Elliptic curves over $\Q$ of conductor 1710

Conductor	j-invariant	Rank	Torsion	Complex multiplication
Bad$\ p$	Discriminant	Regulator	Analytic order of Ш	Galois image
Isogeny class size	Isogeny class degree	Cyclic isogeny degree	$p\ $div$\ $|Ш|	Nonmax$\ \ell$
Curves per isogeny class	Reduction	Integral points	Faltings height

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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	Regulator	$Ш_{\textrm{an}}$	Ш primes	Integral points	Modular degree	Faltings height	j-invariant	Weierstrass coefficients	Weierstrass equation
1710.a1	1710a2	1710.a	1710a	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 19 \)	\( 2^{5} \cdot 3^{9} \cdot 5^{4} \cdot 19^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1.707986895$	$1$		$6$	$3840$	$0.954312$	$651038076963/7220000$	$[1, -1, 0, -4875, -128539]$	\(y^2+xy=x^3-x^2-4875x-128539\)
1710.a2	1710a1	1710.a	1710a	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 19 \)	\( 2^{10} \cdot 3^{9} \cdot 5^{2} \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$0.853993447$	$1$		$9$	$1920$	$0.607739$	$961504803/486400$	$[1, -1, 0, -555, 1925]$	\(y^2+xy=x^3-x^2-555x+1925\)
1710.b1	1710c4	1710.b	1710c	$4$	$10$	\( 2 \cdot 3^{2} \cdot 5 \cdot 19 \)	\( 2^{2} \cdot 3^{8} \cdot 5^{2} \cdot 19^{5} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 5$	2.3.0.1, 5.12.0.2	2B, 5B.4.2	$1$	$1$		$0$	$192000$	$3.158134$	$16300610738133468173382620881/2228489100$	$[1, -1, 0, -475411005, 3989926514025]$	\(y^2+xy=x^3-x^2-475411005x+3989926514025\)
1710.b2	1710c3	1710.b	1710c	$4$	$10$	\( 2 \cdot 3^{2} \cdot 5 \cdot 19 \)	\( - 2^{4} \cdot 3^{7} \cdot 5 \cdot 19^{10} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 5$	2.3.0.1, 5.12.0.2	2B, 5B.4.2	$1$	$1$		$1$	$96000$	$2.811562$	$-3979640234041473454886161/1471455901872240$	$[1, -1, 0, -29713185, 62348184621]$	\(y^2+xy=x^3-x^2-29713185x+62348184621\)
1710.b3	1710c2	1710.b	1710c	$4$	$10$	\( 2 \cdot 3^{2} \cdot 5 \cdot 19 \)	\( 2^{10} \cdot 3^{16} \cdot 5^{10} \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 5$	2.3.0.1, 5.12.0.1	2B, 5B.4.1	$1$	$1$		$0$	$38400$	$2.353416$	$75224183150104868881/11219310000000000$	$[1, -1, 0, -791505, 233711325]$	\(y^2+xy=x^3-x^2-791505x+233711325\)
1710.b4	1710c1	1710.b	1710c	$4$	$10$	\( 2 \cdot 3^{2} \cdot 5 \cdot 19 \)	\( - 2^{20} \cdot 3^{11} \cdot 5^{5} \cdot 19^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 5$	2.3.0.1, 5.12.0.1	2B, 5B.4.1	$1$	$1$		$1$	$19200$	$2.006844$	$89962967236397039/287450726400000$	$[1, -1, 0, 84015, 19909341]$	\(y^2+xy=x^3-x^2+84015x+19909341\)
1710.c1	1710f2	1710.c	1710f	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 19 \)	\( 2 \cdot 3^{7} \cdot 5^{2} \cdot 19^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$0.245610612$	$1$		$10$	$768$	$0.252879$	$2992209121/54150$	$[1, -1, 0, -270, 1750]$	\(y^2+xy=x^3-x^2-270x+1750\)
1710.c2	1710f1	1710.c	1710f	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 19 \)	\( - 2^{2} \cdot 3^{8} \cdot 5 \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$0.491221225$	$1$		$9$	$384$	$-0.093694$	$-1/3420$	$[1, -1, 0, 0, 76]$	\(y^2+xy=x^3-x^2+76\)
