$3$	$ 2^{6} \cdot 3^{4} $	$ - 2^{20} \cdot 3^{6} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	4.8.0.2, 3.4.0.1	3B	$24$	$128$	$1$	$1$	$1$		$0$	$2304$	$0.441914$	$-35937/4$	$1.00607$	$3.47628$	$[0, 0, 0, -396, -3312]$	$y^2=x^3-396x-3312$	3.4.0.a.1, 4.8.0.b.1, 12.64.1.b.2, 24.128.1-12.b.2.3	$[]$
7938.n1	7938g1	7938.n	7938g	$2$	$3$	$ 2 \cdot 3^{4} \cdot 7^{2} $	$ - 2^{2} \cdot 3^{6} \cdot 7^{6} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	4.8.0.2, 3.4.0.1	3B	$84$	$128$	$1$	$1$	$1$		$0$	$3456$	$0.375149$	$-35937/4$	$1.00607$	$3.22210$	$[1, -1, 0, -303, -2143]$	$y^2+xy=x^3-x^2-303x-2143$	3.4.0.a.1, 4.8.0.b.1, 12.64.1.b.2, 21.8.0-3.a.1.1, 84.128.1.?	$[]$
7938.s1	7938ba2	7938.s	7938ba	$2$	$3$	$ 2 \cdot 3^{4} \cdot 7^{2} $	$ - 2^{2} \cdot 3^{12} \cdot 7^{6} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	4.8.0.2, 3.4.0.1	3B	$84$	$128$	$1$	$1.373693536$	$1$		$2$	$10368$	$0.924455$	$-35937/4$	$1.00607$	$3.95619$	$[1, -1, 1, -2729, 60589]$	$y^2+xy+y=x^3-x^2-2729x+60589$	3.4.0.a.1, 4.8.0.b.1, 12.64.1.b.2, 21.8.0-3.a.1.2, 28.16.0-4.b.1.1, $\ldots$	$[(23, 86)]$
19602.p1	19602l2	19602.p	19602l	$2$	$3$	$ 2 \cdot 3^{4} \cdot 11^{2} $	$ - 2^{2} \cdot 3^{12} \cdot 11^{6} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	4.8.0.2, 3.4.0.1	3B	$132$	$128$	$1$	$1$	$1$		$0$	$51840$	$1.150448$	$-35937/4$	$1.00607$	$3.86873$	$[1, -1, 0, -6738, 234152]$	$y^2+xy=x^3-x^2-6738x+234152$	3.4.0.a.1, 4.8.0.b.1, 12.64.1.b.2, 33.8.0-3.a.1.1, 44.16.0-4.b.1.1, $\ldots$	$[]$
19602.s1	19602bd1	19602.s	19602bd	$2$	$3$	$ 2 \cdot 3^{4} \cdot 11^{2} $	$ - 2^{2} \cdot 3^{6} \cdot 11^{6} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	4.8.0.2, 3.4.0.1	3B	$132$	$128$	$1$	$1.396223025$	$1$		$2$	$17280$	$0.601141$	$-35937/4$	$1.00607$	$3.20179$	$[1, -1, 1, -749, -8423]$	$y^2+xy+y=x^3-x^2-749x-8423$	3.4.0.a.1, 4.8.0.b.1, 12.64.1.b.2, 33.8.0-3.a.1.2, 132.128.1.?	$[(47, 218)]$
27378.c1	27378i2	27378.c	27378i	$2$	$3$	$ 2 \cdot 3^{4} \cdot 13^{2} $	$ - 2^{2} \cdot 3^{12} \cdot 13^{6} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	4.8.0.2, 3.4.0.1	3B	$156$	$128$	$1$	$8.048748571$	$1$		$0$	$84240$	$1.233974$	$-35937/4$	$1.00607$	$3.84032$	$[1, -1, 0, -9411, -381367]$	$y^2+xy=x^3-x^2-9411x-381367$	3.4.0.a.1, 4.8.0.b.1, 12.64.1.b.2, 39.8.0-3.a.1.2, 52.16.0-4.b.1.1, $\ldots$	$[(3916/3, 232213/3)]$
