Elliptic curves over $\Q$ of conductor 473382

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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	Manin constant
473382.a1	473382a2	473382.a	473382a	$2$	$2$	\( 2 \cdot 3^{2} \cdot 7 \cdot 13 \cdot 17^{2} \)	\( 2^{3} \cdot 3^{14} \cdot 7^{4} \cdot 13 \cdot 17^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1768$	$12$	$0$	$8.357124077$	$1$		$2$	$100270080$	$3.196522$	$28632956937857/1638307944$	$0.97197$	$4.82689$	$[1, -1, 0, -28181889, 54670430709]$	\(y^2+xy=x^3-x^2-28181889x+54670430709\)	2.3.0.a.1, 68.6.0.c.1, 104.6.0.?, 1768.12.0.?	$[(32527/3, 55604/3)]$	$1$
473382.a2	473382a1	473382.a	473382a	$2$	$2$	\( 2 \cdot 3^{2} \cdot 7 \cdot 13 \cdot 17^{2} \)	\( 2^{6} \cdot 3^{10} \cdot 7^{2} \cdot 13^{2} \cdot 17^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1768$	$12$	$0$	$4.178562038$	$1$		$3$	$50135040$	$2.849949$	$178738971137/42928704$	$0.94446$	$4.43842$	$[1, -1, 0, -5189049, -3478461651]$	\(y^2+xy=x^3-x^2-5189049x-3478461651\)	2.3.0.a.1, 34.6.0.a.1, 104.6.0.?, 1768.12.0.?	$[(-753, 1605)]$	$1$
473382.b1	473382b1	473382.b	473382b	$1$	$1$	\( 2 \cdot 3^{2} \cdot 7 \cdot 13 \cdot 17^{2} \)	\( - 2 \cdot 3^{19} \cdot 7 \cdot 13 \cdot 17^{9} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$37128$	$2$	$0$	$4.634192920$	$1$		$8$	$73322496$	$3.120003$	$-153509362902771121/1425589419618$	$0.93988$	$4.83479$	$[1, -1, 0, -29014209, 60641948119]$	\(y^2+xy=x^3-x^2-29014209x+60641948119\)	37128.2.0.?	$[(10451, 942839), (233525, 112702913)]$	$1$
473382.c1	473382c1	473382.c	473382c	$1$	$1$	\( 2 \cdot 3^{2} \cdot 7 \cdot 13 \cdot 17^{2} \)	\( - 2^{3} \cdot 3^{9} \cdot 7 \cdot 13 \cdot 17^{9} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$37128$	$2$	$0$	$1$	$1$		$0$	$13943808$	$2.182220$	$328509/728$	$0.77439$	$3.75957$	$[1, -1, 0, 190686, 53862524]$	\(y^2+xy=x^3-x^2+190686x+53862524\)	37128.2.0.?	$[ ]$	$1$
473382.d1	473382d1	473382.d	473382d	$1$	$1$	\( 2 \cdot 3^{2} \cdot 7 \cdot 13 \cdot 17^{2} \)	\( 2^{4} \cdot 3^{6} \cdot 7 \cdot 13^{4} \cdot 17^{10} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$28$	$2$	$0$	$1$	$1$		$0$	$51701760$	$2.903996$	$42782371921/3198832$	$1.00154$	$4.54582$	$[1, -1, 0, -8284239, 8566249149]$	\(y^2+xy=x^3-x^2-8284239x+8566249149\)	28.2.0.a.1	$[ ]$	$1$
473382.e1	473382e1	473382.e	473382e	$1$	$1$	\( 2 \cdot 3^{2} \cdot 7 \cdot 13 \cdot 17^{2} \)	\( - 2 \cdot 3^{6} \cdot 7^{3} \cdot 13 \cdot 17^{6} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$728$	$2$	$0$	$0.882776493$	$1$		$4$	$2612736$	$1.408056$	$4019679/8918$	$1.11550$	$3.04869$	$[1, -1, 0, 8616, 516014]$	\(y^2+xy=x^3-x^2+8616x+516014\)	728.2.0.?	$[(47, 988)]$	$1$
