Elliptic curves over $\Q$ of conductor 34680

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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
34680.a1	34680e1	34680.a	34680e	$1$	$1$	\( 2^{3} \cdot 3 \cdot 5 \cdot 17^{2} \)	\( - 2^{8} \cdot 3 \cdot 5^{6} \cdot 17^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$1.254015176$	$1$		$2$	$24192$	$0.540372$	$-124176976/46875$	$0.87236$	$2.90331$	$[0, -1, 0, -436, -4364]$	\(y^2=x^3-x^2-436x-4364\)	6.2.0.a.1	$[(66, 500)]$
34680.b1	34680bg1	34680.b	34680bg	$1$	$1$	\( 2^{3} \cdot 3 \cdot 5 \cdot 17^{2} \)	\( - 2^{4} \cdot 3^{11} \cdot 5 \cdot 17^{9} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$510$	$2$	$0$	$1$	$1$		$0$	$1520640$	$2.808754$	$-6016521998966814976/4351616055$	$1.01934$	$6.02768$	$[0, -1, 0, -27593816, -55782045255]$	\(y^2=x^3-x^2-27593816x-55782045255\)	510.2.0.?	$[ ]$
34680.c1	34680c2	34680.c	34680c	$2$	$2$	\( 2^{3} \cdot 3 \cdot 5 \cdot 17^{2} \)	\( 2^{11} \cdot 3^{2} \cdot 5^{6} \cdot 17^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2040$	$12$	$0$	$3.524414200$	$1$		$3$	$331776$	$1.991402$	$11683450802/2390625$	$0.90838$	$4.57296$	$[0, -1, 0, -173496, -22305780]$	\(y^2=x^3-x^2-173496x-22305780\)	2.3.0.a.1, 60.6.0.c.1, 136.6.0.?, 2040.12.0.?	$[(941, 25432)]$
34680.c2	34680c1	34680.c	34680c	$2$	$2$	\( 2^{3} \cdot 3 \cdot 5 \cdot 17^{2} \)	\( - 2^{10} \cdot 3 \cdot 5^{3} \cdot 17^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2040$	$12$	$0$	$7.048828400$	$1$		$1$	$165888$	$1.644829$	$54607676/108375$	$0.86707$	$4.07829$	$[0, -1, 0, 23024, -2103524]$	\(y^2=x^3-x^2+23024x-2103524\)	2.3.0.a.1, 30.6.0.a.1, 136.6.0.?, 2040.12.0.?	$[(43770/11, 9728896/11)]$
34680.d1	34680bh1	34680.d	34680bh	$1$	$1$	\( 2^{3} \cdot 3 \cdot 5 \cdot 17^{2} \)	\( - 2^{10} \cdot 3 \cdot 5^{2} \cdot 17^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$1.011450979$	$1$		$2$	$137088$	$1.509403$	$23324/75$	$0.78242$	$3.93833$	$[0, -1, 0, 11464, -1012260]$	\(y^2=x^3-x^2+11464x-1012260\)	6.2.0.a.1	$[(193, 2890)]$
34680.e1	34680bd1	34680.e	34680bd	$1$	$1$	\( 2^{3} \cdot 3 \cdot 5 \cdot 17^{2} \)	\( - 2^{8} \cdot 3^{5} \cdot 5^{2} \cdot 17^{10} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$1$	$1$		$0$	$489600$	$2.236084$	$6154544/6075$	$0.89965$	$4.73602$	$[0, -1, 0, 306244, -54898044]$	\(y^2=x^3-x^2+306244x-54898044\)	6.2.0.a.1	$[ ]$
34680.f1	34680bc6	34680.f	34680bc	$6$	$8$	\( 2^{3} \cdot 3 \cdot 5 \cdot 17^{2} \)	\( 2^{11} \cdot 3 \cdot 5^{2} \cdot 17^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.24.0.7	2B	$4080$	$192$	$1$	$1$	$16$	$2$	$1$	$294912$	$1.896606$	$1770025017602/75$	$1.12837$	$5.05322$	$[0, -1, 0, -924896, -342055380]$	\(y^2=x^3-x^2-924896x-342055380\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.f.1, 24.24.0.bj.1, $\ldots$	$[ ]$