27378.v1	27378p1	27378.v	27378p	$2$	$3$	$ 2 \cdot 3^{4} \cdot 13^{2} $	$ - 2^{2} \cdot 3^{6} \cdot 13^{6} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	4.8.0.2, 3.4.0.1	3B	$156$	$128$	$1$	$1$	$1$		$0$	$28080$	$0.684669$	$-35937/4$	$1.00607$	$3.19519$	$[1, -1, 1, -1046, 14473]$	$y^2+xy+y=x^3-x^2-1046x+14473$	3.4.0.a.1, 4.8.0.b.1, 12.64.1.b.2, 39.8.0-3.a.1.1, 156.128.1.?	$[]$
32400.f1	32400bz2	32400.f	32400bz	$2$	$3$	$ 2^{4} \cdot 3^{4} \cdot 5^{2} $	$ - 2^{14} \cdot 3^{12} \cdot 5^{6} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	4.8.0.2, 3.4.0.1	3B	$60$	$128$	$1$	$1$	$1$		$0$	$93312$	$1.449366$	$-35937/4$	$1.00607$	$4.02691$	$[0, 0, 0, -22275, 1397250]$	$y^2=x^3-22275x+1397250$	3.4.0.a.1, 4.8.0.b.1, 12.64.1.b.2, 20.16.0-4.b.1.1, 30.8.0-3.a.1.2, $\ldots$	$[]$
32400.g1	32400by1	32400.g	32400by	$2$	$3$	$ 2^{4} \cdot 3^{4} \cdot 5^{2} $	$ - 2^{14} \cdot 3^{6} \cdot 5^{6} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	4.8.0.2, 3.4.0.1	3B	$60$	$128$	$1$	$1$	$1$		$0$	$31104$	$0.900060$	$-35937/4$	$1.00607$	$3.39224$	$[0, 0, 0, -2475, -51750]$	$y^2=x^3-2475x-51750$	3.4.0.a.1, 4.8.0.b.1, 12.64.1.b.2, 30.8.0-3.a.1.1, 60.128.1-12.b.2.2	$[]$
46818.e1	46818c1	46818.e	46818c	$2$	$3$	$ 2 \cdot 3^{4} \cdot 17^{2} $	$ - 2^{2} \cdot 3^{6} \cdot 17^{6} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	4.8.0.2, 3.4.0.1	3B	$204$	$128$	$1$	$3.059218834$	$1$		$2$	$60480$	$0.818800$	$-35937/4$	$1.00607$	$3.18545$	$[1, -1, 0, -1788, 32228]$	$y^2+xy=x^3-x^2-1788x+32228$	3.4.0.a.1, 4.8.0.b.1, 12.64.1.b.2, 51.8.0-3.a.1.2, 204.128.1.?	$[(26, 40)]$
46818.j1	46818k2	46818.j	46818k	$2$	$3$	$ 2 \cdot 3^{4} \cdot 17^{2} $	$ - 2^{2} \cdot 3^{12} \cdot 17^{6} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	4.8.0.2, 3.4.0.1	3B	$204$	$128$	$1$	$1$	$9$	$3$	$0$	$181440$	$1.368107$	$-35937/4$	$1.00607$	$3.79840$	$[1, -1, 1, -16094, -854063]$	$y^2+xy+y=x^3-x^2-16094x-854063$	3.4.0.a.1, 4.8.0.b.1, 12.64.1.b.2, 51.8.0-3.a.1.1, 68.16.0-4.b.1.1, $\ldots$	$[]$
58482.n1	58482j2	58482.n	58482j	$2$	$3$	$ 2 \cdot 3^{4} \cdot 19^{2} $	$ - 2^{2} \cdot 3^{12} \cdot 19^{6} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	4.8.0.2, 3.4.0.1	3B	$228$	$128$	$1$	$1$	$1$		$0$	$248832$	$1.423719$	$-35937/4$	$1.00607$	$3.78222$	$[1, -1, 0, -20103, 1202993]$	$y^2+xy=x^3-x^2-20103x+1202993$	3.4.0.a.1, 4.8.0.b.1, 12.64.1.b.2, 57.8.0-3.a.1.2, 76.16.0.?, $\ldots$	$[]$