473382.f1	473382f2	473382.f	473382f	$2$	$2$	\( 2 \cdot 3^{2} \cdot 7 \cdot 13 \cdot 17^{2} \)	\( 2 \cdot 3^{3} \cdot 7 \cdot 13^{2} \cdot 17^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$37128$	$12$	$0$	$4.201556564$	$1$		$0$	$4792320$	$1.606407$	$38034753147/683774$	$0.86061$	$3.41736$	$[1, -1, 0, -60744, -5657026]$	\(y^2+xy=x^3-x^2-60744x-5657026\)	2.3.0.a.1, 168.6.0.?, 2652.6.0.?, 12376.6.0.?, 37128.12.0.?	$[(4115/2, 251361/2)]$	$1$
473382.f2	473382f1	473382.f	473382f	$2$	$2$	\( 2 \cdot 3^{2} \cdot 7 \cdot 13 \cdot 17^{2} \)	\( - 2^{2} \cdot 3^{3} \cdot 7^{2} \cdot 13 \cdot 17^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$37128$	$12$	$0$	$2.100778282$	$1$		$3$	$2396160$	$1.259832$	$-27/43316$	$1.03336$	$2.94055$	$[1, -1, 0, -54, -255616]$	\(y^2+xy=x^3-x^2-54x-255616\)	2.3.0.a.1, 168.6.0.?, 1326.6.0.?, 12376.6.0.?, 37128.12.0.?	$[(1016, 31860)]$	$1$
473382.g1	473382g1	473382.g	473382g	$2$	$3$	\( 2 \cdot 3^{2} \cdot 7 \cdot 13 \cdot 17^{2} \)	\( - 2 \cdot 3^{3} \cdot 7^{6} \cdot 13^{2} \cdot 17^{10} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$408$	$16$	$0$	$1$	$1$		$0$	$54991872$	$3.094955$	$-209209671446571/39765362$	$0.96108$	$4.94371$	$[1, -1, 0, -46870941, 123542427043]$	\(y^2+xy=x^3-x^2-46870941x+123542427043\)	3.4.0.a.1, 24.8.0.d.1, 51.8.0-3.a.1.2, 408.16.0.?	$[ ]$	$1$
473382.g2	473382g2	473382.g	473382g	$2$	$3$	\( 2 \cdot 3^{2} \cdot 7 \cdot 13 \cdot 17^{2} \)	\( - 2^{3} \cdot 3^{9} \cdot 7^{2} \cdot 13^{6} \cdot 17^{10} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$408$	$16$	$0$	$1$	$1$		$0$	$164975616$	$3.644260$	$8526548781/1892109128$	$1.00351$	$5.12967$	$[1, -1, 0, 14516994, 416342414348]$	\(y^2+xy=x^3-x^2+14516994x+416342414348\)	3.4.0.a.1, 24.8.0.d.1, 51.8.0-3.a.1.1, 408.16.0.?	$[ ]$	$1$
473382.h1	473382h1	473382.h	473382h	$1$	$1$	\( 2 \cdot 3^{2} \cdot 7 \cdot 13 \cdot 17^{2} \)	\( - 2^{11} \cdot 3^{9} \cdot 7^{5} \cdot 13 \cdot 17^{6} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2184$	$2$	$0$	$37.14165917$	$1$		$0$	$25259520$	$2.786354$	$-215773279370739/447469568$	$1.11419$	$4.58350$	$[1, -1, 0, -9750336, -11737188352]$	\(y^2+xy=x^3-x^2-9750336x-11737188352\)	2184.2.0.?	$[(62895510104674879/2007403, 15366285285872874578016922/2007403)]$	$1$
473382.i1	473382i1	473382.i	473382i	$1$	$1$	\( 2 \cdot 3^{2} \cdot 7 \cdot 13 \cdot 17^{2} \)	\( - 2 \cdot 3^{10} \cdot 7 \cdot 13 \cdot 17^{9} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$12376$	$2$	$0$	$1$	$1$		$0$	$13787136$	$2.314930$	$-2521008881/14742$	$0.84062$	$4.11310$	$[1, -1, 0, -1253736, 543364366]$	\(y^2+xy=x^3-x^2-1253736x+543364366\)	12376.2.0.?	$[ ]$	$1$
473382.j1	473382j1	473382.j	473382j	$1$	$1$	\( 2 \cdot 3^{2} \cdot 7 \cdot 13 \cdot 17^{2} \)	\( - 2^{23} \cdot 3^{9} \cdot 7^{2} \cdot 13^{2} \cdot 17^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24$	$2$	$0$	$1$	$1$		$0$	$9538560$	$2.059902$	$23609740877181/69466062848$	$0.94831$	$3.65435$	$[1, -1, 0, 106689, 27080333]$	\(y^2+xy=x^3-x^2+106689x+27080333\)	24.2.0.b.1	$[ ]$	$1$