34680.f2	34680bc4	34680.f	34680bc	$6$	$8$	\( 2^{3} \cdot 3 \cdot 5 \cdot 17^{2} \)	\( 2^{10} \cdot 3^{2} \cdot 5^{4} \cdot 17^{6} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.15	2Cs	$2040$	$192$	$1$	$1$	$4$	$2$	$3$	$147456$	$1.550032$	$868327204/5625$	$1.10029$	$4.25800$	$[0, -1, 0, -57896, -5312580]$	\(y^2=x^3-x^2-57896x-5312580\)	2.6.0.a.1, 4.12.0.b.1, 8.24.0.d.1, 24.48.0.k.1, 40.48.0.v.1, $\ldots$	$[ ]$
34680.f3	34680bc5	34680.f	34680bc	$6$	$8$	\( 2^{3} \cdot 3 \cdot 5 \cdot 17^{2} \)	\( - 2^{11} \cdot 3 \cdot 5^{8} \cdot 17^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.92	2B	$4080$	$192$	$1$	$1$	$16$	$2$	$1$	$294912$	$1.896606$	$-27995042/1171875$	$1.07729$	$4.40662$	$[0, -1, 0, -23216, -11652084]$	\(y^2=x^3-x^2-23216x-11652084\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.1, 24.48.0.bo.1, 68.12.0-4.c.1.1, $\ldots$	$[ ]$
34680.f4	34680bc2	34680.f	34680bc	$6$	$8$	\( 2^{3} \cdot 3 \cdot 5 \cdot 17^{2} \)	\( 2^{8} \cdot 3^{4} \cdot 5^{2} \cdot 17^{6} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.13	2Cs	$2040$	$192$	$1$	$1$	$1$		$3$	$73728$	$1.203459$	$3631696/2025$	$1.02576$	$3.60149$	$[0, -1, 0, -5876, 35076]$	\(y^2=x^3-x^2-5876x+35076\)	2.6.0.a.1, 4.12.0.b.1, 8.24.0.d.2, 20.24.0.c.1, 24.48.0.p.2, $\ldots$	$[ ]$
34680.f5	34680bc1	34680.f	34680bc	$6$	$8$	\( 2^{3} \cdot 3 \cdot 5 \cdot 17^{2} \)	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 17^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.24.0.6	2B	$4080$	$192$	$1$	$1$	$1$		$1$	$36864$	$0.856885$	$24918016/45$	$0.99237$	$3.52050$	$[0, -1, 0, -4431, 114840]$	\(y^2=x^3-x^2-4431x+114840\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 10.6.0.a.1, 16.24.0.f.2, $\ldots$	$[ ]$
34680.f6	34680bc3	34680.f	34680bc	$6$	$8$	\( 2^{3} \cdot 3 \cdot 5 \cdot 17^{2} \)	\( - 2^{10} \cdot 3^{8} \cdot 5 \cdot 17^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.91	2B	$4080$	$192$	$1$	$1$	$4$	$2$	$1$	$147456$	$1.550032$	$54607676/32805$	$1.06524$	$3.99338$	$[0, -1, 0, 23024, 254716]$	\(y^2=x^3-x^2+23024x+254716\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.2, 20.12.0.h.1, 40.48.0.bm.2, $\ldots$	$[ ]$
34680.g1	34680b1	34680.g	34680b	$1$	$1$	\( 2^{3} \cdot 3 \cdot 5 \cdot 17^{2} \)	\( - 2^{4} \cdot 3^{5} \cdot 5 \cdot 17^{9} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$510$	$2$	$0$	$5.166505608$	$1$		$0$	$174080$	$1.628563$	$87808/1215$	$0.87077$	$4.09282$	$[0, -1, 0, 11464, -2265075]$	\(y^2=x^3-x^2+11464x-2265075\)	510.2.0.?	$[(8986/9, 437257/9)]$
34680.h1	34680a1	34680.h	34680a	$1$	$1$	\( 2^{3} \cdot 3 \cdot 5 \cdot 17^{2} \)	\( - 2^{4} \cdot 3^{5} \cdot 5^{3} \cdot 17^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$510$	$2$	$0$	$1.940708452$	$1$		$2$	$138240$	$1.577368$	$-73934023936/516375$	$0.90123$	$4.28646$	$[0, -1, 0, -63676, 6243085]$	\(y^2=x^3-x^2-63676x+6243085\)	510.2.0.?	$[(210, 1445)]$