1710.d1	1710e2	1710.d	1710e	$2$	$3$	\( 2 \cdot 3^{2} \cdot 5 \cdot 19 \)	\( - 2 \cdot 3^{6} \cdot 5^{2} \cdot 19^{3} \)	$1$	$\Z/3\Z$	$\Q$		$\mathrm{SU}(2)$			$3$	3.8.0.1	3B.1.1	$2.228136189$	$1$		$6$	$2160$	$1.020445$	$-2376117230685121/342950$	$[1, -1, 0, -25020, 1529550]$	\(y^2+xy=x^3-x^2-25020x+1529550\)
1710.d2	1710e1	1710.d	1710e	$2$	$3$	\( 2 \cdot 3^{2} \cdot 5 \cdot 19 \)	\( - 2^{3} \cdot 3^{6} \cdot 5^{6} \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.8.0.2	3B.1.2	$0.742712063$	$1$		$4$	$720$	$0.471138$	$-2992209121/2375000$	$[1, -1, 0, -270, 2700]$	\(y^2+xy=x^3-x^2-270x+2700\)
1710.e1	1710g3	1710.e	1710g	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5 \cdot 19 \)	\( 2^{2} \cdot 3^{11} \cdot 5 \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$10.72727366$	$1$		$2$	$30720$	$2.036793$	$13209596798923694545921/92340$	$[1, -1, 0, -4432320, -3590548484]$	\(y^2+xy=x^3-x^2-4432320x-3590548484\)
1710.e2	1710g4	1710.e	1710g	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5 \cdot 19 \)	\( 2^{2} \cdot 3^{26} \cdot 5^{4} \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$2.681818415$	$1$		$2$	$30720$	$2.036793$	$3345930611358906241/165622259047500$	$[1, -1, 0, -280440, -54592700]$	\(y^2+xy=x^3-x^2-280440x-54592700\)
1710.e3	1710g2	1710.e	1710g	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5 \cdot 19 \)	\( 2^{4} \cdot 3^{16} \cdot 5^{2} \cdot 19^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$5.363636831$	$1$		$6$	$15360$	$1.690222$	$3225005357698077121/8526675600$	$[1, -1, 0, -277020, -56050304]$	\(y^2+xy=x^3-x^2-277020x-56050304\)
1710.e4	1710g1	1710.e	1710g	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5 \cdot 19 \)	\( - 2^{8} \cdot 3^{11} \cdot 5 \cdot 19^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$2.681818415$	$1$		$5$	$7680$	$1.343647$	$-758575480593601/40535043840$	$[1, -1, 0, -17100, -895280]$	\(y^2+xy=x^3-x^2-17100x-895280\)
1710.f1	1710d3	1710.f	1710d	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5 \cdot 19 \)	\( 2 \cdot 3^{7} \cdot 5 \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.7	2B	$1$	$4$	$2$	$0$	$3072$	$0.913821$	$3107086841064961/570$	$[1, -1, 0, -27360, -1735074]$	\(y^2+xy=x^3-x^2-27360x-1735074\)
1710.f2	1710d4	1710.f	1710d	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5 \cdot 19 \)	\( 2 \cdot 3^{7} \cdot 5^{4} \cdot 19^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.8	2B	$1$	$1$		$0$	$3072$	$0.913821$	$1177918188481/488703750$	$[1, -1, 0, -1980, -17550]$	\(y^2+xy=x^3-x^2-1980x-17550\)
1710.f3	1710d2	1710.f	1710d	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5 \cdot 19 \)	\( 2^{2} \cdot 3^{8} \cdot 5^{2} \cdot 19^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.1	2Cs	$1$	$1$		$2$	$1536$	$0.567247$	$758800078561/324900$	$[1, -1, 0, -1710, -26784]$	\(y^2+xy=x^3-x^2-1710x-26784\)
1710.f4	1710d1	1710.f	1710d	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5 \cdot 19 \)	\( - 2^{4} \cdot 3^{10} \cdot 5 \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.12	2B	$1$	$1$		$1$	$768$	$0.220674$	$-111284641/123120$	$[1, -1, 0, -90, -540]$	\(y^2+xy=x^3-x^2-90x-540\)
1710.g1	1710k1	1710.g	1710k	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 19 \)	\( - 2^{11} \cdot 3^{6} \cdot 5^{2} \cdot 19 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1$	$1$		$0$	$1232$	$0.444529$	$-11993263569/972800$	$[1, -1, 0, -429, -3547]$	\(y^2+xy=x^3-x^2-429x-3547\)
