Elliptic curves over $\Q$ of conductor 76230

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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
76230.a1	76230x1	76230.a	76230x	$2$	$3$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11^{2} \)	\( - 2 \cdot 3^{6} \cdot 5^{6} \cdot 7^{3} \cdot 11^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$1848$	$16$	$0$	$1.900981824$	$1$		$4$	$155520$	$0.982967$	$-2509090441/10718750$	$0.91263$	$3.12740$	$[1, -1, 0, -1260, 50166]$	\(y^2+xy=x^3-x^2-1260x+50166\)	3.4.0.a.1, 33.8.0-3.a.1.1, 56.2.0.b.1, 168.8.0.?, 1848.16.0.?	$[(-47, 86)]$
76230.a2	76230x2	76230.a	76230x	$2$	$3$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11^{2} \)	\( - 2^{3} \cdot 3^{6} \cdot 5^{2} \cdot 7^{9} \cdot 11^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$1848$	$16$	$0$	$5.702945474$	$1$		$0$	$466560$	$1.532274$	$1721540467559/8070721400$	$0.96376$	$3.69363$	$[1, -1, 0, 11115, -1204659]$	\(y^2+xy=x^3-x^2+11115x-1204659\)	3.4.0.a.1, 33.8.0-3.a.1.2, 56.2.0.b.1, 168.8.0.?, 1848.16.0.?	$[(307/2, 2173/2)]$
76230.b1	76230v1	76230.b	76230v	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11^{2} \)	\( - 2^{5} \cdot 3^{13} \cdot 5^{5} \cdot 7^{3} \cdot 11^{10} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$840$	$2$	$0$	$67.42163924$	$1$		$0$	$39916800$	$3.834805$	$-15491003951990952121/75014100000$	$1.02835$	$6.65012$	$[1, -1, 0, -1383577245, -19808311785179]$	\(y^2+xy=x^3-x^2-1383577245x-19808311785179\)	840.2.0.?	$[(3652749449071532174204533457255/3506388963683, 6917194220271173736824797821290617878934726123/3506388963683)]$
76230.c1	76230t8	76230.c	76230t	$8$	$12$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11^{2} \)	\( 2^{6} \cdot 3^{7} \cdot 5^{4} \cdot 7^{3} \cdot 11^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.1, 3.4.0.1	2B, 3B	$9240$	$384$	$5$	$10.21756736$	$1$		$0$	$13271040$	$3.250519$	$4791901410190533590281/41160000$	$1.06333$	$6.30700$	$[1, -1, 0, -382492215, -2879171871075]$	\(y^2+xy=x^3-x^2-382492215x-2879171871075\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.4, $\ldots$	$[(91735/2, 5034615/2)]$
76230.c2	76230t6	76230.c	76230t	$8$	$12$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11^{2} \)	\( 2^{12} \cdot 3^{8} \cdot 5^{2} \cdot 7^{6} \cdot 11^{6} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.6.0.1, 3.4.0.1	2Cs, 3B	$4620$	$384$	$5$	$5.108783682$	$1$		$4$	$6635520$	$2.903946$	$1169975873419524361/108425318400$	$1.03966$	$5.56710$	$[1, -1, 0, -23906295, -44980476579]$	\(y^2+xy=x^3-x^2-23906295x-44980476579\)	2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 12.48.0.a.2, 20.12.0.a.1, $\ldots$	$[(12558, 1272441)]$
76230.c3	76230t7	76230.c	76230t	$8$	$12$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11^{2} \)	\( - 2^{6} \cdot 3^{10} \cdot 5 \cdot 7^{12} \cdot 11^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.1, 3.4.0.1	2B, 3B	$9240$	$384$	$5$	$10.21756736$	$1$		$0$	$13271040$	$3.250519$	$-932348627918877961/358766164249920$	$1.04500$	$5.59225$	$[1, -1, 0, -22163895, -51816608739]$	\(y^2+xy=x^3-x^2-22163895x-51816608739\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.2, $\ldots$	$[(200565/4, 81557829/4)]$