473382.k1	473382k1	473382.k	473382k	$1$	$1$	\( 2 \cdot 3^{2} \cdot 7 \cdot 13 \cdot 17^{2} \)	\( - 2^{16} \cdot 3^{10} \cdot 7 \cdot 13 \cdot 17^{10} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$182$	$2$	$0$	$14.96393419$	$1$		$0$	$91496448$	$3.260674$	$-88093331713/483065856$	$0.93637$	$4.78085$	$[1, -1, 0, -10539306, -42621516684]$	\(y^2+xy=x^3-x^2-10539306x-42621516684\)	182.2.0.?	$[(148400676/35, 1804540765194/35)]$	$1$
473382.l1	473382l1	473382.l	473382l	$1$	$1$	\( 2 \cdot 3^{2} \cdot 7 \cdot 13 \cdot 17^{2} \)	\( - 2^{11} \cdot 3^{6} \cdot 7 \cdot 13^{3} \cdot 17^{9} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$12376$	$2$	$0$	$1$	$1$		$0$	$29872128$	$2.804344$	$-20145851361/31496192$	$0.91529$	$4.37153$	$[1, -1, 0, -2506551, 2939331293]$	\(y^2+xy=x^3-x^2-2506551x+2939331293\)	12376.2.0.?	$[ ]$	$1$
473382.m1	473382m2	473382.m	473382m	$2$	$3$	\( 2 \cdot 3^{2} \cdot 7 \cdot 13 \cdot 17^{2} \)	\( - 2^{2} \cdot 3^{6} \cdot 7^{3} \cdot 13^{3} \cdot 17^{8} \)	$1$	$\Z/3\Z$	$\Q$		$\mathrm{SU}(2)$			$3$	3.8.0.1	3B.1.1	$546$	$16$	$0$	$2.292227730$	$1$		$6$	$19035648$	$2.398453$	$-11624563297/3014284$	$0.85036$	$4.04082$	$[1, -1, 0, -811566, 338836176]$	\(y^2+xy=x^3-x^2-811566x+338836176\)	3.8.0-3.a.1.2, 182.2.0.?, 546.16.0.?	$[(672, 9492)]$	$1$
473382.m2	473382m1	473382.m	473382m	$2$	$3$	\( 2 \cdot 3^{2} \cdot 7 \cdot 13 \cdot 17^{2} \)	\( - 2^{6} \cdot 3^{6} \cdot 7 \cdot 13 \cdot 17^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.8.0.2	3B.1.2	$546$	$16$	$0$	$6.876683192$	$1$		$0$	$6345216$	$1.849146$	$8381663/5824$	$0.77997$	$3.45884$	$[1, -1, 0, 72774, -3403404]$	\(y^2+xy=x^3-x^2+72774x-3403404\)	3.8.0-3.a.1.1, 182.2.0.?, 546.16.0.?	$[(2964/5, 320478/5)]$	$1$
473382.n1	473382n1	473382.n	473382n	$1$	$1$	\( 2 \cdot 3^{2} \cdot 7 \cdot 13 \cdot 17^{2} \)	\( 2^{10} \cdot 3^{6} \cdot 7^{7} \cdot 13^{2} \cdot 17^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$28$	$2$	$0$	$1$	$1$		$0$	$153538560$	$3.643116$	$2538494967718840113/142519057408$	$0.99924$	$5.48189$	$[1, -1, 0, -488716683, -4158148854331]$	\(y^2+xy=x^3-x^2-488716683x-4158148854331\)	28.2.0.a.1	$[ ]$	$1$
473382.o1	473382o1	473382.o	473382o	$2$	$2$	\( 2 \cdot 3^{2} \cdot 7 \cdot 13 \cdot 17^{2} \)	\( 2^{4} \cdot 3^{7} \cdot 7 \cdot 13 \cdot 17^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$18564$	$12$	$0$	$1$	$4$	$2$	$1$	$5570560$	$2.066570$	$9129329/4368$	$0.79348$	$3.68219$	$[1, -1, 0, -192528, -13484880]$	\(y^2+xy=x^3-x^2-192528x-13484880\)	2.3.0.a.1, 68.6.0.b.1, 1092.6.0.?, 9282.6.0.?, 18564.12.0.?	$[ ]$	$1$
473382.o2	473382o2	473382.o	473382o	$2$	$2$	\( 2 \cdot 3^{2} \cdot 7 \cdot 13 \cdot 17^{2} \)	\( - 2^{2} \cdot 3^{8} \cdot 7^{2} \cdot 13^{2} \cdot 17^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$18564$	$12$	$0$	$1$	$1$		$0$	$11141120$	$2.413143$	$423564751/298116$	$0.85336$	$3.97583$	$[1, -1, 0, 691812, -103156956]$	\(y^2+xy=x^3-x^2+691812x-103156956\)	2.3.0.a.1, 68.6.0.a.1, 1092.6.0.?, 18564.12.0.?	$[ ]$	$1$