1710.h1	1710b2	1710.h	1710b	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 19 \)	\( 2^{5} \cdot 3^{3} \cdot 5^{2} \cdot 19^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$0.418160269$	$1$		$8$	$1280$	$0.511304$	$260549802603/104256800$	$[1, -1, 0, -399, 1805]$	\(y^2+xy=x^3-x^2-399x+1805\)
1710.h2	1710b1	1710.h	1710b	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 19 \)	\( - 2^{10} \cdot 3^{3} \cdot 5 \cdot 19^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$0.836320539$	$1$		$7$	$640$	$0.164730$	$2161700757/1848320$	$[1, -1, 0, 81, 173]$	\(y^2+xy=x^3-x^2+81x+173\)
1710.i1	1710h3	1710.i	1710h	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5 \cdot 19 \)	\( 2 \cdot 3^{7} \cdot 5^{8} \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.11	2B	$0.242449802$	$1$		$10$	$2048$	$0.912224$	$26487576322129/44531250$	$[1, -1, 0, -5589, 161995]$	\(y^2+xy=x^3-x^2-5589x+161995\)
1710.i2	1710h2	1710.i	1710h	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5 \cdot 19 \)	\( 2^{2} \cdot 3^{8} \cdot 5^{4} \cdot 19^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.4	2Cs	$0.484899605$	$1$		$18$	$1024$	$0.565650$	$14688124849/8122500$	$[1, -1, 0, -459, 913]$	\(y^2+xy=x^3-x^2-459x+913\)
1710.i3	1710h1	1710.i	1710h	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5 \cdot 19 \)	\( 2^{4} \cdot 3^{7} \cdot 5^{2} \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.11	2B	$0.969799210$	$1$		$7$	$512$	$0.219076$	$3301293169/22800$	$[1, -1, 0, -279, -1715]$	\(y^2+xy=x^3-x^2-279x-1715\)
1710.i4	1710h4	1710.i	1710h	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5 \cdot 19 \)	\( - 2 \cdot 3^{10} \cdot 5^{2} \cdot 19^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.16	2B	$0.969799210$	$1$		$6$	$2048$	$0.912224$	$871257511151/527800050$	$[1, -1, 0, 1791, 5863]$	\(y^2+xy=x^3-x^2+1791x+5863\)
1710.j1	1710j4	1710.j	1710j	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5 \cdot 19 \)	\( 2^{4} \cdot 3^{8} \cdot 5^{18} \cdot 19^{3} \)	$0$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.8.0.1	2B, 3B.1.1	$1$	$1$		$4$	$138240$	$2.815666$	$10993009831928446009969/3767761230468750000$	$[1, -1, 0, -4169079, -2091148947]$	\(y^2+xy=x^3-x^2-4169079x-2091148947\)
1710.j2	1710j2	1710.j	1710j	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5 \cdot 19 \)	\( 2^{12} \cdot 3^{12} \cdot 5^{6} \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.8.0.2	2B, 3B.1.2	$1$	$1$		$0$	$46080$	$2.266361$	$7903870428425797297009/886464000000$	$[1, -1, 0, -3734919, -2777307075]$	\(y^2+xy=x^3-x^2-3734919x-2777307075\)
1710.j3	1710j1	1710.j	1710j	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5 \cdot 19 \)	\( - 2^{24} \cdot 3^{9} \cdot 5^{3} \cdot 19^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.8.0.2	2B, 3B.1.2	$1$	$1$		$1$	$23040$	$1.919786$	$-1914980734749238129/20440940544000$	$[1, -1, 0, -232839, -43583427]$	\(y^2+xy=x^3-x^2-232839x-43583427\)
1710.j4	1710j3	1710.j	1710j	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5 \cdot 19 \)	\( - 2^{8} \cdot 3^{7} \cdot 5^{9} \cdot 19^{6} \)	$0$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.8.0.1	2B, 3B.1.1	$1$	$1$		$5$	$69120$	$2.469093$	$69096190760262356111/70568821500000000$	$[1, -1, 0, 769401, -227366595]$	\(y^2+xy=x^3-x^2+769401x-227366595\)