76230.c4	76230t5	76230.c	76230t	$8$	$12$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11^{2} \)	\( 2^{2} \cdot 3^{9} \cdot 5^{12} \cdot 7 \cdot 11^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.1, 3.4.0.1	2B, 3B	$9240$	$384$	$5$	$3.405855788$	$1$		$6$	$4423680$	$2.701214$	$9150443179640281/184570312500$	$1.02214$	$5.13558$	$[1, -1, 0, -4745340, -3907631700]$	\(y^2+xy=x^3-x^2-4745340x-3907631700\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.3, $\ldots$	$[(-1119, 15)]$
76230.c5	76230t3	76230.c	76230t	$8$	$12$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11^{2} \)	\( 2^{24} \cdot 3^{7} \cdot 5 \cdot 7^{3} \cdot 11^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.1, 3.4.0.1	2B, 3B	$9240$	$384$	$5$	$10.21756736$	$1$		$1$	$3317760$	$2.557373$	$353108405631241/86318776320$	$1.01547$	$4.84604$	$[1, -1, 0, -1603575, -593603235]$	\(y^2+xy=x^3-x^2-1603575x-593603235\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.24.0.g.1, $\ldots$	$[(256657/8, 121701373/8)]$
76230.c6	76230t2	76230.c	76230t	$8$	$12$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11^{2} \)	\( 2^{4} \cdot 3^{12} \cdot 5^{6} \cdot 7^{2} \cdot 11^{6} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.6.0.1, 3.4.0.1	2Cs, 3B	$4620$	$384$	$5$	$1.702927894$	$1$		$14$	$2211840$	$2.354637$	$21302308926361/8930250000$	$1.01362$	$4.59626$	$[1, -1, 0, -628920, 100938096]$	\(y^2+xy=x^3-x^2-628920x+100938096\)	2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 12.48.0.a.1, 20.12.0.a.1, $\ldots$	$[(-228, 15360)]$
76230.c7	76230t1	76230.c	76230t	$8$	$12$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11^{2} \)	\( 2^{8} \cdot 3^{9} \cdot 5^{3} \cdot 7 \cdot 11^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.1, 3.4.0.1	2B, 3B	$9240$	$384$	$5$	$3.405855788$	$1$		$5$	$1105920$	$2.008064$	$13619385906841/6048000$	$0.98997$	$4.55647$	$[1, -1, 0, -541800, 153576000]$	\(y^2+xy=x^3-x^2-541800x+153576000\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.24.0.g.1, $\ldots$	$[(553, 4503)]$
76230.c8	76230t4	76230.c	76230t	$8$	$12$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11^{2} \)	\( - 2^{2} \cdot 3^{18} \cdot 5^{3} \cdot 7^{4} \cdot 11^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.1, 3.4.0.1	2B, 3B	$9240$	$384$	$5$	$3.405855788$	$1$		$4$	$4423680$	$2.701214$	$785793873833639/637994920500$	$1.03472$	$4.91720$	$[1, -1, 0, 2093580, 739636596]$	\(y^2+xy=x^3-x^2+2093580x+739636596\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.1, $\ldots$	$[(1147, 67610)]$
76230.d1	76230b4	76230.d	76230b	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11^{2} \)	\( 2^{2} \cdot 3^{9} \cdot 5^{3} \cdot 7^{6} \cdot 11^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$4620$	$96$	$1$	$1$	$1$		$0$	$4976640$	$2.773308$	$1917114236485083/7117764500$	$0.99287$	$5.28972$	$[1, -1, 0, -8455200, 9434820500]$	\(y^2+xy=x^3-x^2-8455200x+9434820500\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 33.8.0-3.a.1.1, 60.24.0.r.1, $\ldots$	$[ ]$
