Elliptic curves over $\Q$ of conductor 167310

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Label	Cremona label	Class	Cremona class	Class size	Class degree	Conductor	Discriminant	Rank	Torsion	$\textrm{End}^0(E_{\overline\Q})$	CM	Sato-Tate	Semistable	Potentially good	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
167310.a1	167310dy1	167310.a	167310dy	$2$	$3$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13^{2} \)	\( - 2^{7} \cdot 3^{6} \cdot 5 \cdot 11^{3} \cdot 13^{6} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$17160$	$16$	$0$	$5.889079667$	$1$		$0$	$1935360$	$1.784590$	$-76711450249/851840$	$0.93960$	$3.91297$	$[1, -1, 0, -134640, -19163520]$	\(y^2+xy=x^3-x^2-134640x-19163520\)	3.4.0.a.1, 39.8.0-3.a.1.2, 440.2.0.?, 1320.8.0.?, 17160.16.0.?	$[(15583/6, 358513/6)]$
167310.a2	167310dy2	167310.a	167310dy	$2$	$3$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13^{2} \)	\( - 2^{21} \cdot 3^{6} \cdot 5^{3} \cdot 11 \cdot 13^{6} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$17160$	$16$	$0$	$17.66723900$	$1$		$0$	$5806080$	$2.333897$	$2882081488391/2883584000$	$0.98944$	$4.21288$	$[1, -1, 0, 450945, -99622899]$	\(y^2+xy=x^3-x^2+450945x-99622899\)	3.4.0.a.1, 39.8.0-3.a.1.1, 440.2.0.?, 1320.8.0.?, 17160.16.0.?	$[(171429751/894, 1804980814733/894)]$
167310.b1	167310dz1	167310.b	167310dz	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13^{2} \)	\( - 2^{3} \cdot 3^{13} \cdot 5 \cdot 11 \cdot 13^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$17160$	$2$	$0$	$1.608953230$	$1$		$2$	$2257920$	$1.881346$	$15087533111/12509640$	$0.86609$	$3.77619$	$[1, -1, 0, 78300, 5528056]$	\(y^2+xy=x^3-x^2+78300x+5528056\)	17160.2.0.?	$[(101, 3752)]$
167310.c1	167310eb3	167310.c	167310eb	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13^{2} \)	\( 2 \cdot 3^{18} \cdot 5^{2} \cdot 11 \cdot 13^{7} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$3432$	$48$	$0$	$4.982125668$	$1$		$12$	$16515072$	$2.990879$	$6139836723518159689/3799803150$	$0.97402$	$5.42441$	$[1, -1, 0, -58023900, 170135635450]$	\(y^2+xy=x^3-x^2-58023900x+170135635450\)	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 88.12.0.?, 104.12.0.?, $\ldots$	$[(4391, -1435), (4443, 2933)]$
167310.c2	167310eb4	167310.c	167310eb	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13^{2} \)	\( 2 \cdot 3^{9} \cdot 5^{8} \cdot 11 \cdot 13^{10} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$3432$	$48$	$0$	$19.92850267$	$1$		$6$	$16515072$	$2.990879$	$17111482619973769/6627044531250$	$0.95942$	$4.93531$	$[1, -1, 0, -8165520, -5163149354]$	\(y^2+xy=x^3-x^2-8165520x-5163149354\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 52.12.0-4.c.1.1, 88.12.0.?, $\ldots$	$[(-1057, 48341), (5193, 301466)]$
167310.c3	167310eb2	167310.c	167310eb	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13^{2} \)	\( 2^{2} \cdot 3^{12} \cdot 5^{4} \cdot 11^{2} \cdot 13^{8} \)	$2$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$3432$	$48$	$0$	$4.982125668$	$1$		$24$	$8257536$	$2.644306$	$1525998818291689/37268302500$	$0.93288$	$4.73434$	$[1, -1, 0, -3648150, 2625700000]$	\(y^2+xy=x^3-x^2-3648150x+2625700000\)	2.6.0.a.1, 12.12.0-2.a.1.1, 52.12.0-2.a.1.1, 88.12.0.?, 156.24.0.?, $\ldots$	$[(725, 18650), (1475, 20525)]$