34680.i1	34680be2	34680.i	34680be	$2$	$2$	\( 2^{3} \cdot 3 \cdot 5 \cdot 17^{2} \)	\( 2^{11} \cdot 3^{2} \cdot 5^{2} \cdot 17^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2040$	$12$	$0$	$1$	$1$		$1$	$184320$	$1.740654$	$20183398562/3825$	$0.90582$	$4.62525$	$[0, -1, 0, -208176, 36622476]$	\(y^2=x^3-x^2-208176x+36622476\)	2.3.0.a.1, 60.6.0.c.1, 136.6.0.?, 2040.12.0.?	$[ ]$
34680.i2	34680be1	34680.i	34680be	$2$	$2$	\( 2^{3} \cdot 3 \cdot 5 \cdot 17^{2} \)	\( - 2^{10} \cdot 3 \cdot 5 \cdot 17^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2040$	$12$	$0$	$1$	$1$		$1$	$92160$	$1.394081$	$-7086244/4335$	$0.93340$	$3.86704$	$[0, -1, 0, -11656, 698620]$	\(y^2=x^3-x^2-11656x+698620\)	2.3.0.a.1, 30.6.0.a.1, 136.6.0.?, 2040.12.0.?	$[ ]$
34680.j1	34680bf1	34680.j	34680bf	$1$	$1$	\( 2^{3} \cdot 3 \cdot 5 \cdot 17^{2} \)	\( - 2^{4} \cdot 3^{5} \cdot 5^{7} \cdot 17^{9} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$510$	$2$	$0$	$1$	$1$		$0$	$967680$	$2.455086$	$-158384129218816/93270234375$	$0.97776$	$5.08611$	$[0, -1, 0, -820856, 406872225]$	\(y^2=x^3-x^2-820856x+406872225\)	510.2.0.?	$[ ]$
34680.k1	34680d1	34680.k	34680d	$2$	$2$	\( 2^{3} \cdot 3 \cdot 5 \cdot 17^{2} \)	\( 2^{4} \cdot 3^{6} \cdot 5^{3} \cdot 17^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1020$	$12$	$0$	$10.86834027$	$1$		$1$	$391680$	$2.007122$	$240945152/91125$	$1.09684$	$4.55060$	$[0, -1, 0, -160491, -14513184]$	\(y^2=x^3-x^2-160491x-14513184\)	2.3.0.a.1, 60.6.0.d.1, 170.6.0.?, 204.6.0.?, 1020.12.0.?	$[(-57433/13, 1790257/13)]$
34680.k2	34680d2	34680.k	34680d	$2$	$2$	\( 2^{3} \cdot 3 \cdot 5 \cdot 17^{2} \)	\( - 2^{8} \cdot 3^{3} \cdot 5^{6} \cdot 17^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1020$	$12$	$0$	$21.73668055$	$1$		$1$	$783360$	$2.353699$	$462951088/421875$	$0.93513$	$4.87829$	$[0, -1, 0, 502764, -104185260]$	\(y^2=x^3-x^2+502764x-104185260\)	2.3.0.a.1, 60.6.0.d.1, 102.6.0.?, 340.6.0.?, 1020.12.0.?	$[(1421888714/2639, 48388326360548/2639)]$
34680.l1	34680o4	34680.l	34680o	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5 \cdot 17^{2} \)	\( 2^{11} \cdot 3^{4} \cdot 5 \cdot 17^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$2040$	$48$	$0$	$1$	$4$	$2$	$1$	$163840$	$1.486010$	$546718898/405$	$0.99169$	$4.28005$	$[0, -1, 0, -62520, -5992308]$	\(y^2=x^3-x^2-62520x-5992308\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0.y.1, 40.12.0.v.1, 120.24.0.?, $\ldots$	$[ ]$
34680.l2	34680o3	34680.l	34680o	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5 \cdot 17^{2} \)	\( 2^{11} \cdot 3 \cdot 5^{4} \cdot 17^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$2040$	$48$	$0$	$1$	$1$		$1$	$163840$	$1.486010$	$136835858/1875$	$0.97925$	$4.14755$	$[0, -1, 0, -39400, 2987500]$	\(y^2=x^3-x^2-39400x+2987500\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0.s.1, 40.12.0.bb.1, 120.24.0.?, $\ldots$	$[ ]$