76230.d2	76230b2	76230.d	76230b	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11^{2} \)	\( 2^{6} \cdot 3^{3} \cdot 5 \cdot 7^{2} \cdot 11^{12} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$4620$	$96$	$1$	$1$	$1$		$0$	$1658880$	$2.224003$	$382704614800227/27778076480$	$0.98588$	$4.56002$	$[1, -1, 0, -549060, -146308464]$	\(y^2+xy=x^3-x^2-549060x-146308464\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 33.8.0-3.a.1.2, 60.24.0.r.1, $\ldots$	$[ ]$
76230.d3	76230b3	76230.d	76230b	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11^{2} \)	\( - 2^{4} \cdot 3^{9} \cdot 5^{6} \cdot 7^{3} \cdot 11^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$4620$	$96$	$1$	$1$	$1$		$1$	$2488320$	$2.426735$	$-75526045083/943250000$	$0.94446$	$4.66483$	$[1, -1, 0, -287700, 282320000]$	\(y^2+xy=x^3-x^2-287700x+282320000\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 33.8.0-3.a.1.1, 42.24.0-6.a.1.2, $\ldots$	$[ ]$
76230.d4	76230b1	76230.d	76230b	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11^{2} \)	\( - 2^{12} \cdot 3^{3} \cdot 5^{2} \cdot 7 \cdot 11^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$4620$	$96$	$1$	$1$	$1$		$1$	$829440$	$1.877428$	$73929353373/954060800$	$0.94486$	$4.07136$	$[1, -1, 0, 31740, -10052784]$	\(y^2+xy=x^3-x^2+31740x-10052784\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 33.8.0-3.a.1.2, 42.24.0-6.a.1.1, $\ldots$	$[ ]$
76230.e1	76230a2	76230.e	76230a	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11^{2} \)	\( 2 \cdot 3^{9} \cdot 5 \cdot 7^{6} \cdot 11^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9240$	$12$	$0$	$7.893911488$	$1$		$2$	$2128896$	$2.521221$	$10896752313/1176490$	$0.95458$	$4.85525$	$[1, -1, 0, -1659840, 742764446]$	\(y^2+xy=x^3-x^2-1659840x+742764446\)	2.3.0.a.1, 280.6.0.?, 924.6.0.?, 1320.6.0.?, 9240.12.0.?	$[(2525, 111189)]$
76230.e2	76230a1	76230.e	76230a	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11^{2} \)	\( - 2^{2} \cdot 3^{9} \cdot 5^{2} \cdot 7^{3} \cdot 11^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9240$	$12$	$0$	$3.946955744$	$1$		$5$	$1064448$	$2.174648$	$6128487/34300$	$0.92969$	$4.38171$	$[1, -1, 0, 137010, 57445856]$	\(y^2+xy=x^3-x^2+137010x+57445856\)	2.3.0.a.1, 280.6.0.?, 462.6.0.?, 1320.6.0.?, 9240.12.0.?	$[(-137, 6076)]$
76230.f1	76230n2	76230.f	76230n	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11^{2} \)	\( 2^{3} \cdot 3^{14} \cdot 5^{2} \cdot 7 \cdot 11^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3080$	$12$	$0$	$1$	$1$		$0$	$2433024$	$2.547604$	$2703627633491/9185400$	$0.94170$	$5.05255$	$[1, -1, 0, -3476655, 2488649125]$	\(y^2+xy=x^3-x^2-3476655x+2488649125\)	2.3.0.a.1, 220.6.0.?, 280.6.0.?, 616.6.0.?, 3080.12.0.?	$[ ]$