167310.c4	167310eb1	167310.c	167310eb	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13^{2} \)	\( - 2^{4} \cdot 3^{9} \cdot 5^{2} \cdot 11^{4} \cdot 13^{7} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$3432$	$48$	$0$	$1.245531417$	$1$		$25$	$4128768$	$2.297733$	$1095912791/2055596400$	$0.97133$	$4.23024$	$[1, -1, 0, 32670, 129367876]$	\(y^2+xy=x^3-x^2+32670x+129367876\)	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 52.12.0-4.c.1.2, 78.6.0.?, $\ldots$	$[(-328, 9290), (23, 11396)]$
167310.d1	167310ea2	167310.d	167310ea	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13^{2} \)	\( 2^{5} \cdot 3^{10} \cdot 5^{4} \cdot 11^{6} \cdot 13^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1144$	$12$	$0$	$4.212933307$	$1$		$2$	$5160960$	$2.393997$	$250376968939063933/2869928820000$	$0.99025$	$4.51863$	$[1, -1, 0, -1536300, 726018736]$	\(y^2+xy=x^3-x^2-1536300x+726018736\)	2.3.0.a.1, 88.6.0.?, 104.6.0.?, 572.6.0.?, 1144.12.0.?	$[(1163, 22031)]$
167310.d2	167310ea1	167310.d	167310ea	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13^{2} \)	\( - 2^{10} \cdot 3^{14} \cdot 5^{2} \cdot 11^{3} \cdot 13^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1144$	$12$	$0$	$2.106466653$	$1$		$5$	$2580480$	$2.047424$	$-550763061373/223556889600$	$1.02133$	$3.98048$	$[1, -1, 0, -19980, 28814800]$	\(y^2+xy=x^3-x^2-19980x+28814800\)	2.3.0.a.1, 88.6.0.?, 104.6.0.?, 286.6.0.?, 1144.12.0.?	$[(-85, 5510)]$
167310.e1	167310ed1	167310.e	167310ed	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13^{2} \)	\( 2^{6} \cdot 3^{7} \cdot 5^{5} \cdot 11 \cdot 13^{8} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$330$	$2$	$0$	$1.983484851$	$1$		$14$	$4193280$	$2.302784$	$63083274241/6600000$	$0.88395$	$4.32164$	$[1, -1, 0, -697410, -202723884]$	\(y^2+xy=x^3-x^2-697410x-202723884\)	330.2.0.?	$[(972, 5598), (-549, 4077)]$
167310.f1	167310ec1	167310.f	167310ec	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13^{2} \)	\( 2^{10} \cdot 3^{17} \cdot 5 \cdot 11^{3} \cdot 13^{10} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$330$	$2$	$0$	$6.153682570$	$1$		$2$	$72483840$	$3.695709$	$2199145936609609/1207207203840$	$1.02073$	$5.61775$	$[1, -1, 0, -125959365, 123422213461]$	\(y^2+xy=x^3-x^2-125959365x+123422213461\)	330.2.0.?	$[(-3270, 708979)]$
167310.g1	167310fj1	167310.g	167310fj	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13^{2} \)	\( - 2^{5} \cdot 3^{9} \cdot 5 \cdot 11^{3} \cdot 13^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$17160$	$2$	$0$	$1$	$1$		$0$	$2419200$	$2.021469$	$-27/2768480$	$1.30404$	$3.95471$	$[1, -1, 0, -285, -24674779]$	\(y^2+xy=x^3-x^2-285x-24674779\)	17160.2.0.?	$[ ]$