473382.p1	473382p1	473382.p	473382p	$1$	$1$	\( 2 \cdot 3^{2} \cdot 7 \cdot 13 \cdot 17^{2} \)	\( - 2^{7} \cdot 3^{6} \cdot 7^{3} \cdot 13 \cdot 17^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$728$	$2$	$0$	$1$	$9$	$3$	$0$	$8709120$	$2.246090$	$-297141543217/164947328$	$0.86036$	$3.87835$	$[1, -1, 0, -361593, -117054099]$	\(y^2+xy=x^3-x^2-361593x-117054099\)	728.2.0.?	$[ ]$	$1$
473382.q1	473382q1	473382.q	473382q	$1$	$1$	\( 2 \cdot 3^{2} \cdot 7 \cdot 13 \cdot 17^{2} \)	\( - 2^{6} \cdot 3^{6} \cdot 7 \cdot 13 \cdot 17^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$3094$	$2$	$0$	$2.999560175$	$1$		$2$	$483840$	$0.705816$	$-33076161/5824$	$0.79861$	$2.50016$	$[1, -1, 0, -1023, -14131]$	\(y^2+xy=x^3-x^2-1023x-14131\)	3094.2.0.?	$[(38, 9)]$	$1$
473382.r1	473382r1	473382.r	473382r	$1$	$1$	\( 2 \cdot 3^{2} \cdot 7 \cdot 13 \cdot 17^{2} \)	\( - 2^{11} \cdot 3^{7} \cdot 7^{2} \cdot 13 \cdot 17^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$312$	$2$	$0$	$1.325359491$	$1$		$4$	$1115136$	$1.236959$	$-7465538147617/3913728$	$0.90117$	$3.20641$	$[1, -1, 0, -24228, 1458256]$	\(y^2+xy=x^3-x^2-24228x+1458256\)	312.2.0.?	$[(89, -13)]$	$1$
473382.s1	473382s1	473382.s	473382s	$2$	$2$	\( 2 \cdot 3^{2} \cdot 7 \cdot 13 \cdot 17^{2} \)	\( 2^{28} \cdot 3^{15} \cdot 7 \cdot 13 \cdot 17^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$18564$	$12$	$0$	$46.46850020$	$1$		$1$	$350945280$	$4.218849$	$3574622011078547729/480808972320768$	$1.02748$	$5.72490$	$[1, -1, 0, -1408503978, -17825288060300]$	\(y^2+xy=x^3-x^2-1408503978x-17825288060300\)	2.3.0.a.1, 68.6.0.b.1, 1092.6.0.?, 9282.6.0.?, 18564.12.0.?	$[(-9838151363081804602857/598919858, 92460771582145496116320816328967/598919858)]$	$1$
473382.s2	473382s2	473382.s	473382s	$2$	$2$	\( 2 \cdot 3^{2} \cdot 7 \cdot 13 \cdot 17^{2} \)	\( - 2^{14} \cdot 3^{24} \cdot 7^{2} \cdot 13^{2} \cdot 17^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$18564$	$12$	$0$	$23.23425010$	$1$		$0$	$701890560$	$4.565422$	$13878520798652851951/52563625073197056$	$1.01433$	$5.95977$	$[1, -1, 0, 2213752662, -94401966783884]$	\(y^2+xy=x^3-x^2+2213752662x-94401966783884\)	2.3.0.a.1, 68.6.0.a.1, 1092.6.0.?, 18564.12.0.?	$[(55477726815620/25391, 442575277588904944354/25391)]$	$1$
473382.t1	473382t2	473382.t	473382t	$2$	$2$	\( 2 \cdot 3^{2} \cdot 7 \cdot 13 \cdot 17^{2} \)	\( 2^{4} \cdot 3^{6} \cdot 7^{16} \cdot 13 \cdot 17^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$884$	$12$	$0$	$4.713188371$	$1$		$0$	$802160640$	$4.484550$	$196939179295135171649/6912449558477008$	$1.00215$	$6.03169$	$[1, -1, 0, -5359514013, 146370485193205]$	\(y^2+xy=x^3-x^2-5359514013x+146370485193205\)	2.3.0.a.1, 52.6.0.d.1, 68.6.0.c.1, 442.6.0.?, 884.12.0.?	$[(133623/2, 17043131/2)]$	$1$