76230.f2	76230n1	76230.f	76230n	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11^{2} \)	\( - 2^{6} \cdot 3^{10} \cdot 5 \cdot 7^{2} \cdot 11^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3080$	$12$	$0$	$1$	$1$		$1$	$1216512$	$2.201031$	$-118370771/1270080$	$0.91661$	$4.42419$	$[1, -1, 0, -122535, 73011901]$	\(y^2+xy=x^3-x^2-122535x+73011901\)	2.3.0.a.1, 110.6.0.?, 280.6.0.?, 616.6.0.?, 3080.12.0.?	$[ ]$
76230.g1	76230o1	76230.g	76230o	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11^{2} \)	\( 2^{6} \cdot 3^{8} \cdot 5^{5} \cdot 7 \cdot 11^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9240$	$12$	$0$	$1$	$1$		$1$	$276480$	$1.419460$	$9925899473771/12600000$	$0.95054$	$3.88840$	$[1, -1, 0, -44325, -3576875]$	\(y^2+xy=x^3-x^2-44325x-3576875\)	2.3.0.a.1, 264.6.0.?, 770.6.0.?, 840.6.0.?, 9240.12.0.?	$[ ]$
76230.g2	76230o2	76230.g	76230o	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11^{2} \)	\( - 2^{3} \cdot 3^{7} \cdot 5^{10} \cdot 7^{2} \cdot 11^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9240$	$12$	$0$	$1$	$1$		$0$	$552960$	$1.766033$	$-3892861862891/11484375000$	$0.97436$	$3.96597$	$[1, -1, 0, -32445, -5546579]$	\(y^2+xy=x^3-x^2-32445x-5546579\)	2.3.0.a.1, 264.6.0.?, 840.6.0.?, 1540.6.0.?, 9240.12.0.?	$[ ]$
76230.h1	76230r2	76230.h	76230r	$2$	$3$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11^{2} \)	\( - 2^{3} \cdot 3^{6} \cdot 5 \cdot 7^{3} \cdot 11^{10} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$9240$	$16$	$0$	$37.53852718$	$1$		$0$	$1710720$	$2.398045$	$-209611155721/13720$	$0.93536$	$5.03840$	$[1, -1, 0, -3296970, -2303508564]$	\(y^2+xy=x^3-x^2-3296970x-2303508564\)	3.4.0.a.1, 33.8.0-3.a.1.2, 280.2.0.?, 840.8.0.?, 9240.16.0.?	$[(57354445845264885/1659724, 13633757861428616783791299/1659724)]$
76230.h2	76230r1	76230.h	76230r	$2$	$3$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11^{2} \)	\( - 2 \cdot 3^{6} \cdot 5^{3} \cdot 7 \cdot 11^{10} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$9240$	$16$	$0$	$12.51284239$	$1$		$0$	$570240$	$1.848738$	$-121/1750$	$0.98133$	$4.04685$	$[1, -1, 0, -2745, -8751429]$	\(y^2+xy=x^3-x^2-2745x-8751429\)	3.4.0.a.1, 33.8.0-3.a.1.1, 280.2.0.?, 840.8.0.?, 9240.16.0.?	$[(531525/44, 272531499/44)]$
76230.i1	76230s8	76230.i	76230s	$8$	$12$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11^{2} \)	\( 2^{3} \cdot 3^{7} \cdot 5 \cdot 7^{3} \cdot 11^{18} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.1, 3.4.0.1	2B, 3B	$9240$	$384$	$5$	$19.41056350$	$1$		$0$	$26542080$	$3.779533$	$1864737106103260904761/129177711985836360$	$1.00993$	$6.22305$	$[1, -1, 0, -279249570, 1685267693676]$	\(y^2+xy=x^3-x^2-279249570x+1685267693676\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.24.0.g.1, $\ldots$	$[(266410195/34, 4332685208681/34)]$
76230.i2	76230s5	76230.i	76230s	$8$	$12$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11^{2} \)	\( 2 \cdot 3^{9} \cdot 5^{3} \cdot 7 \cdot 11^{10} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.1, 3.4.0.1	2B, 3B	$9240$	$384$	$5$	$6.470187833$	$1$		$0$	$8847360$	$3.230228$	$1769857772964702379561/691787250$	$1.00843$	$6.21840$	$[1, -1, 0, -274430745, 1749904259571]$	\(y^2+xy=x^3-x^2-274430745x+1749904259571\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.24.0.g.1, $\ldots$	$[(38275/2, -32663/2)]$