1710.k1	1710i2	1710.k	1710i	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 19 \)	\( 2 \cdot 3^{13} \cdot 5^{2} \cdot 19^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1$	$1$		$0$	$8960$	$1.517376$	$1403607530712116449/39475350$	$[1, -1, 0, -209934, 37075590]$	\(y^2+xy=x^3-x^2-209934x+37075590\)
1710.k2	1710i1	1710.k	1710i	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 19 \)	\( - 2^{2} \cdot 3^{20} \cdot 5 \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1$	$1$		$1$	$4480$	$1.170803$	$-341370886042369/1817528220$	$[1, -1, 0, -13104, 583308]$	\(y^2+xy=x^3-x^2-13104x+583308\)
1710.l1	1710n4	1710.l	1710n	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5 \cdot 19 \)	\( 2^{2} \cdot 3^{8} \cdot 5 \cdot 19^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$1.534795853$	$1$		$4$	$4096$	$0.953994$	$100162392144121/23457780$	$[1, -1, 1, -8708, 314867]$	\(y^2+xy+y=x^3-x^2-8708x+314867\)
1710.l2	1710n3	1710.l	1710n	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5 \cdot 19 \)	\( 2^{2} \cdot 3^{14} \cdot 5^{4} \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$1.534795853$	$1$		$4$	$4096$	$0.953994$	$9912050027641/311647500$	$[1, -1, 1, -4028, -94669]$	\(y^2+xy+y=x^3-x^2-4028x-94669\)
1710.l3	1710n2	1710.l	1710n	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5 \cdot 19 \)	\( 2^{4} \cdot 3^{10} \cdot 5^{2} \cdot 19^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$0.767397926$	$1$		$12$	$2048$	$0.607420$	$34043726521/11696400$	$[1, -1, 1, -608, 3827]$	\(y^2+xy+y=x^3-x^2-608x+3827\)
1710.l4	1710n1	1710.l	1710n	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5 \cdot 19 \)	\( - 2^{8} \cdot 3^{8} \cdot 5 \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$0.383698963$	$1$		$11$	$1024$	$0.260847$	$214921799/218880$	$[1, -1, 1, 112, 371]$	\(y^2+xy+y=x^3-x^2+112x+371\)
1710.m1	1710l2	1710.m	1710l	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 19 \)	\( 2^{5} \cdot 3^{9} \cdot 5^{2} \cdot 19^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$0.295123944$	$1$		$12$	$3840$	$1.060610$	$260549802603/104256800$	$[1, -1, 1, -3593, -45143]$	\(y^2+xy+y=x^3-x^2-3593x-45143\)
1710.m2	1710l1	1710.m	1710l	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 19 \)	\( - 2^{10} \cdot 3^{9} \cdot 5 \cdot 19^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$0.590247888$	$1$		$9$	$1920$	$0.714036$	$2161700757/1848320$	$[1, -1, 1, 727, -5399]$	\(y^2+xy+y=x^3-x^2+727x-5399\)
1710.n1	1710p2	1710.n	1710p	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 19 \)	\( 2^{2} \cdot 3^{8} \cdot 5^{6} \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1$	$1$		$0$	$1536$	$0.797372$	$6947097508441/10687500$	$[1, -1, 1, -3578, -81363]$	\(y^2+xy+y=x^3-x^2-3578x-81363\)
1710.n2	1710p1	1710.n	1710p	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 19 \)	\( - 2^{4} \cdot 3^{7} \cdot 5^{3} \cdot 19^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1$	$1$		$1$	$768$	$0.450798$	$-594823321/2166000$	$[1, -1, 1, -158, -2019]$	\(y^2+xy+y=x^3-x^2-158x-2019\)