34680.l3	34680o2	34680.l	34680o	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5 \cdot 17^{2} \)	\( 2^{10} \cdot 3^{2} \cdot 5^{2} \cdot 17^{6} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$2040$	$48$	$0$	$1$	$1$		$3$	$81920$	$1.139437$	$470596/225$	$1.13245$	$3.53863$	$[0, -1, 0, -4720, -50468]$	\(y^2=x^3-x^2-4720x-50468\)	2.6.0.a.1, 24.12.0.b.1, 40.12.0.a.1, 60.12.0.b.1, 120.24.0.?, $\ldots$	$[ ]$
34680.l4	34680o1	34680.l	34680o	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5 \cdot 17^{2} \)	\( - 2^{8} \cdot 3 \cdot 5 \cdot 17^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$2040$	$48$	$0$	$1$	$1$		$1$	$40960$	$0.792863$	$21296/15$	$0.85611$	$3.10991$	$[0, -1, 0, 1060, -6540]$	\(y^2=x^3-x^2+1060x-6540\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0.y.1, 30.6.0.a.1, 40.12.0.bb.1, $\ldots$	$[ ]$
34680.m1	34680n2	34680.m	34680n	$2$	$2$	\( 2^{3} \cdot 3 \cdot 5 \cdot 17^{2} \)	\( 2^{8} \cdot 3^{2} \cdot 5 \cdot 17^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1020$	$12$	$0$	$1$	$1$		$1$	$261120$	$1.742548$	$7304528/45$	$0.83151$	$4.48139$	$[0, -1, 0, -126100, 17185492]$	\(y^2=x^3-x^2-126100x+17185492\)	2.3.0.a.1, 60.6.0.d.1, 170.6.0.?, 204.6.0.?, 1020.12.0.?	$[ ]$
34680.m2	34680n1	34680.m	34680n	$2$	$2$	\( 2^{3} \cdot 3 \cdot 5 \cdot 17^{2} \)	\( - 2^{4} \cdot 3 \cdot 5^{2} \cdot 17^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1020$	$12$	$0$	$1$	$1$		$1$	$130560$	$1.395975$	$-2048/75$	$0.88377$	$3.83200$	$[0, -1, 0, -3275, 579552]$	\(y^2=x^3-x^2-3275x+579552\)	2.3.0.a.1, 60.6.0.d.1, 102.6.0.?, 340.6.0.?, 1020.12.0.?	$[ ]$
34680.n1	34680k1	34680.n	34680k	$1$	$1$	\( 2^{3} \cdot 3 \cdot 5 \cdot 17^{2} \)	\( 2^{8} \cdot 3^{4} \cdot 5^{3} \cdot 17^{2} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$10$	$2$	$0$	$0.200368059$	$1$		$22$	$13824$	$0.434082$	$85525504/10125$	$1.07081$	$2.81961$	$[0, -1, 0, -385, 2725]$	\(y^2=x^3-x^2-385x+2725\)	10.2.0.a.1	$[(25, 90), (5, 30)]$
34680.o1	34680i1	34680.o	34680i	$1$	$1$	\( 2^{3} \cdot 3 \cdot 5 \cdot 17^{2} \)	\( - 2^{4} \cdot 3 \cdot 5 \cdot 17^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$510$	$2$	$0$	$1$	$1$		$0$	$46080$	$0.935096$	$-30118144/255$	$0.88843$	$3.54002$	$[0, -1, 0, -4720, -124163]$	\(y^2=x^3-x^2-4720x-124163\)	510.2.0.?	$[ ]$
34680.p1	34680bn1	34680.p	34680bn	$1$	$1$	\( 2^{3} \cdot 3 \cdot 5 \cdot 17^{2} \)	\( - 2^{4} \cdot 3^{3} \cdot 5^{2} \cdot 17^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$1$	$1$		$0$	$88128$	$1.343737$	$-34816/675$	$0.88216$	$3.77247$	$[0, -1, 0, -3275, -422700]$	\(y^2=x^3-x^2-3275x-422700\)	6.2.0.a.1	$[ ]$
34680.q1	34680h1	34680.q	34680h	$1$	$1$	\( 2^{3} \cdot 3 \cdot 5 \cdot 17^{2} \)	\( - 2^{8} \cdot 3^{17} \cdot 5^{2} \cdot 17^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$1$	$1$		$0$	$97920$	$1.508150$	$-44103737752144/3228504075$	$0.98438$	$4.08921$	$[0, -1, 0, -30900, 2229300]$	\(y^2=x^3-x^2-30900x+2229300\)	6.2.0.a.1	$[ ]$