76230.i3	76230s6	76230.i	76230s	$8$	$12$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11^{2} \)	\( 2^{6} \cdot 3^{8} \cdot 5^{2} \cdot 7^{6} \cdot 11^{12} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.6.0.1, 3.4.0.1	2Cs, 3B	$9240$	$384$	$5$	$9.705281750$	$1$		$2$	$13271040$	$3.432961$	$14351050585434661561/3001282273281600$	$0.99618$	$5.79009$	$[1, -1, 0, -55133370, -125904965004]$	\(y^2+xy=x^3-x^2-55133370x-125904965004\)	2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 12.48.0-6.a.1.6, 24.96.0-24.o.1.21, $\ldots$	$[(921075/2, 882593337/2)]$
76230.i4	76230s3	76230.i	76230s	$8$	$12$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11^{2} \)	\( 2^{12} \cdot 3^{10} \cdot 5 \cdot 7^{3} \cdot 11^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.1, 3.4.0.1	2B, 3B	$9240$	$384$	$5$	$19.41056350$	$1$		$1$	$6635520$	$3.086388$	$12038605770121350841/757333463040$	$0.99047$	$5.77446$	$[1, -1, 0, -51997050, -144295718220]$	\(y^2+xy=x^3-x^2-51997050x-144295718220\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0-12.g.1.5, $\ldots$	$[(-11360472284/1649, -725014784370/1649)]$
76230.i5	76230s2	76230.i	76230s	$8$	$12$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11^{2} \)	\( 2^{2} \cdot 3^{12} \cdot 5^{6} \cdot 7^{2} \cdot 11^{8} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.6.0.1, 3.4.0.1	2Cs, 3B	$9240$	$384$	$5$	$3.235093916$	$1$		$6$	$4423680$	$2.883656$	$432288716775559561/270140062500$	$0.97652$	$5.47853$	$[1, -1, 0, -17154495, 27336855321]$	\(y^2+xy=x^3-x^2-17154495x+27336855321\)	2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 12.48.0-6.a.1.6, 24.96.0-24.o.2.13, $\ldots$	$[(2218, 12891)]$
76230.i6	76230s4	76230.i	76230s	$8$	$12$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11^{2} \)	\( - 2 \cdot 3^{9} \cdot 5^{12} \cdot 7^{4} \cdot 11^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.1, 3.4.0.1	2B, 3B	$9240$	$384$	$5$	$6.470187833$	$1$		$0$	$8847360$	$3.230228$	$-230979395175477481/348191894531250$	$0.98944$	$5.53684$	$[1, -1, 0, -13920165, 37957748175]$	\(y^2+xy=x^3-x^2-13920165x+37957748175\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0-12.g.1.3, $\ldots$	$[(-1341/2, 1652265/2)]$
76230.i7	76230s1	76230.i	76230s	$8$	$12$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11^{2} \)	\( 2^{4} \cdot 3^{18} \cdot 5^{3} \cdot 7 \cdot 11^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.1, 3.4.0.1	2B, 3B	$9240$	$384$	$5$	$6.470187833$	$1$		$3$	$2211840$	$2.537083$	$178272935636041/81841914000$	$0.95663$	$4.78525$	$[1, -1, 0, -1276875, 252811125]$	\(y^2+xy=x^3-x^2-1276875x+252811125\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0-12.g.1.5, $\ldots$	$[(-194, 22305)]$