1710.o1	1710o4	1710.o	1710o	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5 \cdot 19 \)	\( 2^{9} \cdot 3^{7} \cdot 5^{2} \cdot 19^{6} \)	$0$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.8.0.1	2B, 3B.1.1	$1$	$1$		$4$	$6912$	$1.668406$	$46237740924063961/1806561830400$	$[1, -1, 1, -67298, 6505697]$	\(y^2+xy+y=x^3-x^2-67298x+6505697\)
1710.o2	1710o2	1710.o	1710o	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5 \cdot 19 \)	\( 2^{3} \cdot 3^{9} \cdot 5^{6} \cdot 19^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.8.0.2	2B, 3B.1.2	$1$	$1$		$0$	$2304$	$1.119099$	$148212258825961/1218375000$	$[1, -1, 1, -9923, -375253]$	\(y^2+xy+y=x^3-x^2-9923x-375253\)
1710.o3	1710o1	1710.o	1710o	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5 \cdot 19 \)	\( - 2^{6} \cdot 3^{12} \cdot 5^{3} \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.8.0.2	2B, 3B.1.2	$1$	$1$		$1$	$1152$	$0.772526$	$-1263214441/110808000$	$[1, -1, 1, -203, -13669]$	\(y^2+xy+y=x^3-x^2-203x-13669\)
1710.o4	1710o3	1710.o	1710o	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5 \cdot 19 \)	\( - 2^{18} \cdot 3^{8} \cdot 5 \cdot 19^{3} \)	$0$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.8.0.1	2B, 3B.1.1	$1$	$1$		$5$	$3456$	$1.321833$	$918046641959/80912056320$	$[1, -1, 1, 1822, 367841]$	\(y^2+xy+y=x^3-x^2+1822x+367841\)
1710.p1	1710m2	1710.p	1710m	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 19 \)	\( 2^{5} \cdot 3^{3} \cdot 5^{4} \cdot 19^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$0.108207119$	$1$		$14$	$1280$	$0.405006$	$651038076963/7220000$	$[1, -1, 1, -542, 4941]$	\(y^2+xy+y=x^3-x^2-542x+4941\)
1710.p2	1710m1	1710.p	1710m	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 19 \)	\( 2^{10} \cdot 3^{3} \cdot 5^{2} \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$0.216414238$	$1$		$13$	$640$	$0.058433$	$961504803/486400$	$[1, -1, 1, -62, -51]$	\(y^2+xy+y=x^3-x^2-62x-51\)
1710.q1	1710t2	1710.q	1710t	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 19 \)	\( 2^{7} \cdot 3^{7} \cdot 5^{6} \cdot 19^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$0.055865623$	$1$		$24$	$5376$	$1.218822$	$882774443450089/2166000000$	$[1, -1, 1, -17987, 931011]$	\(y^2+xy+y=x^3-x^2-17987x+931011\)
1710.q2	1710t1	1710.q	1710t	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 19 \)	\( - 2^{14} \cdot 3^{8} \cdot 5^{3} \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$0.111731246$	$1$		$19$	$2688$	$0.872250$	$-53540005609/350208000$	$[1, -1, 1, -707, 25539]$	\(y^2+xy+y=x^3-x^2-707x+25539\)
1710.r1	1710q1	1710.r	1710q	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 19 \)	\( - 2 \cdot 3^{6} \cdot 5^{2} \cdot 19 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1$	$1$		$0$	$240$	$-0.195658$	$357911/950$	$[1, -1, 1, 13, -39]$	\(y^2+xy+y=x^3-x^2+13x-39\)
1710.s1	1710r2	1710.s	1710r	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 19 \)	\( 2^{4} \cdot 3^{12} \cdot 5^{2} \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1$	$1$		$0$	$3072$	$0.993297$	$468898230633769/5540400$	$[1, -1, 1, -14567, -673041]$	\(y^2+xy+y=x^3-x^2-14567x-673041\)
1710.s2	1710r1	1710.s	1710r	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 19 \)	\( - 2^{8} \cdot 3^{9} \cdot 5 \cdot 19^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1$	$1$		$1$	$1536$	$0.646724$	$-105756712489/12476160$	$[1, -1, 1, -887, -10929]$	\(y^2+xy+y=x^3-x^2-887x-10929\)