34680.r1	34680bj1	34680.r	34680bj	$1$	$1$	\( 2^{3} \cdot 3 \cdot 5 \cdot 17^{2} \)	\( 2^{8} \cdot 3^{2} \cdot 5^{5} \cdot 17^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$10$	$2$	$0$	$0.182156452$	$1$		$8$	$34560$	$0.805468$	$203622820864/28125$	$1.05941$	$3.56337$	$[0, -1, 0, -5145, 143757]$	\(y^2=x^3-x^2-5145x+143757\)	10.2.0.a.1	$[(39, 30)]$
34680.s1	34680bi4	34680.s	34680bi	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5 \cdot 17^{2} \)	\( 2^{10} \cdot 3^{4} \cdot 5 \cdot 17^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.8	2B	$2040$	$48$	$0$	$8.021888114$	$1$		$1$	$221184$	$1.886559$	$647158135396/6885$	$0.93033$	$4.89066$	$[0, -1, 0, -524920, -146205860]$	\(y^2=x^3-x^2-524920x-146205860\)	2.3.0.a.1, 4.12.0-4.c.1.2, 120.24.0.?, 170.6.0.?, 340.24.0.?, $\ldots$	$[(-70762/13, 55944/13)]$
34680.s2	34680bi3	34680.s	34680bi	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5 \cdot 17^{2} \)	\( 2^{10} \cdot 3 \cdot 5 \cdot 17^{10} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.6	2B	$2040$	$48$	$0$	$8.021888114$	$1$		$3$	$221184$	$1.886559$	$7793764996/1252815$	$0.89511$	$4.46793$	$[0, -1, 0, -120320, 13692060]$	\(y^2=x^3-x^2-120320x+13692060\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 60.12.0.h.1, 120.24.0.?, $\ldots$	$[(8542, 788788)]$
34680.s3	34680bi2	34680.s	34680bi	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5 \cdot 17^{2} \)	\( 2^{8} \cdot 3^{2} \cdot 5^{2} \cdot 17^{8} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.1	2Cs	$1020$	$48$	$0$	$4.010944057$	$1$		$7$	$110592$	$1.539986$	$680136784/65025$	$0.84522$	$4.10203$	$[0, -1, 0, -33620, -2156700]$	\(y^2=x^3-x^2-33620x-2156700\)	2.6.0.a.1, 4.12.0-2.a.1.1, 60.24.0-60.a.1.6, 204.24.0.?, 340.24.0.?, $\ldots$	$[(-128, 182)]$
34680.s4	34680bi1	34680.s	34680bi	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5 \cdot 17^{2} \)	\( - 2^{4} \cdot 3 \cdot 5^{4} \cdot 17^{7} \)	$1$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.7	2B	$2040$	$48$	$0$	$8.021888114$	$1$		$3$	$55296$	$1.193411$	$4499456/31875$	$0.87658$	$3.58822$	$[0, -1, 0, 2505, -162600]$	\(y^2=x^3-x^2+2505x-162600\)	2.3.0.a.1, 4.12.0-4.c.1.1, 102.6.0.?, 120.24.0.?, 204.24.0.?, $\ldots$	$[(2129/7, 55705/7)]$
34680.t1	34680g1	34680.t	34680g	$1$	$1$	\( 2^{3} \cdot 3 \cdot 5 \cdot 17^{2} \)	\( - 2^{4} \cdot 3^{21} \cdot 5^{3} \cdot 17^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$510$	$2$	$0$	$1$	$1$		$0$	$322560$	$1.980656$	$-4868914236046592/1307544150375$	$1.03727$	$4.57006$	$[0, -1, 0, -151260, -27347283]$	\(y^2=x^3-x^2-151260x-27347283\)	510.2.0.?	$[ ]$
34680.u1	34680f1	34680.u	34680f	$1$	$1$	\( 2^{3} \cdot 3 \cdot 5 \cdot 17^{2} \)	\( - 2^{4} \cdot 3^{7} \cdot 5^{3} \cdot 17^{11} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$510$	$2$	$0$	$1$	$1$		$0$	$967680$	$2.553268$	$64347918907136/388153407375$	$1.00188$	$5.14739$	$[0, -1, 0, 607960, 559897725]$	\(y^2=x^3-x^2+607960x+559897725\)	510.2.0.?	$[ ]$