58482.p1	58482y1	58482.p	58482y	$2$	$3$	$ 2 \cdot 3^{4} \cdot 19^{2} $	$ - 2^{2} \cdot 3^{6} \cdot 19^{6} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	4.8.0.2, 3.4.0.1	3B	$228$	$128$	$1$	$3.864189407$	$1$		$0$	$82944$	$0.874413$	$-35937/4$	$1.00607$	$3.18169$	$[1, -1, 1, -2234, -43811]$	$y^2+xy+y=x^3-x^2-2234x-43811$	3.4.0.a.1, 4.8.0.b.1, 12.64.1.b.2, 57.8.0-3.a.1.1, 228.128.1.?	$[(1033/3, 28039/3)]$
63504.i1	63504cd2	63504.i	63504cd	$2$	$3$	$ 2^{4} \cdot 3^{4} \cdot 7^{2} $	$ - 2^{14} \cdot 3^{12} \cdot 7^{6} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	4.8.0.2, 3.4.0.1	3B	$84$	$128$	$1$	$5.969871154$	$1$		$0$	$248832$	$1.617601$	$-35937/4$	$1.00607$	$3.96442$	$[0, 0, 0, -43659, -3834054]$	$y^2=x^3-43659x-3834054$	3.4.0.a.1, 4.8.0.b.1, 12.64.1.b.2, 28.16.0-4.b.1.1, 42.8.0-3.a.1.1, $\ldots$	$[(4375/3, 255878/3)]$
63504.cp1	63504by1	63504.cp	63504by	$2$	$3$	$ 2^{4} \cdot 3^{4} \cdot 7^{2} $	$ - 2^{14} \cdot 3^{6} \cdot 7^{6} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	4.8.0.2, 3.4.0.1	3B	$84$	$128$	$1$	$0.841866818$	$1$		$4$	$82944$	$1.068296$	$-35937/4$	$1.00607$	$3.36837$	$[0, 0, 0, -4851, 142002]$	$y^2=x^3-4851x+142002$	3.4.0.a.1, 4.8.0.b.1, 12.64.1.b.2, 42.8.0-3.a.1.2, 84.128.1.?	$[(63, 294)]$
85698.l1	85698h1	85698.l	85698h	$2$	$3$	$ 2 \cdot 3^{4} \cdot 23^{2} $	$ - 2^{2} \cdot 3^{6} \cdot 23^{6} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	4.8.0.2, 3.4.0.1	3B	$276$	$128$	$1$	$1$	$1$		$0$	$152064$	$0.969940$	$-35937/4$	$1.00607$	$3.17558$	$[1, -1, 0, -3273, -77887]$	$y^2+xy=x^3-x^2-3273x-77887$	3.4.0.a.1, 4.8.0.b.1, 12.64.1.b.2, 69.8.0-3.a.1.2, 276.128.1.?	$[]$
85698.o1	85698u2	85698.o	85698u	$2$	$3$	$ 2 \cdot 3^{4} \cdot 23^{2} $	$ - 2^{2} \cdot 3^{12} \cdot 23^{6} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	4.8.0.2, 3.4.0.1	3B	$276$	$128$	$1$	$4.408462771$	$1$		$0$	$456192$	$1.519247$	$-35937/4$	$1.00607$	$3.75590$	$[1, -1, 1, -29459, 2132407]$	$y^2+xy+y=x^3-x^2-29459x+2132407$	3.4.0.a.1, 4.8.0.b.1, 12.64.1.b.2, 69.8.0-3.a.1.1, 92.16.0.?, $\ldots$	$[(2515/3, 103072/3)]$
129600.r1	129600gu2	129600.r	129600gu	$2$	$3$	$ 2^{6} \cdot 3^{4} \cdot 5^{2} $	$ - 2^{20} \cdot 3^{12} \cdot 5^{6} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	4.8.0.2, 3.4.0.1	3B	$120$	$128$	$1$	$1$	$1$		$0$	$746496$	$1.795938$	$-35937/4$	$1.00607$	$3.90598$	$[0, 0, 0, -89100, 11178000]$	$y^2=x^3-89100x+11178000$	3.4.0.a.1, 4.8.0.b.1, 12.64.1.b.2, 40.16.0-4.b.1.1, 120.128.1.?	$[]$