167310.h1	167310fn1	167310.h	167310fn	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13^{2} \)	\( - 2^{10} \cdot 3^{9} \cdot 5 \cdot 11 \cdot 13^{10} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$660$	$2$	$0$	$11.49000701$	$1$		$0$	$8236800$	$2.670433$	$-3216773547/56320$	$0.93276$	$4.77722$	$[1, -1, 0, -4289505, -3469739779]$	\(y^2+xy=x^3-x^2-4289505x-3469739779\)	660.2.0.?	$[(2439970/19, 3582014509/19)]$
167310.i1	167310ee1	167310.i	167310ee	$2$	$3$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13^{2} \)	\( - 2^{3} \cdot 3^{18} \cdot 5^{2} \cdot 11 \cdot 13^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$3432$	$16$	$0$	$1$	$1$		$0$	$663552$	$1.398602$	$-97435188409/1169170200$	$0.94184$	$3.33424$	$[1, -1, 0, -4770, -590004]$	\(y^2+xy=x^3-x^2-4770x-590004\)	3.4.0.a.1, 39.8.0-3.a.1.2, 88.2.0.?, 264.8.0.?, 3432.16.0.?	$[ ]$
167310.i2	167310ee2	167310.i	167310ee	$2$	$3$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13^{2} \)	\( - 2^{9} \cdot 3^{10} \cdot 5^{6} \cdot 11^{3} \cdot 13^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$3432$	$16$	$0$	$1$	$1$		$0$	$1990656$	$1.947908$	$69469028428631/862488000000$	$0.98200$	$3.87539$	$[1, -1, 0, 42615, 15302925]$	\(y^2+xy=x^3-x^2+42615x+15302925\)	3.4.0.a.1, 39.8.0-3.a.1.1, 88.2.0.?, 264.8.0.?, 3432.16.0.?	$[ ]$
167310.j1	167310fm2	167310.j	167310fm	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13^{2} \)	\( 2^{5} \cdot 3^{9} \cdot 5^{3} \cdot 11^{4} \cdot 13^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1560$	$12$	$0$	$1$	$4$	$2$	$0$	$4423680$	$2.424740$	$1073361235887380439/58564000$	$1.14300$	$4.91367$	$[1, -1, 0, -7487115, -7883458075]$	\(y^2+xy=x^3-x^2-7487115x-7883458075\)	2.3.0.a.1, 40.6.0.e.1, 156.6.0.?, 1560.12.0.?	$[ ]$
167310.j2	167310fm1	167310.j	167310fm	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13^{2} \)	\( - 2^{10} \cdot 3^{9} \cdot 5^{6} \cdot 11^{2} \cdot 13^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1560$	$12$	$0$	$1$	$1$		$1$	$2211840$	$2.078167$	$-260659961300439/1936000000$	$1.12829$	$4.22273$	$[1, -1, 0, -467115, -123550075]$	\(y^2+xy=x^3-x^2-467115x-123550075\)	2.3.0.a.1, 40.6.0.e.1, 78.6.0.?, 1560.12.0.?	$[ ]$
167310.k1	167310fk2	167310.k	167310fk	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13^{2} \)	\( 2 \cdot 3^{3} \cdot 5^{4} \cdot 11 \cdot 13^{8} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3432$	$12$	$0$	$7.108183188$	$1$		$8$	$688128$	$1.579777$	$149467669443/2323750$	$0.86462$	$3.69283$	$[1, -1, 0, -56055, -5025149]$	\(y^2+xy=x^3-x^2-56055x-5025149\)	2.3.0.a.1, 156.6.0.?, 264.6.0.?, 1144.6.0.?, 3432.12.0.?	$[(-133, 320), (4003/3, 199415/3)]$
167310.k2	167310fk1	167310.k	167310fk	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13^{2} \)	\( - 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 11^{2} \cdot 13^{7} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3432$	$12$	$0$	$1.777045797$	$1$		$19$	$344064$	$1.233202$	$-19683/157300$	$0.98164$	$3.16823$	$[1, -1, 0, -285, -217775]$	\(y^2+xy=x^3-x^2-285x-217775\)	2.3.0.a.1, 78.6.0.?, 264.6.0.?, 1144.6.0.?, 3432.12.0.?	$[(75, 385), (413, 8159)]$