76230.i8	76230s7	76230.i	76230s	$8$	$12$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11^{2} \)	\( - 2^{3} \cdot 3^{7} \cdot 5^{4} \cdot 7^{12} \cdot 11^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.1, 3.4.0.1	2B, 3B	$9240$	$384$	$5$	$19.41056350$	$1$		$0$	$26542080$	$3.779533$	$143584693754978072519/276341298967965000$	$1.01644$	$6.07005$	$[1, -1, 0, 118801710, -760107053700]$	\(y^2+xy=x^3-x^2+118801710x-760107053700\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0-12.g.1.3, $\ldots$	$[(8660772531/194, 806036913744345/194)]$
76230.j1	76230p2	76230.j	76230p	$2$	$3$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11^{2} \)	\( - 2^{27} \cdot 3^{9} \cdot 5^{2} \cdot 7^{3} \cdot 11^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$1848$	$16$	$0$	$9.217642663$	$1$		$0$	$2239488$	$2.489326$	$-60466777106735857561/31074759475200$	$1.07162$	$5.06489$	$[1, -1, 0, -3640005, -2673289899]$	\(y^2+xy=x^3-x^2-3640005x-2673289899\)	3.4.0.a.1, 33.8.0-3.a.1.2, 168.8.0.?, 1848.16.0.?	$[(136413/4, 48718539/4)]$
76230.j2	76230p1	76230.j	76230p	$2$	$3$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11^{2} \)	\( - 2^{9} \cdot 3^{15} \cdot 5^{6} \cdot 7 \cdot 11^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$1848$	$16$	$0$	$3.072547554$	$1$		$2$	$746496$	$1.940022$	$55476504148439/1102248000000$	$1.07681$	$4.14010$	$[1, -1, 0, 35370, -14790924]$	\(y^2+xy=x^3-x^2+35370x-14790924\)	3.4.0.a.1, 33.8.0-3.a.1.1, 168.8.0.?, 1848.16.0.?	$[(8433, 770346)]$
76230.k1	76230q4	76230.k	76230q	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11^{2} \)	\( 2^{2} \cdot 3^{8} \cdot 5^{4} \cdot 7^{4} \cdot 11^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$9240$	$48$	$0$	$0.870196759$	$1$		$8$	$1966080$	$2.379883$	$1080077156587801/594247500$	$0.94602$	$4.94550$	$[1, -1, 0, -2327760, 1366890916]$	\(y^2+xy=x^3-x^2-2327760x+1366890916\)	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 44.12.0.h.1, 132.24.0.?, $\ldots$	$[(762, 5548)]$
76230.k2	76230q2	76230.k	76230q	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11^{2} \)	\( 2^{4} \cdot 3^{10} \cdot 5^{2} \cdot 7^{2} \cdot 11^{8} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$4620$	$48$	$0$	$1.740393518$	$1$		$12$	$983040$	$2.033310$	$432252699481/192099600$	$0.91312$	$4.24955$	$[1, -1, 0, -171540, 13216000]$	\(y^2+xy=x^3-x^2-171540x+13216000\)	2.6.0.a.1, 12.12.0-2.a.1.1, 44.12.0.a.1, 132.24.0.?, 140.12.0.?, $\ldots$	$[(36, 2644)]$
76230.k3	76230q1	76230.k	76230q	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11^{2} \)	\( 2^{8} \cdot 3^{8} \cdot 5 \cdot 7 \cdot 11^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$9240$	$48$	$0$	$3.480787037$	$1$		$5$	$491520$	$1.686735$	$51520374361/887040$	$1.02035$	$4.06033$	$[1, -1, 0, -84420, -9278384]$	\(y^2+xy=x^3-x^2-84420x-9278384\)	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 88.12.0.?, 264.24.0.?, $\ldots$	$[(-168, 460)]$
76230.k4	76230q3	76230.k	76230q	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11^{2} \)	\( - 2^{2} \cdot 3^{14} \cdot 5 \cdot 7 \cdot 11^{10} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$9240$	$48$	$0$	$3.480787037$	$1$		$4$	$1966080$	$2.379883$	$17655210697319/13448344140$	$0.94443$	$4.57955$	$[1, -1, 0, 590760, 98136220]$	\(y^2+xy=x^3-x^2+590760x+98136220\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 70.6.0.a.1, 88.12.0.?, $\ldots$	$[(23, 10559)]$