129600.s1	129600gt1	129600.s	129600gt	$2$	$3$	$ 2^{6} \cdot 3^{4} \cdot 5^{2} $	$ - 2^{20} \cdot 3^{6} \cdot 5^{6} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	4.8.0.2, 3.4.0.1	3B	$120$	$128$	$1$	$1$	$1$		$0$	$248832$	$1.246634$	$-35937/4$	$1.00607$	$3.34605$	$[0, 0, 0, -9900, -414000]$	$y^2=x^3-9900x-414000$	3.4.0.a.1, 4.8.0.b.1, 12.64.1.b.2, 120.128.1.?	$[]$
129600.ir1	129600cc2	129600.ir	129600cc	$2$	$3$	$ 2^{6} \cdot 3^{4} \cdot 5^{2} $	$ - 2^{20} \cdot 3^{12} \cdot 5^{6} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	4.8.0.2, 3.4.0.1	3B	$120$	$128$	$1$	$16.12056419$	$1$		$0$	$746496$	$1.795938$	$-35937/4$	$1.00607$	$3.90598$	$[0, 0, 0, -89100, -11178000]$	$y^2=x^3-89100x-11178000$	3.4.0.a.1, 4.8.0.b.1, 12.64.1.b.2, 40.16.0-4.b.1.1, 120.128.1.?	$[(113339566/21, 1206624182336/21)]$
129600.is1	129600cb1	129600.is	129600cb	$2$	$3$	$ 2^{6} \cdot 3^{4} \cdot 5^{2} $	$ - 2^{20} \cdot 3^{6} \cdot 5^{6} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	4.8.0.2, 3.4.0.1	3B	$120$	$128$	$1$	$1.093331452$	$1$		$4$	$248832$	$1.246634$	$-35937/4$	$1.00607$	$3.34605$	$[0, 0, 0, -9900, 414000]$	$y^2=x^3-9900x+414000$	3.4.0.a.1, 4.8.0.b.1, 12.64.1.b.2, 120.128.1.?	$[(54, 192)]$
136242.t1	136242bq2	136242.t	136242bq	$2$	$3$	$ 2 \cdot 3^{4} \cdot 29^{2} $	$ - 2^{2} \cdot 3^{12} \cdot 29^{6} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	4.8.0.2, 3.4.0.1	3B	$348$	$128$	$1$	$16.28976195$	$1$		$0$	$825552$	$1.635147$	$-35937/4$	$1.00607$	$3.72626$	$[1, -1, 0, -46833, -4247983]$	$y^2+xy=x^3-x^2-46833x-4247983$	3.4.0.a.1, 4.8.0.b.1, 12.64.1.b.2, 87.8.0.?, 116.16.0.?, $\ldots$	$[(16762216/15, 68500985369/15)]$
136242.z1	136242i1	136242.z	136242i	$2$	$3$	$ 2 \cdot 3^{4} \cdot 29^{2} $	$ - 2^{2} \cdot 3^{6} \cdot 29^{6} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	4.8.0.2, 3.4.0.1	3B	$348$	$128$	$1$	$1$	$1$		$0$	$275184$	$1.085842$	$-35937/4$	$1.00607$	$3.16869$	$[1, -1, 1, -5204, 159067]$	$y^2+xy+y=x^3-x^2-5204x+159067$	3.4.0.a.1, 4.8.0.b.1, 12.64.1.b.2, 87.8.0.?, 348.128.1.?	$[]$
155682.a1	155682q1	155682.a	155682q	$2$	$3$	$ 2 \cdot 3^{4} \cdot 31^{2} $	$ - 2^{2} \cdot 3^{6} \cdot 31^{6} $	$2$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	4.8.0.2, 3.4.0.1	3B	$372$	$128$	$1$	$6.026229211$	$1$		$8$	$362880$	$1.119186$	$-35937/4$	$1.00607$	$3.16681$	$[1, -1, 0, -5946, -191224]$	$y^2+xy=x^3-x^2-5946x-191224$	3.4.0.a.1, 4.8.0.b.1, 12.64.1.b.2, 93.8.0.?, 372.128.1.?	$[(101, 430), (1870/3, 71192/3)]$