167310.l1	167310fl4	167310.l	167310fl	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13^{2} \)	\( 2^{3} \cdot 3^{9} \cdot 5^{4} \cdot 11^{3} \cdot 13^{12} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$3432$	$96$	$1$	$19.56668483$	$1$		$2$	$55738368$	$3.593300$	$19054765821218746347/32122413895000$	$0.99002$	$5.79260$	$[1, -1, 0, -253908420, -1554936131800]$	\(y^2+xy=x^3-x^2-253908420x-1554936131800\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.11, 39.8.0-3.a.1.2, $\ldots$	$[(78599/2, 8089847/2), (-227081/5, 6013643/5)]$
167310.l2	167310fl2	167310.l	167310fl	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13^{2} \)	\( 2^{9} \cdot 3^{3} \cdot 5^{12} \cdot 11 \cdot 13^{8} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$3432$	$96$	$1$	$19.56668483$	$1$		$8$	$18579456$	$3.043995$	$1900481745258486963/232375000000000$	$0.98274$	$5.05289$	$[1, -1, 0, -13083420, 16179973200]$	\(y^2+xy=x^3-x^2-13083420x+16179973200\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.5, 39.8.0-3.a.1.1, $\ldots$	$[(5395, 317615), (-1329, 177354)]$
167310.l3	167310fl3	167310.l	167310fl	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13^{2} \)	\( - 2^{6} \cdot 3^{9} \cdot 5^{2} \cdot 11^{6} \cdot 13^{9} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$3432$	$96$	$1$	$4.891671209$	$1$		$13$	$27869184$	$3.246727$	$-1538518817843307/6227391227200$	$0.97271$	$5.18187$	$[1, -1, 0, -10974300, -39561678064]$	\(y^2+xy=x^3-x^2-10974300x-39561678064\)	2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.1, 39.8.0-3.a.1.2, 78.48.0.?, $\ldots$	$[(9032, 768828), (81533, 23219971)]$
167310.l4	167310fl1	167310.l	167310fl	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13^{2} \)	\( - 2^{18} \cdot 3^{3} \cdot 5^{6} \cdot 11^{2} \cdot 13^{7} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$3432$	$96$	$1$	$4.891671209$	$1$		$13$	$9289728$	$2.697418$	$1443395048293197/6443008000000$	$0.97378$	$4.61400$	$[1, -1, 0, 1193700, 1300358736]$	\(y^2+xy=x^3-x^2+1193700x+1300358736\)	2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.3, 39.8.0-3.a.1.1, 78.48.0.?, $\ldots$	$[(-237, 31806), (3013, 178056)]$
167310.m1	167310eg1	167310.m	167310eg	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13^{2} \)	\( - 2^{13} \cdot 3^{11} \cdot 5^{5} \cdot 11^{3} \cdot 13^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$17160$	$2$	$0$	$1$	$1$		$0$	$20966400$	$3.211273$	$109813469243970311/107638502400000$	$0.97273$	$5.08987$	$[1, -1, 0, 15174225, 18946558125]$	\(y^2+xy=x^3-x^2+15174225x+18946558125\)	17160.2.0.?	$[ ]$
167310.n1	167310ef1	167310.n	167310ef	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13^{2} \)	\( - 2^{7} \cdot 3^{7} \cdot 5 \cdot 11 \cdot 13^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$17160$	$2$	$0$	$1.404625973$	$1$		$2$	$139776$	$0.704172$	$8365427/21120$	$0.83032$	$2.61389$	$[1, -1, 0, 495, 7645]$	\(y^2+xy=x^3-x^2+495x+7645\)	17160.2.0.?	$[(23, 164)]$
167310.o1	167310fo1	167310.o	167310fo	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13^{2} \)	\( 2^{10} \cdot 3^{9} \cdot 5 \cdot 11 \cdot 13^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$330$	$2$	$0$	$1$	$1$		$0$	$2995200$	$2.235191$	$2683525923/56320$	$0.84714$	$4.33316$	$[1, -1, 0, -730365, -235667899]$	\(y^2+xy=x^3-x^2-730365x-235667899\)	330.2.0.?	$[ ]$