473382.t2	473382t1	473382.t	473382t	$2$	$2$	\( 2 \cdot 3^{2} \cdot 7 \cdot 13 \cdot 17^{2} \)	\( 2^{8} \cdot 3^{6} \cdot 7^{8} \cdot 13^{2} \cdot 17^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$884$	$12$	$0$	$2.356594185$	$1$		$3$	$401080320$	$4.137978$	$191913220541846010689/249408350464$	$1.00139$	$6.02971$	$[1, -1, 0, -5313528333, 149082269939941]$	\(y^2+xy=x^3-x^2-5313528333x+149082269939941\)	2.3.0.a.1, 34.6.0.a.1, 52.6.0.d.1, 884.12.0.?	$[(34634, 2551067)]$	$1$
473382.u1	473382u1	473382.u	473382u	$1$	$1$	\( 2 \cdot 3^{2} \cdot 7 \cdot 13 \cdot 17^{2} \)	\( - 2^{5} \cdot 3^{9} \cdot 7^{2} \cdot 13^{3} \cdot 17^{4} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$312$	$2$	$0$	$1$	$1$		$0$	$2903040$	$1.717854$	$-88093331713/93012192$	$0.91214$	$3.37968$	$[1, -1, 0, -36468, -4495824]$	\(y^2+xy=x^3-x^2-36468x-4495824\)	312.2.0.?	$[ ]$	$1$
473382.v1	473382v3	473382.v	473382v	$4$	$4$	\( 2 \cdot 3^{2} \cdot 7 \cdot 13 \cdot 17^{2} \)	\( 2 \cdot 3^{8} \cdot 7^{4} \cdot 13^{2} \cdot 17^{10} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.15	2B	$2856$	$48$	$0$	$2.202090948$	$1$		$2$	$51904512$	$3.137264$	$498513145416992497/610024187682$	$1.00135$	$4.92371$	$[1, -1, 0, -42965973, 108297522139]$	\(y^2+xy=x^3-x^2-42965973x+108297522139\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 168.24.0.?, 204.12.0.?, $\ldots$	$[(3141, 64177)]$	$1$
473382.v2	473382v4	473382.v	473382v	$4$	$4$	\( 2 \cdot 3^{2} \cdot 7 \cdot 13 \cdot 17^{2} \)	\( 2 \cdot 3^{8} \cdot 7 \cdot 13^{8} \cdot 17^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.9	2B	$2856$	$48$	$0$	$8.808363793$	$1$		$2$	$51904512$	$3.137264$	$192013151632280497/1747295204382$	$0.94100$	$4.85070$	$[1, -1, 0, -31261473, -66737469929]$	\(y^2+xy=x^3-x^2-31261473x-66737469929\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 84.12.0.?, 168.24.0.?, $\ldots$	$[(16847, 2038019)]$	$1$
473382.v3	473382v2	473382.v	473382v	$4$	$4$	\( 2 \cdot 3^{2} \cdot 7 \cdot 13 \cdot 17^{2} \)	\( 2^{2} \cdot 3^{10} \cdot 7^{2} \cdot 13^{4} \cdot 17^{8} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.3	2Cs	$2856$	$48$	$0$	$4.404181896$	$1$		$6$	$25952256$	$2.790691$	$248063797363537/131042552004$	$0.97694$	$4.34169$	$[1, -1, 0, -3404763, 714767665]$	\(y^2+xy=x^3-x^2-3404763x+714767665\)	2.6.0.a.1, 8.12.0.a.1, 84.12.0.?, 168.24.0.?, 204.12.0.?, $\ldots$	$[(2108, 52811)]$	$1$
473382.v4	473382v1	473382.v	473382v	$4$	$4$	\( 2 \cdot 3^{2} \cdot 7 \cdot 13 \cdot 17^{2} \)	\( - 2^{4} \cdot 3^{14} \cdot 7 \cdot 13^{2} \cdot 17^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.9	2B	$2856$	$48$	$0$	$2.202090948$	$1$		$5$	$12976128$	$2.444118$	$3325964415983/2111172336$	$0.95191$	$4.01172$	$[1, -1, 0, 808857, 86938285]$	\(y^2+xy=x^3-x^2+808857x+86938285\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 84.12.0.?, 168.24.0.?, $\ldots$	$[(-55, 6530)]$	$1$