155682.z1	155682m2	155682.z	155682m	$2$	$3$	$ 2 \cdot 3^{4} \cdot 31^{2} $	$ - 2^{2} \cdot 3^{12} \cdot 31^{6} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	4.8.0.2, 3.4.0.1	3B	$372$	$128$	$1$	$6.670781274$	$1$		$0$	$1088640$	$1.668493$	$-35937/4$	$1.00607$	$3.71816$	$[1, -1, 1, -53516, 5216563]$	$y^2+xy+y=x^3-x^2-53516x+5216563$	3.4.0.a.1, 4.8.0.b.1, 12.64.1.b.2, 93.8.0.?, 124.16.0.?, $\ldots$	$[(-409/10, 2332931/10)]$
156816.g1	156816m1	156816.g	156816m	$2$	$3$	$ 2^{4} \cdot 3^{4} \cdot 11^{2} $	$ - 2^{14} \cdot 3^{6} \cdot 11^{6} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	4.8.0.2, 3.4.0.1	3B	$132$	$128$	$1$	$1.270460440$	$1$		$4$	$414720$	$1.294289$	$-35937/4$	$1.00607$	$3.34054$	$[0, 0, 0, -11979, 551034]$	$y^2=x^3-11979x+551034$	3.4.0.a.1, 4.8.0.b.1, 12.64.1.b.2, 66.8.0-3.a.1.1, 132.128.1.?	$[(55, 242)]$
156816.db1	156816by2	156816.db	156816by	$2$	$3$	$ 2^{4} \cdot 3^{4} \cdot 11^{2} $	$ - 2^{14} \cdot 3^{12} \cdot 11^{6} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	4.8.0.2, 3.4.0.1	3B	$132$	$128$	$1$	$14.56668594$	$1$		$0$	$1244160$	$1.843594$	$-35937/4$	$1.00607$	$3.89155$	$[0, 0, 0, -107811, -14877918]$	$y^2=x^3-107811x-14877918$	3.4.0.a.1, 4.8.0.b.1, 12.64.1.b.2, 44.16.0-4.b.1.1, 66.8.0-3.a.1.2, $\ldots$	$[(43619191/125, 285983374886/125)]$
198450.cd1	198450hg2	198450.cd	198450hg	$2$	$3$	$ 2 \cdot 3^{4} \cdot 5^{2} \cdot 7^{2} $	$ - 2^{2} \cdot 3^{12} \cdot 5^{6} \cdot 7^{6} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	4.8.0.2, 3.4.0.1	3B	$420$	$128$	$1$	$1$	$1$		$0$	$1119744$	$1.729174$	$-35937/4$	$1.00607$	$3.70387$	$[1, -1, 0, -68217, 7505441]$	$y^2+xy=x^3-x^2-68217x+7505441$	3.4.0.a.1, 4.8.0.b.1, 12.64.1.b.2, 105.8.0.?, 140.16.0.?, $\ldots$	$[]$
198450.gl1	198450cy1	198450.gl	198450cy	$2$	$3$	$ 2 \cdot 3^{4} \cdot 5^{2} \cdot 7^{2} $	$ - 2^{2} \cdot 3^{6} \cdot 5^{6} \cdot 7^{6} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	4.8.0.2, 3.4.0.1	3B	$420$	$128$	$1$	$3.991360980$	$1$		$2$	$373248$	$1.179867$	$-35937/4$	$1.00607$	$3.16349$	$[1, -1, 1, -7580, -275453]$	$y^2+xy+y=x^3-x^2-7580x-275453$	3.4.0.a.1, 4.8.0.b.1, 12.64.1.b.2, 105.8.0.?, 420.128.1.?	$[(485, 10243)]$
219024.d1	219024m2	219024.d	219024m	$2$	$3$	$ 2^{4} \cdot 3^{4} \cdot 13^{2} $	$ - 2^{14} \cdot 3^{12} \cdot 13^{6} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	4.8.0.2, 3.4.0.1	3B	$156$	$128$	$1$	$1$	$1$		$0$	$2021760$	$1.927122$	$-35937/4$	$1.00607$	$3.86732$	$[0, 0, 0, -150579, 24558066]$	$y^2=x^3-150579x+24558066$	3.4.0.a.1, 4.8.0.b.1, 12.64.1.b.2, 52.16.0-4.b.1.1, 78.8.0.?, $\ldots$	$[]$