167310.p1	167310fp1	167310.p	167310fp	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13^{2} \)	\( 2^{2} \cdot 3^{9} \cdot 5^{2} \cdot 11 \cdot 13^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$264$	$12$	$0$	$3.112442218$	$1$		$3$	$451584$	$1.434711$	$14348907/1100$	$1.07010$	$3.47171$	$[1, -1, 0, -23100, -1252900]$	\(y^2+xy=x^3-x^2-23100x-1252900\)	2.3.0.a.1, 24.6.0.c.1, 66.6.0.a.1, 88.6.0.?, 264.12.0.?	$[(175, 115)]$
167310.p2	167310fp2	167310.p	167310fp	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13^{2} \)	\( - 2 \cdot 3^{9} \cdot 5^{4} \cdot 11^{2} \cdot 13^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$264$	$12$	$0$	$6.224884436$	$1$		$2$	$903168$	$1.781284$	$13312053/151250$	$0.94142$	$3.70866$	$[1, -1, 0, 22530, -5624254]$	\(y^2+xy=x^3-x^2+22530x-5624254\)	2.3.0.a.1, 24.6.0.b.1, 88.6.0.?, 132.6.0.?, 264.12.0.?	$[(1237/3, 4457/3)]$
167310.q1	167310eh4	167310.q	167310eh	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13^{2} \)	\( 2^{11} \cdot 3^{10} \cdot 5^{2} \cdot 11^{3} \cdot 13^{14} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$3432$	$48$	$0$	$31.26875126$	$1$		$0$	$908328960$	$5.145988$	$5309860874757074224246393258249/4502770931800627200$	$1.05091$	$7.70964$	$[1, -1, 0, -552818231640, -158205387923729600]$	\(y^2+xy=x^3-x^2-552818231640x-158205387923729600\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0.bb.1, 88.12.0.?, 104.12.0.?, $\ldots$	$[(1296108778201091/30361, 37988182057361763004994/30361)]$
167310.q2	167310eh2	167310.q	167310eh	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13^{2} \)	\( 2^{22} \cdot 3^{8} \cdot 5^{4} \cdot 11^{6} \cdot 13^{10} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$3432$	$48$	$0$	$15.63437563$	$1$		$2$	$454164480$	$4.799416$	$1297212465095901089487274249/1193746061037404160000$	$1.03381$	$7.01814$	$[1, -1, 0, -34558775640, -2470805389227200]$	\(y^2+xy=x^3-x^2-34558775640x-2470805389227200\)	2.6.0.a.1, 24.12.0.a.1, 52.12.0-2.a.1.1, 88.12.0.?, 132.12.0.?, $\ldots$	$[(2908616435/97, 116692411025915/97)]$
167310.q3	167310eh3	167310.q	167310eh	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13^{2} \)	\( - 2^{11} \cdot 3^{7} \cdot 5^{8} \cdot 11^{12} \cdot 13^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$3432$	$48$	$0$	$31.26875126$	$1$		$0$	$908328960$	$5.145988$	$-595697118196750093952139529/1272946549598037600000000$	$1.11614$	$7.08197$	$[1, -1, 0, -26662230360, -3629921898478784]$	\(y^2+xy=x^3-x^2-26662230360x-3629921898478784\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0.v.1, 52.12.0-4.c.1.1, 88.12.0.?, $\ldots$	$[(74350779361940753/238193, 20090141485330272060450136/238193)]$