34680.v1	34680j2	34680.v	34680j	$2$	$2$	\( 2^{3} \cdot 3 \cdot 5 \cdot 17^{2} \)	\( 2^{11} \cdot 3^{8} \cdot 5^{4} \cdot 17^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.2	2B	$136$	$12$	$0$	$1$	$1$		$1$	$98304$	$1.327953$	$19960071154/4100625$	$0.96800$	$3.81113$	$[0, -1, 0, -12200, -412500]$	\(y^2=x^3-x^2-12200x-412500\)	2.3.0.a.1, 8.6.0.f.1, 68.6.0.c.1, 136.12.0.?	$[ ]$
34680.v2	34680j1	34680.v	34680j	$2$	$2$	\( 2^{3} \cdot 3 \cdot 5 \cdot 17^{2} \)	\( 2^{10} \cdot 3^{4} \cdot 5^{2} \cdot 17^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.2	2B	$136$	$12$	$0$	$1$	$1$		$1$	$49152$	$0.981380$	$33610279748/2025$	$0.95771$	$3.79467$	$[0, -1, 0, -11520, -472068]$	\(y^2=x^3-x^2-11520x-472068\)	2.3.0.a.1, 8.6.0.f.1, 34.6.0.a.1, 136.12.0.?	$[ ]$
34680.w1	34680bl1	34680.w	34680bl	$1$	$1$	\( 2^{3} \cdot 3 \cdot 5 \cdot 17^{2} \)	\( - 2^{4} \cdot 3^{13} \cdot 5 \cdot 17^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$510$	$2$	$0$	$3.775830017$	$1$		$2$	$359424$	$1.938963$	$-951468070144/135517455$	$0.93077$	$4.55075$	$[0, -1, 0, -149220, 24816537]$	\(y^2=x^3-x^2-149220x+24816537\)	510.2.0.?	$[(992, 29189)]$
34680.x1	34680bo1	34680.x	34680bo	$1$	$1$	\( 2^{3} \cdot 3 \cdot 5 \cdot 17^{2} \)	\( - 2^{10} \cdot 3^{9} \cdot 5^{6} \cdot 17^{4} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$1$	$1$		$0$	$404352$	$2.064327$	$-271395189079204/307546875$	$1.03119$	$4.92647$	$[0, -1, 0, -594280, -176308100]$	\(y^2=x^3-x^2-594280x-176308100\)	6.2.0.a.1	$[ ]$
34680.y1	34680bk1	34680.y	34680bk	$1$	$1$	\( 2^{3} \cdot 3 \cdot 5 \cdot 17^{2} \)	\( - 2^{8} \cdot 3^{5} \cdot 5^{14} \cdot 17^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$2.621149206$	$1$		$2$	$1572480$	$2.575325$	$-1853341262928948120784/1483154296875$	$1.05503$	$5.75697$	$[0, -1, 0, -10742940, -13549347900]$	\(y^2=x^3-x^2-10742940x-13549347900\)	6.2.0.a.1	$[(3880, 56250)]$
34680.z1	34680bm2	34680.z	34680bm	$2$	$2$	\( 2^{3} \cdot 3 \cdot 5 \cdot 17^{2} \)	\( 2^{11} \cdot 3^{2} \cdot 5^{2} \cdot 17^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2040$	$12$	$0$	$2.847047478$	$1$		$3$	$22528$	$0.539178$	$2885794/225$	$0.85621$	$2.96535$	$[0, -1, 0, -640, -5588]$	\(y^2=x^3-x^2-640x-5588\)	2.3.0.a.1, 120.6.0.?, 136.6.0.?, 1020.6.0.?, 2040.12.0.?	$[(57, 374)]$
34680.z2	34680bm1	34680.z	34680bm	$2$	$2$	\( 2^{3} \cdot 3 \cdot 5 \cdot 17^{2} \)	\( - 2^{10} \cdot 3 \cdot 5 \cdot 17^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2040$	$12$	$0$	$5.694094957$	$1$		$1$	$11264$	$0.192605$	$1372/15$	$0.78891$	$2.44305$	$[0, -1, 0, 40, -420]$	\(y^2=x^3-x^2+40x-420\)	2.3.0.a.1, 120.6.0.?, 136.6.0.?, 510.6.0.?, 2040.12.0.?	$[(217/4, 3157/4)]$
34680.ba1	34680m1	34680.ba	34680m	$1$	$1$	\( 2^{3} \cdot 3 \cdot 5 \cdot 17^{2} \)	\( 2^{8} \cdot 3^{2} \cdot 5^{3} \cdot 17^{10} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$10$	$2$	$0$	$1$	$1$		$0$	$587520$	$2.356274$	$2029825024/1125$	$0.96956$	$5.29070$	$[0, -1, 0, -2115865, -1183350275]$	\(y^2=x^3-x^2-2115865x-1183350275\)	10.2.0.a.1	$[ ]$