76230.l1	76230u1	76230.l	76230u	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11^{2} \)	\( - 2^{11} \cdot 3^{6} \cdot 5^{2} \cdot 7 \cdot 11^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$56$	$2$	$0$	$1.903942928$	$1$		$2$	$147840$	$1.110949$	$-11437987859001/358400$	$1.06197$	$3.68771$	$[1, -1, 0, -20895, 1167821]$	\(y^2+xy=x^3-x^2-20895x+1167821\)	56.2.0.b.1	$[(83, -29)]$
76230.m1	76230w1	76230.m	76230w	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11^{2} \)	\( - 2^{3} \cdot 3^{11} \cdot 5^{2} \cdot 7^{5} \cdot 11^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$168$	$2$	$0$	$5.169104887$	$1$		$2$	$2534400$	$2.547401$	$1399064033279/816820200$	$1.00312$	$4.78064$	$[1, -1, 0, 1255050, -51264900]$	\(y^2+xy=x^3-x^2+1255050x-51264900\)	168.2.0.?	$[(4065, 266685)]$
76230.n1	76230y4	76230.n	76230y	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11^{2} \)	\( 2^{4} \cdot 3^{6} \cdot 5 \cdot 7^{2} \cdot 11^{10} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$1320$	$48$	$0$	$8.597589793$	$1$		$2$	$3932160$	$2.703648$	$1010962818911303721/57392720$	$1.00694$	$5.55410$	$[1, -1, 0, -22770105, -41815426339]$	\(y^2+xy=x^3-x^2-22770105x-41815426339\)	2.3.0.a.1, 4.6.0.c.1, 10.6.0.a.1, 20.12.0.g.1, 24.12.0-4.c.1.3, $\ldots$	$[(13501, 1446367)]$
76230.n2	76230y3	76230.n	76230y	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11^{2} \)	\( 2^{4} \cdot 3^{6} \cdot 5^{4} \cdot 7^{8} \cdot 11^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$1320$	$48$	$0$	$2.149397448$	$1$		$2$	$3932160$	$2.703648$	$1160306142246441/634128110000$	$1.01881$	$4.95187$	$[1, -1, 0, -2384025, 334728125]$	\(y^2+xy=x^3-x^2-2384025x+334728125\)	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 40.12.0.z.1, 44.12.0.h.1, $\ldots$	$[(-250, 30375)]$
76230.n3	76230y2	76230.n	76230y	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11^{2} \)	\( 2^{8} \cdot 3^{6} \cdot 5^{2} \cdot 7^{4} \cdot 11^{8} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$660$	$48$	$0$	$4.298794896$	$1$		$6$	$1966080$	$2.357075$	$248158561089321/1859334400$	$0.99943$	$4.81467$	$[1, -1, 0, -1425705, -650616499]$	\(y^2+xy=x^3-x^2-1425705x-650616499\)	2.6.0.a.1, 12.12.0-2.a.1.1, 20.12.0.b.1, 44.12.0.a.1, 60.24.0-20.b.1.3, $\ldots$	$[(1741, 45412)]$
76230.n4	76230y1	76230.n	76230y	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11^{2} \)	\( - 2^{16} \cdot 3^{6} \cdot 5 \cdot 7^{2} \cdot 11^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$1320$	$48$	$0$	$8.597589793$	$1$		$1$	$983040$	$2.010502$	$-2749884201/176619520$	$1.01909$	$4.21938$	$[1, -1, 0, -31785, -23073715]$	\(y^2+xy=x^3-x^2-31785x-23073715\)	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 40.12.0.z.1, 88.12.0.?, $\ldots$	$[(82034/5, 23245667/5)]$