473382.w1	473382w1	473382.w	473382w	$1$	$1$	\( 2 \cdot 3^{2} \cdot 7 \cdot 13 \cdot 17^{2} \)	\( - 2 \cdot 3^{12} \cdot 7 \cdot 13^{3} \cdot 17^{11} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$12376$	$2$	$0$	$1$	$9$	$3$	$0$	$96215040$	$3.385746$	$-4069400507818743889/31836860010774$	$0.95569$	$5.08541$	$[1, -1, 0, -86511915, -311779687901]$	\(y^2+xy=x^3-x^2-86511915x-311779687901\)	12376.2.0.?	$[ ]$	$1$
473382.x1	473382x2	473382.x	473382x	$2$	$7$	\( 2 \cdot 3^{2} \cdot 7 \cdot 13 \cdot 17^{2} \)	\( - 2 \cdot 3^{7} \cdot 7 \cdot 13^{7} \cdot 17^{6} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.2	7B.6.3	$37128$	$96$	$2$	$1$	$9$	$3$	$0$	$331914240$	$4.012459$	$-5486773802537974663600129/2635437714$	$1.05935$	$6.16448$	$[1, -1, 0, -9557364150, 359631893307694]$	\(y^2+xy=x^3-x^2-9557364150x+359631893307694\)	7.24.0.a.2, 357.48.0.?, 2184.48.2.?, 12376.48.0.?, 37128.96.2.?	$[ ]$	$1$
473382.x2	473382x1	473382.x	473382x	$2$	$7$	\( 2 \cdot 3^{2} \cdot 7 \cdot 13 \cdot 17^{2} \)	\( - 2^{7} \cdot 3^{13} \cdot 7^{7} \cdot 13 \cdot 17^{6} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.1	7B.6.1	$37128$	$96$	$2$	$1$	$9$	$3$	$0$	$47416320$	$3.039505$	$40251338884511/2997011332224$	$1.03878$	$4.57362$	$[1, -1, 0, 1857060, 11005257424]$	\(y^2+xy=x^3-x^2+1857060x+11005257424\)	7.24.0.a.1, 357.48.0.?, 2184.48.2.?, 12376.48.0.?, 37128.96.2.?	$[ ]$	$1$
473382.y1	473382y1	473382.y	473382y	$1$	$1$	\( 2 \cdot 3^{2} \cdot 7 \cdot 13 \cdot 17^{2} \)	\( - 2^{17} \cdot 3^{9} \cdot 7 \cdot 13 \cdot 17^{6} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2184$	$2$	$0$	$10.81409517$	$1$		$0$	$8434176$	$2.280582$	$2284322013/11927552$	$0.95325$	$3.86591$	$[1, -1, 0, 214095, 107945117]$	\(y^2+xy=x^3-x^2+214095x+107945117\)	2184.2.0.?	$[(96241/17, 71402915/17)]$	$1$
473382.z1	473382z1	473382.z	473382z	$1$	$1$	\( 2 \cdot 3^{2} \cdot 7 \cdot 13 \cdot 17^{2} \)	\( - 2^{7} \cdot 3^{12} \cdot 7 \cdot 13 \cdot 17^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$12376$	$2$	$0$	$1$	$1$		$0$	$7741440$	$2.210583$	$-148035889/144353664$	$1.03348$	$3.81354$	$[1, -1, 0, -28665, 76709997]$	\(y^2+xy=x^3-x^2-28665x+76709997\)	12376.2.0.?	$[ ]$	$1$
473382.ba1	473382ba1	473382.ba	473382ba	$1$	$1$	\( 2 \cdot 3^{2} \cdot 7 \cdot 13 \cdot 17^{2} \)	\( - 2^{5} \cdot 3^{9} \cdot 7^{2} \cdot 13^{2} \cdot 17^{2} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24$	$2$	$0$	$2.113123260$	$1$		$10$	$622080$	$1.016537$	$5584653/264992$	$0.85411$	$2.71539$	$[1, -1, 0, 660, 58544]$	\(y^2+xy=x^3-x^2+660x+58544\)	24.2.0.b.1	$[(-23, 187), (29, 304)]$	$1$
473382.bb1	473382bb1	473382.bb	473382bb	$1$	$1$	\( 2 \cdot 3^{2} \cdot 7 \cdot 13 \cdot 17^{2} \)	\( - 2^{13} \cdot 3^{13} \cdot 7^{2} \cdot 13^{4} \cdot 17^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24$	$2$	$0$	$8.052011737$	$1$		$0$	$171085824$	$3.688107$	$-4164351562081/25073110573056$	$1.03447$	$5.17040$	$[1, -1, 0, -5763870, -543302123756]$	\(y^2+xy=x^3-x^2-5763870x-543302123756\)	24.2.0.b.1	$[(41123/2, 5524333/2)]$	$1$