219024.cs1	219024br1	219024.cs	219024br	$2$	$3$	$ 2^{4} \cdot 3^{4} \cdot 13^{2} $	$ - 2^{14} \cdot 3^{6} \cdot 13^{6} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	4.8.0.2, 3.4.0.1	3B	$156$	$128$	$1$	$1$	$1$		$0$	$673920$	$1.377815$	$-35937/4$	$1.00607$	$3.33128$	$[0, 0, 0, -16731, -909558]$	$y^2=x^3-16731x-909558$	3.4.0.a.1, 4.8.0.b.1, 12.64.1.b.2, 78.8.0.?, 156.128.1.?	$[]$
221778.b1	221778p2	221778.b	221778p	$2$	$3$	$ 2 \cdot 3^{4} \cdot 37^{2} $	$ - 2^{2} \cdot 3^{12} \cdot 37^{6} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	4.8.0.2, 3.4.0.1	3B	$444$	$128$	$1$	$11.22377909$	$1$		$0$	$1870128$	$1.756958$	$-35937/4$	$1.00607$	$3.69751$	$[1, -1, 0, -76236, -8827804]$	$y^2+xy=x^3-x^2-76236x-8827804$	3.4.0.a.1, 4.8.0.b.1, 12.64.1.b.2, 111.8.0.?, 148.16.0.?, $\ldots$	$[(92800/9, 26923706/9)]$
221778.w1	221778k1	221778.w	221778k	$2$	$3$	$ 2 \cdot 3^{4} \cdot 37^{2} $	$ - 2^{2} \cdot 3^{6} \cdot 37^{6} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	4.8.0.2, 3.4.0.1	3B	$444$	$128$	$1$	$1$	$1$		$0$	$623376$	$1.207653$	$-35937/4$	$1.00607$	$3.16202$	$[1, -1, 1, -8471, 329779]$	$y^2+xy+y=x^3-x^2-8471x+329779$	3.4.0.a.1, 4.8.0.b.1, 12.64.1.b.2, 111.8.0.?, 444.128.1.?	$[]$
254016.z1	254016z1	254016.z	254016z	$2$	$3$	$ 2^{6} \cdot 3^{4} \cdot 7^{2} $	$ - 2^{20} \cdot 3^{6} \cdot 7^{6} $	$2$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	4.8.0.2, 3.4.0.1	3B	$168$	$128$	$1$	$2.465629329$	$1$		$14$	$663552$	$1.414869$	$-35937/4$	$1.00607$	$3.32734$	$[0, 0, 0, -19404, -1136016]$	$y^2=x^3-19404x-1136016$	3.4.0.a.1, 4.8.0.b.1, 12.64.1.b.2, 168.128.1.?	$[(462, 9408), (168, 588)]$
254016.ba1	254016ba1	254016.ba	254016ba	$2$	$3$	$ 2^{6} \cdot 3^{4} \cdot 7^{2} $	$ - 2^{20} \cdot 3^{6} \cdot 7^{6} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	4.8.0.2, 3.4.0.1	3B	$168$	$128$	$1$	$2.199297455$	$1$		$2$	$663552$	$1.414869$	$-35937/4$	$1.00607$	$3.32734$	$[0, 0, 0, -19404, 1136016]$	$y^2=x^3-19404x+1136016$	3.4.0.a.1, 4.8.0.b.1, 12.64.1.b.2, 168.128.1.?	$[(28, 784)]$
254016.hh1	254016hh2	254016.hh	254016hh	$2$	$3$	$ 2^{6} \cdot 3^{4} \cdot 7^{2} $	$ - 2^{20} \cdot 3^{12} \cdot 7^{6} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	4.8.0.2, 3.4.0.1	3B	$168$	$128$	$1$	$1$	$1$		$0$	$1990656$	$1.964176$	$-35937/4$	$1.00607$	$3.85700$	$[0, 0, 0, -174636, 30672432]$	$y^2=x^3-174636x+30672432$	3.4.0.a.1, 4.8.0.b.1, 12.64.1.b.2, 56.16.0-4.b.1.1, 168.128.1.?	$[]$