167310.q4	167310eh1	167310.q	167310eh	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13^{2} \)	\( 2^{44} \cdot 3^{7} \cdot 5^{2} \cdot 11^{3} \cdot 13^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$3432$	$48$	$0$	$7.817187816$	$1$		$3$	$227082240$	$4.452843$	$592265697637387401314569/296787655248366796800$	$1.03329$	$6.37863$	$[1, -1, 0, -2661093720, -19347322483904]$	\(y^2+xy=x^3-x^2-2661093720x-19347322483904\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0.bb.1, 52.12.0-4.c.1.2, 66.6.0.a.1, $\ldots$	$[(83123, 18228146)]$
167310.r1	167310ei4	167310.r	167310ei	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13^{2} \)	\( 2 \cdot 3^{8} \cdot 5^{2} \cdot 11 \cdot 13^{10} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$3432$	$48$	$0$	$10.47210572$	$1$		$2$	$8257536$	$2.849792$	$2035678735521204409/141376950$	$1.01464$	$5.33263$	$[1, -1, 0, -40159755, -97946778825]$	\(y^2+xy=x^3-x^2-40159755x-97946778825\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 88.12.0.?, 104.12.0.?, $\ldots$	$[(102291, 32600085)]$
167310.r2	167310ei3	167310.r	167310ei	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13^{2} \)	\( 2 \cdot 3^{8} \cdot 5^{8} \cdot 11^{4} \cdot 13^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$3432$	$48$	$0$	$2.618026431$	$1$		$2$	$8257536$	$2.849792$	$2489411558640889/1338278906250$	$0.96902$	$4.77503$	$[1, -1, 0, -4294575, 914138811]$	\(y^2+xy=x^3-x^2-4294575x+914138811\)	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 88.12.0.?, 104.12.0.?, $\ldots$	$[(205, 6404)]$
167310.r3	167310ei2	167310.r	167310ei	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13^{2} \)	\( 2^{2} \cdot 3^{10} \cdot 5^{4} \cdot 11^{2} \cdot 13^{8} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$3432$	$48$	$0$	$5.236052863$	$1$		$6$	$4128768$	$2.503220$	$499980107400409/4140922500$	$0.92572$	$4.64157$	$[1, -1, 0, -2515005, -1523516175]$	\(y^2+xy=x^3-x^2-2515005x-1523516175\)	2.6.0.a.1, 12.12.0-2.a.1.1, 88.12.0.?, 104.12.0.?, 264.24.0.?, $\ldots$	$[(1905, 23460)]$
167310.r4	167310ei1	167310.r	167310ei	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13^{2} \)	\( - 2^{4} \cdot 3^{14} \cdot 5^{2} \cdot 11 \cdot 13^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$3432$	$48$	$0$	$2.618026431$	$1$		$5$	$2064384$	$2.156647$	$-4165509529/375289200$	$0.92691$	$4.08940$	$[1, -1, 0, -50985, -55453059]$	\(y^2+xy=x^3-x^2-50985x-55453059\)	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 88.12.0.?, 104.12.0.?, $\ldots$	$[(933, 26151)]$
167310.s1	167310ej4	167310.s	167310ej	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13^{2} \)	\( 2 \cdot 3^{26} \cdot 5^{2} \cdot 11 \cdot 13^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$3432$	$48$	$0$	$5.081325378$	$1$		$2$	$11796480$	$2.899765$	$7981893677157049/1917731420550$	$1.01586$	$4.87190$	$[1, -1, 0, -6332715, -4689228569]$	\(y^2+xy=x^3-x^2-6332715x-4689228569\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0.bb.1, 88.12.0.?, 104.12.0.?, $\ldots$	$[(-939, 21172)]$
167310.s2	167310ej2	167310.s	167310ej	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13^{2} \)	\( 2^{2} \cdot 3^{16} \cdot 5^{4} \cdot 11^{2} \cdot 13^{6} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$3432$	$48$	$0$	$2.540662689$	$1$		$8$	$5898240$	$2.553192$	$312341975961049/17862322500$	$0.99450$	$4.60245$	$[1, -1, 0, -2149965, 1152400081]$	\(y^2+xy=x^3-x^2-2149965x+1152400081\)	2.6.0.a.1, 24.12.0.a.1, 52.12.0-2.a.1.1, 88.12.0.?, 132.12.0.?, $\ldots$	$[(348, 20951)]$