473382.bc1	473382bc1	473382.bc	473382bc	$1$	$1$	\( 2 \cdot 3^{2} \cdot 7 \cdot 13 \cdot 17^{2} \)	\( - 2^{5} \cdot 3^{9} \cdot 7^{2} \cdot 13^{2} \cdot 17^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24$	$2$	$0$	$1$	$1$		$0$	$1935360$	$1.452383$	$-325511540216209/7154784$	$0.92724$	$3.49524$	$[1, -1, 0, -85275, -9563643]$	\(y^2+xy=x^3-x^2-85275x-9563643\)	24.2.0.b.1	$[ ]$	$1$
473382.bd1	473382bd3	473382.bd	473382bd	$3$	$9$	\( 2 \cdot 3^{2} \cdot 7 \cdot 13 \cdot 17^{2} \)	\( - 2 \cdot 3^{6} \cdot 7 \cdot 13 \cdot 17^{6} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	9.12.0.1	3B	$111384$	$144$	$3$	$7.508358274$	$1$		$0$	$16796160$	$2.646370$	$-424962187484640625/182$	$1.05379$	$4.91149$	$[1, -1, 0, -40739517, 100095861667]$	\(y^2+xy=x^3-x^2-40739517x+100095861667\)	3.4.0.a.1, 9.12.0.a.1, 51.8.0-3.a.1.2, 153.24.0.?, 728.2.0.?, $\ldots$	$[(456153/11, 9365446/11)]$	$1$
473382.bd2	473382bd2	473382.bd	473382bd	$3$	$9$	\( 2 \cdot 3^{2} \cdot 7 \cdot 13 \cdot 17^{2} \)	\( - 2^{3} \cdot 3^{6} \cdot 7^{3} \cdot 13^{3} \cdot 17^{6} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.12.0.1	3Cs	$111384$	$144$	$3$	$2.502786091$	$1$		$2$	$5598720$	$2.097065$	$-795309684625/6028568$	$0.94067$	$3.90322$	$[1, -1, 0, -502047, 137938693]$	\(y^2+xy=x^3-x^2-502047x+137938693\)	3.12.0.a.1, 51.24.0-3.a.1.1, 728.2.0.?, 819.36.0.?, 2184.24.1.?, $\ldots$	$[(1203, 35090)]$	$1$
473382.bd3	473382bd1	473382.bd	473382bd	$3$	$9$	\( 2 \cdot 3^{2} \cdot 7 \cdot 13 \cdot 17^{2} \)	\( - 2^{9} \cdot 3^{6} \cdot 7 \cdot 13 \cdot 17^{6} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	9.12.0.1	3B	$111384$	$144$	$3$	$7.508358274$	$1$		$0$	$1866240$	$1.547758$	$37595375/46592$	$0.87083$	$3.15020$	$[1, -1, 0, 18153, 1001245]$	\(y^2+xy=x^3-x^2+18153x+1001245\)	3.4.0.a.1, 9.12.0.a.1, 51.8.0-3.a.1.1, 153.24.0.?, 728.2.0.?, $\ldots$	$[(12973/12, 3090469/12)]$	$1$
473382.be1	473382be3	473382.be	473382be	$4$	$6$	\( 2 \cdot 3^{2} \cdot 7 \cdot 13 \cdot 17^{2} \)	\( 2^{4} \cdot 3^{6} \cdot 7^{6} \cdot 13^{6} \cdot 17^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$2652$	$96$	$1$	$2.207884202$	$1$		$3$	$95551488$	$3.473167$	$6428890034697390625/154460436555152$	$0.99341$	$5.11938$	$[1, -1, 0, -100757592, 381141041008]$	\(y^2+xy=x^3-x^2-100757592x+381141041008\)	2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.1, 34.6.0.a.1, 51.8.0-3.a.1.2, $\ldots$	$[(-8593, 786851)]$	$1$