254016.hi1	254016hi2	254016.hi	254016hi	$2$	$3$	$ 2^{6} \cdot 3^{4} \cdot 7^{2} $	$ - 2^{20} \cdot 3^{12} \cdot 7^{6} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	4.8.0.2, 3.4.0.1	3B	$168$	$128$	$1$	$23.68556821$	$1$		$0$	$1990656$	$1.964176$	$-35937/4$	$1.00607$	$3.85700$	$[0, 0, 0, -174636, -30672432]$	$y^2=x^3-174636x-30672432$	3.4.0.a.1, 4.8.0.b.1, 12.64.1.b.2, 56.16.0-4.b.1.1, 168.128.1.?	$[(232169970256/12545, 106728028557641596/12545)]$
272322.c1	272322c1	272322.c	272322c	$2$	$3$	$ 2 \cdot 3^{4} \cdot 41^{2} $	$ - 2^{2} \cdot 3^{6} \cdot 41^{6} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	4.8.0.2, 3.4.0.1	3B	$492$	$128$	$1$	$1.079557023$	$1$		$4$	$829440$	$1.258980$	$-35937/4$	$1.00607$	$3.15936$	$[1, -1, 0, -10401, 448433]$	$y^2+xy=x^3-x^2-10401x+448433$	3.4.0.a.1, 4.8.0.b.1, 12.64.1.b.2, 123.8.0.?, 492.128.1.?	$[(113, 784)]$
272322.be1	272322be2	272322.be	272322be	$2$	$3$	$ 2 \cdot 3^{4} \cdot 41^{2} $	$ - 2^{2} \cdot 3^{12} \cdot 41^{6} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	4.8.0.2, 3.4.0.1	3B	$492$	$128$	$1$	$1$	$9$	$3$	$0$	$2488320$	$1.808285$	$-35937/4$	$1.00607$	$3.68607$	$[1, -1, 1, -93611, -12014081]$	$y^2+xy+y=x^3-x^2-93611x-12014081$	3.4.0.a.1, 4.8.0.b.1, 12.64.1.b.2, 123.8.0.?, 164.16.0.?, $\ldots$	$[]$
299538.a1	299538a2	299538.a	299538a	$2$	$3$	$ 2 \cdot 3^{4} \cdot 43^{2} $	$ - 2^{2} \cdot 3^{12} \cdot 43^{6} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	4.8.0.2, 3.4.0.1	3B	$516$	$128$	$1$	$1$	$1$		$0$	$2830464$	$1.832100$	$-35937/4$	$1.00607$	$3.68089$	$[1, -1, 0, -102966, 13912136]$	$y^2+xy=x^3-x^2-102966x+13912136$	3.4.0.a.1, 4.8.0.b.1, 12.64.1.b.2, 129.8.0.?, 172.16.0.?, $\ldots$	$[]$
299538.z1	299538z1	299538.z	299538z	$2$	$3$	$ 2 \cdot 3^{4} \cdot 43^{2} $	$ - 2^{2} \cdot 3^{6} \cdot 43^{6} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	4.8.0.2, 3.4.0.1	3B	$516$	$128$	$1$	$22.09271746$	$1$		$0$	$943488$	$1.282793$	$-35937/4$	$1.00607$	$3.15815$	$[1, -1, 1, -11441, -511451]$	$y^2+xy+y=x^3-x^2-11441x-511451$	3.4.0.a.1, 4.8.0.b.1, 12.64.1.b.2, 129.8.0.?, 516.128.1.?	$[(238325034919/3705, 115900565485779862/3705)]$

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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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