34680.bb1	34680l4	34680.bb	34680l	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5 \cdot 17^{2} \)	\( 2^{11} \cdot 3^{7} \cdot 5^{12} \cdot 17^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$2040$	$48$	$0$	$1$	$9$	$3$	$1$	$30965760$	$4.182968$	$1059623036730633329075378/154307373046875$	$1.05545$	$7.64726$	$[0, -1, 0, -7795016760, 264897523942092]$	\(y^2=x^3-x^2-7795016760x+264897523942092\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0.s.1, 40.12.0.bb.1, 120.24.0.?, $\ldots$	$[ ]$
34680.bb2	34680l3	34680.bb	34680l	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5 \cdot 17^{2} \)	\( 2^{11} \cdot 3^{28} \cdot 5^{3} \cdot 17^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$2040$	$48$	$0$	$1$	$36$	$2, 3$	$1$	$30965760$	$4.182968$	$1664865424893526702418/826424127435466125$	$1.06099$	$7.02970$	$[0, -1, 0, -906204680, -3959678030100]$	\(y^2=x^3-x^2-906204680x-3959678030100\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0.y.1, 40.12.0.v.1, 120.24.0.?, $\ldots$	$[ ]$
34680.bb3	34680l2	34680.bb	34680l	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5 \cdot 17^{2} \)	\( 2^{10} \cdot 3^{14} \cdot 5^{6} \cdot 17^{10} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$2040$	$48$	$0$	$1$	$9$	$3$	$3$	$15482880$	$3.836395$	$521902963282042184836/6241849278890625$	$1.03337$	$6.85243$	$[0, -1, 0, -488599680, 4113962955900]$	\(y^2=x^3-x^2-488599680x+4113962955900\)	2.6.0.a.1, 24.12.0.b.1, 40.12.0.a.1, 60.12.0.b.1, 120.24.0.?, $\ldots$	$[ ]$
34680.bb4	34680l1	34680.bb	34680l	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5 \cdot 17^{2} \)	\( - 2^{8} \cdot 3^{7} \cdot 5^{3} \cdot 17^{14} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$2040$	$48$	$0$	$1$	$9$	$3$	$1$	$7741440$	$3.489822$	$-3579968623693264/1906997690433375$	$1.07223$	$6.23542$	$[0, -1, 0, -5848300, 165249768052]$	\(y^2=x^3-x^2-5848300x+165249768052\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0.y.1, 30.6.0.a.1, 40.12.0.bb.1, $\ldots$	$[ ]$
34680.bc1	34680w1	34680.bc	34680w	$1$	$1$	\( 2^{3} \cdot 3 \cdot 5 \cdot 17^{2} \)	\( 2^{8} \cdot 3^{2} \cdot 5^{3} \cdot 17^{4} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$10$	$2$	$0$	$1.365284284$	$1$		$4$	$34560$	$0.939669$	$2029825024/1125$	$0.96956$	$3.66458$	$[0, 1, 0, -7321, -243445]$	\(y^2=x^3+x^2-7321x-243445\)	10.2.0.a.1	$[(-49, 6)]$
34680.bd1	34680bt2	34680.bd	34680bt	$2$	$2$	\( 2^{3} \cdot 3 \cdot 5 \cdot 17^{2} \)	\( 2^{11} \cdot 3^{2} \cdot 5^{2} \cdot 17^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2040$	$12$	$0$	$11.59684368$	$1$		$1$	$382976$	$1.955784$	$2885794/225$	$0.85621$	$4.59147$	$[0, 1, 0, -185056, -28564000]$	\(y^2=x^3+x^2-185056x-28564000\)	2.3.0.a.1, 120.6.0.?, 136.6.0.?, 1020.6.0.?, 2040.12.0.?	$[(-431707/38, 19711665/38)]$

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