167310.s3	167310ej1	167310.s	167310ej	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13^{2} \)	\( 2^{4} \cdot 3^{11} \cdot 5^{2} \cdot 11 \cdot 13^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$3432$	$48$	$0$	$1.270331344$	$1$		$7$	$2949120$	$2.206619$	$299270638153369/1069200$	$0.99274$	$4.59890$	$[1, -1, 0, -2119545, 1188240925]$	\(y^2+xy=x^3-x^2-2119545x+1188240925\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0.bb.1, 52.12.0-4.c.1.2, 66.6.0.a.1, $\ldots$	$[(845, -220)]$
167310.s4	167310ej3	167310.s	167310ej	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13^{2} \)	\( - 2 \cdot 3^{11} \cdot 5^{8} \cdot 11^{4} \cdot 13^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$3432$	$48$	$0$	$5.081325378$	$1$		$2$	$11796480$	$2.899765$	$116149984977671/2779502343750$	$1.04249$	$4.82764$	$[1, -1, 0, 1546065, 4699849675]$	\(y^2+xy=x^3-x^2+1546065x+4699849675\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0.v.1, 52.12.0-4.c.1.1, 88.12.0.?, $\ldots$	$[(2535, 156545)]$
167310.t1	167310ek3	167310.t	167310ek	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13^{2} \)	\( 2^{5} \cdot 3^{10} \cdot 5 \cdot 11^{8} \cdot 13^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$1560$	$48$	$0$	$2.722825822$	$1$		$2$	$82575360$	$4.030365$	$731941550287276688155369/6103466141778720$	$1.01467$	$6.39623$	$[1, -1, 0, -2855705670, 58738172320660]$	\(y^2+xy=x^3-x^2-2855705670x+58738172320660\)	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 40.12.0-4.c.1.6, 104.12.0.?, $\ldots$	$[(30677, 34094)]$
167310.t2	167310ek4	167310.t	167310ek	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13^{2} \)	\( 2^{5} \cdot 3^{7} \cdot 5 \cdot 11^{2} \cdot 13^{18} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$1560$	$48$	$0$	$10.89130329$	$4$	$2$	$2$	$82575360$	$4.030365$	$7639889435562537422569/1353152783913696480$	$1.00432$	$6.01691$	$[1, -1, 0, -624094470, -4998868348460]$	\(y^2+xy=x^3-x^2-624094470x-4998868348460\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 40.12.0-4.c.1.6, 52.12.0-4.c.1.1, $\ldots$	$[(39807, 5745049)]$
167310.t3	167310ek2	167310.t	167310ek	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13^{2} \)	\( 2^{10} \cdot 3^{8} \cdot 5^{2} \cdot 11^{4} \cdot 13^{12} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$1560$	$48$	$0$	$5.445651645$	$1$		$6$	$41287680$	$3.683788$	$190713967472892532969/16282209155097600$	$0.98938$	$5.71009$	$[1, -1, 0, -182396070, 875455352500]$	\(y^2+xy=x^3-x^2-182396070x+875455352500\)	2.6.0.a.1, 12.12.0-2.a.1.1, 40.12.0-2.a.1.2, 52.12.0-2.a.1.1, 120.24.0.?, $\ldots$	$[(12767, 785864)]$