76230.o1	76230f1	76230.o	76230f	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11^{2} \)	\( - 2^{11} \cdot 3^{3} \cdot 5 \cdot 7 \cdot 11^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$840$	$2$	$0$	$2.533061351$	$1$		$2$	$29568$	$0.296080$	$-39397347/71680$	$0.84930$	$2.40203$	$[1, -1, 0, -105, -819]$	\(y^2+xy=x^3-x^2-105x-819\)	840.2.0.?	$[(15, 21)]$
76230.p1	76230g1	76230.p	76230g	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11^{2} \)	\( 2^{14} \cdot 3^{9} \cdot 5 \cdot 7^{5} \cdot 11^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$840$	$12$	$0$	$1.802514758$	$1$		$7$	$4300800$	$2.653858$	$551105805571803/1376829440$	$1.06833$	$5.17883$	$[1, -1, 0, -5580240, 5064162560]$	\(y^2+xy=x^3-x^2-5580240x+5064162560\)	2.3.0.a.1, 24.6.0.c.1, 210.6.0.?, 280.6.0.?, 840.12.0.?	$[(1433, 2248)]$
76230.p2	76230g2	76230.p	76230g	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11^{2} \)	\( - 2^{7} \cdot 3^{9} \cdot 5^{2} \cdot 7^{10} \cdot 11^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$840$	$12$	$0$	$0.901257379$	$1$		$8$	$8601600$	$3.000435$	$-134745327251163/903920796800$	$1.10388$	$5.27886$	$[1, -1, 0, -3489360, 8903436416]$	\(y^2+xy=x^3-x^2-3489360x+8903436416\)	2.3.0.a.1, 24.6.0.b.1, 280.6.0.?, 420.6.0.?, 840.12.0.?	$[(1015, 79534)]$
76230.q1	76230bj1	76230.q	76230bj	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11^{2} \)	\( - 2^{5} \cdot 3^{9} \cdot 5^{2} \cdot 7 \cdot 11^{4} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$168$	$2$	$0$	$1$	$1$		$0$	$138240$	$1.042461$	$-214358881/151200$	$1.12659$	$3.21695$	$[1, -1, 0, -2745, -81779]$	\(y^2+xy=x^3-x^2-2745x-81779\)	168.2.0.?	$[ ]$
76230.r1	76230bi1	76230.r	76230bi	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11^{2} \)	\( - 2^{5} \cdot 3^{6} \cdot 5^{4} \cdot 7^{7} \cdot 11^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$56$	$2$	$0$	$1$	$1$		$0$	$806400$	$1.889992$	$-57839429434456681/16470860000$	$0.98689$	$4.44641$	$[1, -1, 0, -358650, -82601964]$	\(y^2+xy=x^3-x^2-358650x-82601964\)	56.2.0.b.1	$[ ]$
76230.s1	76230bg4	76230.s	76230bg	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11^{2} \)	\( 2^{3} \cdot 3^{10} \cdot 5^{4} \cdot 7 \cdot 11^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$9240$	$48$	$0$	$1$	$1$		$0$	$11796480$	$3.189781$	$2084105208962185000201/31185000$	$1.00897$	$6.23294$	$[1, -1, 0, -289796535, 1898910371925]$	\(y^2+xy=x^3-x^2-289796535x+1898910371925\)	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 280.12.0.?, 440.12.0.?, $\ldots$	$[ ]$
76230.s2	76230bg3	76230.s	76230bg	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11^{2} \)	\( 2^{3} \cdot 3^{22} \cdot 5 \cdot 7 \cdot 11^{10} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$9240$	$48$	$0$	$1$	$4$	$2$	$0$	$11796480$	$3.189781$	$648474704552553481/176469171805080$	$0.98578$	$5.51460$	$[1, -1, 0, -19637415, 24383814021]$	\(y^2+xy=x^3-x^2-19637415x+24383814021\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 280.12.0.?, 440.12.0.?, $\ldots$	$[ ]$

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