473382.be2	473382be1	473382.be	473382be	$4$	$6$	\( 2 \cdot 3^{2} \cdot 7 \cdot 13 \cdot 17^{2} \)	\( 2^{12} \cdot 3^{6} \cdot 7^{2} \cdot 13^{2} \cdot 17^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$2652$	$96$	$1$	$6.623652606$	$1$		$1$	$31850496$	$2.923862$	$11762905557390625/166643929088$	$0.96488$	$4.63700$	$[1, -1, 0, -12323592, -16443366080]$	\(y^2+xy=x^3-x^2-12323592x-16443366080\)	2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.3, 34.6.0.a.1, 51.8.0-3.a.1.1, $\ldots$	$[(-8089/2, 122623/2)]$	$1$
473382.be3	473382be2	473382.be	473382be	$4$	$6$	\( 2 \cdot 3^{2} \cdot 7 \cdot 13 \cdot 17^{2} \)	\( - 2^{6} \cdot 3^{6} \cdot 7^{4} \cdot 13 \cdot 17^{12} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$2652$	$96$	$1$	$13.24730521$	$1$		$0$	$63700992$	$3.270435$	$-21357685518625/48217980236608$	$1.00294$	$4.78683$	$[1, -1, 0, -1503432, -44322590336]$	\(y^2+xy=x^3-x^2-1503432x-44322590336\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.5, 51.8.0-3.a.1.1, $\ldots$	$[(3191959/18, 5494663207/18)]$	$1$
473382.be4	473382be4	473382.be	473382be	$4$	$6$	\( 2 \cdot 3^{2} \cdot 7 \cdot 13 \cdot 17^{2} \)	\( - 2^{2} \cdot 3^{6} \cdot 7^{12} \cdot 13^{3} \cdot 17^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$2652$	$96$	$1$	$4.415768404$	$1$		$2$	$191102976$	$3.819744$	$15567882240377375/35153160025570132$	$1.02735$	$5.29122$	$[1, -1, 0, 13530348, 1196448347380]$	\(y^2+xy=x^3-x^2+13530348x+1196448347380\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.11, 51.8.0-3.a.1.2, $\ldots$	$[(89297, 26684528)]$	$1$
473382.bf1	473382bf4	473382.bf	473382bf	$4$	$6$	\( 2 \cdot 3^{2} \cdot 7 \cdot 13 \cdot 17^{2} \)	\( 2^{9} \cdot 3^{9} \cdot 7 \cdot 13^{6} \cdot 17^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$37128$	$96$	$1$	$1$	$1$		$0$	$89579520$	$3.508350$	$681832159429723875/4999492918784$	$0.95605$	$5.19989$	$[1, -1, 0, -143080197, -654522742315]$	\(y^2+xy=x^3-x^2-143080197x-654522742315\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 51.8.0-3.a.1.1, 102.24.0.?, $\ldots$	$[ ]$	$1$
473382.bf2	473382bf2	473382.bf	473382bf	$4$	$6$	\( 2 \cdot 3^{2} \cdot 7 \cdot 13 \cdot 17^{2} \)	\( 2^{3} \cdot 3^{3} \cdot 7^{3} \cdot 13^{2} \cdot 17^{12} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$37128$	$96$	$1$	$1$	$1$		$0$	$29859840$	$2.959042$	$260421323354494875/11193459697784$	$0.95179$	$4.62181$	$[1, -1, 0, -11534622, 14510451724]$	\(y^2+xy=x^3-x^2-11534622x+14510451724\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 51.8.0-3.a.1.2, 102.24.0.?, $\ldots$	$[ ]$	$1$
473382.bf3	473382bf3	473382.bf	473382bf	$4$	$6$	\( 2 \cdot 3^{2} \cdot 7 \cdot 13 \cdot 17^{2} \)	\( - 2^{18} \cdot 3^{9} \cdot 7^{2} \cdot 13^{3} \cdot 17^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$37128$	$96$	$1$	$1$	$1$		$1$	$44789760$	$3.161774$	$-7994001499875/479749996544$	$0.95956$	$4.68696$	$[1, -1, 0, -3250437, -23079512107]$	\(y^2+xy=x^3-x^2-3250437x-23079512107\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 51.8.0-3.a.1.1, 78.24.0.?, $\ldots$	$[ ]$	$1$

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