167310.t4	167310ek1	167310.t	167310ek	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13^{2} \)	\( - 2^{20} \cdot 3^{7} \cdot 5^{4} \cdot 11^{2} \cdot 13^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$1560$	$48$	$0$	$2.722825822$	$1$		$5$	$20643840$	$3.337215$	$58370885971339031/522656808960000$	$0.98742$	$5.25950$	$[1, -1, 0, 12291930, 63100203700]$	\(y^2+xy=x^3-x^2+12291930x+63100203700\)	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 40.12.0-4.c.1.6, 52.12.0-4.c.1.2, $\ldots$	$[(92, 253394)]$
167310.u1	167310en2	167310.u	167310en	$2$	$3$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13^{2} \)	\( 2^{12} \cdot 3^{11} \cdot 5^{9} \cdot 11^{3} \cdot 13^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$4290$	$16$	$0$	$1$	$1$		$0$	$7464960$	$2.654884$	$15206049210062696089/2587464000000000$	$1.06233$	$4.64679$	$[1, -1, 0, -2568240, 1331686656]$	\(y^2+xy=x^3-x^2-2568240x+1331686656\)	3.4.0.a.1, 39.8.0-3.a.1.1, 330.8.0.?, 4290.16.0.?	$[ ]$
167310.u2	167310en1	167310.u	167310en	$2$	$3$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13^{2} \)	\( 2^{4} \cdot 3^{21} \cdot 5^{3} \cdot 11 \cdot 13^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$4290$	$16$	$0$	$1$	$1$		$0$	$2488320$	$2.105579$	$335362420207052329/315675954000$	$1.04621$	$4.32967$	$[1, -1, 0, -720225, -234889875]$	\(y^2+xy=x^3-x^2-720225x-234889875\)	3.4.0.a.1, 39.8.0-3.a.1.2, 330.8.0.?, 4290.16.0.?	$[ ]$
167310.v1	167310el1	167310.v	167310el	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13^{2} \)	\( - 2^{7} \cdot 3^{6} \cdot 5 \cdot 11 \cdot 13^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$440$	$2$	$0$	$8.676841543$	$1$		$0$	$1128960$	$1.687014$	$2053225511/1189760$	$0.93592$	$3.61037$	$[1, -1, 0, 40275, -122459]$	\(y^2+xy=x^3-x^2+40275x-122459\)	440.2.0.?	$[(67825/9, 17849359/9)]$
167310.w1	167310fq1	167310.w	167310fq	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13^{2} \)	\( 2^{10} \cdot 3^{3} \cdot 5 \cdot 11 \cdot 13^{2} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$330$	$2$	$0$	$1.397762693$	$1$		$10$	$76800$	$0.403409$	$2683525923/56320$	$0.84714$	$2.50558$	$[1, -1, 0, -480, 4096]$	\(y^2+xy=x^3-x^2-480x+4096\)	330.2.0.?	$[(32, 128), (0, 64)]$
167310.x1	167310em2	167310.x	167310em	$2$	$3$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13^{2} \)	\( - 2^{3} \cdot 3^{11} \cdot 5^{9} \cdot 11 \cdot 13^{9} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$17160$	$16$	$0$	$8.540513149$	$1$		$0$	$60963840$	$3.710423$	$-18605093748570727251049/91759078125000$	$1.00357$	$6.09091$	$[1, -1, 0, -839650590, 9364995978300]$	\(y^2+xy=x^3-x^2-839650590x+9364995978300\)	3.4.0.a.1, 39.8.0-3.a.1.1, 1320.8.0.?, 17160.16.0.?	$[(815283/2, 728260857/2)]$
167310.x2	167310em1	167310.x	167310em	$2$	$3$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13^{2} \)	\( - 2 \cdot 3^{21} \cdot 5^{3} \cdot 11^{3} \cdot 13^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$17160$	$16$	$0$	$2.846837716$	$1$		$2$	$20321280$	$3.161114$	$-7475384530020889/62069784455250$	$0.97744$	$5.09351$	$[1, -1, 0, -6195825, 23256868311]$	\(y^2+xy=x^3-x^2-6195825x+23256868311\)	3.4.0.a.1, 39.8.0-3.a.1.2, 1320.8.0.?, 17160.16.0.?	$[(203031, 91375227)]$

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