Elliptic curves over Q\Q of conductor 1620

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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
1620.a1	1620b2	1620.a	1620b	$2$	$3$	$2^{2} \cdot 3^{4} \cdot 5$	$2^{8} \cdot 3^{12} \cdot 5^{3}$	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.8.0.2	3B.1.2	$30$	$16$	$0$	$1$	$1$		$0$	$1296$	$0.653074$	$221184/125$	$1.42657$	$4.19953$	$[0, 0, 0, -648, -972]$	$y^2=x^3-648x-972$	3.8.0-3.a.1.1, 10.2.0.a.1, 30.16.0-30.a.1.1	$[]$
1620.a2	1620b1	1620.a	1620b	$2$	$3$	$2^{2} \cdot 3^{4} \cdot 5$	$2^{8} \cdot 3^{4} \cdot 5$	$0$	$\Z/3\Z$	$\Q$		$\mathrm{SU}(2)$			$3$	3.8.0.1	3B.1.1	$30$	$16$	$0$	$1$	$1$		$2$	$432$	$0.103768$	$362225664/5$	$1.03419$	$4.01173$	$[0, 0, 0, -408, 3172]$	$y^2=x^3-408x+3172$	3.8.0-3.a.1.2, 10.2.0.a.1, 30.16.0-30.a.1.4	$[]$
1620.b1	1620f1	1620.b	1620f	$2$	$3$	$2^{2} \cdot 3^{4} \cdot 5$	$- 2^{8} \cdot 3^{6} \cdot 5$	$1$	$\Z/3\Z$	$\Q$		$\mathrm{SU}(2)$			$3$	3.8.0.1	3B.1.1	$60$	$16$	$0$	$0.959836509$	$1$		$10$	$216$	$-0.080477$	$-148176/5$	$0.76106$	$3.26104$	$[0, 0, 0, -63, 198]$	$y^2=x^3-63x+198$	3.8.0-3.a.1.2, 20.2.0.a.1, 60.16.0-60.a.1.8	$[(6, 6)]$
1620.b2	1620f2	1620.b	1620f	$2$	$3$	$2^{2} \cdot 3^{4} \cdot 5$	$- 2^{8} \cdot 3^{10} \cdot 5^{3}$	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.8.0.2	3B.1.2	$60$	$16$	$0$	$2.879509529$	$1$		$2$	$648$	$0.468829$	$191664/125$	$0.87436$	$3.88283$	$[0, 0, 0, 297, 702]$	$y^2=x^3+297x+702$	3.8.0-3.a.1.1, 20.2.0.a.1, 60.16.0-60.a.1.5	$[(-2, 10)]$
1620.c1	1620a2	1620.c	1620a	$2$	$3$	$2^{2} \cdot 3^{4} \cdot 5$	$2^{8} \cdot 3^{10} \cdot 5^{9}$	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.8.0.2	3B.1.2	$30$	$16$	$0$	$1$	$1$		$0$	$3888$	$1.278324$	$4045602816/1953125$	$1.18271$	$5.23021$	$[0, 0, 0, -8208, 116532]$	$y^2=x^3-8208x+116532$	3.8.0-3.a.1.1, 10.2.0.a.1, 30.16.0-30.a.1.1	$[]$
1620.c2	1620a1	1620.c	1620a	$2$	$3$	$2^{2} \cdot 3^{4} \cdot 5$	$2^{8} \cdot 3^{6} \cdot 5^{3}$	$0$	$\Z/3\Z$	$\Q$		$\mathrm{SU}(2)$			$3$	3.8.0.1	3B.1.1	$30$	$16$	$0$	$1$	$1$		$2$	$1296$	$0.729018$	$183711891456/125$	$1.15925$	$5.15190$	$[0, 0, 0, -6768, 214308]$	$y^2=x^3-6768x+214308$	3.8.0-3.a.1.2, 10.2.0.a.1, 30.16.0-30.a.1.4	$[]$
1620.d1	1620e2	1620.d	1620e	$2$	$3$	$2^{2} \cdot 3^{4} \cdot 5$	$2^{8} \cdot 3^{10} \cdot 5$	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.8.0.2	3B.1.2	$30$	$16$	$0$	$1.515330705$	$1$		$2$	$1296$	$0.653074$	$362225664/5$	$1.03419$	$4.90368$	$[0, 0, 0, -3672, -85644]$	$y^2=x^3-3672x-85644$	3.8.0-3.a.1.1, 10.2.0.a.1, 30.16.0-30.a.1.1	$[(-35, 1)]$
1620.d2	1620e1	1620.d	1620e	$2$	$3$	$2^{2} \cdot 3^{4} \cdot 5$	$2^{8} \cdot 3^{6} \cdot 5^{3}$	$1$	$\Z/3\Z$	$\Q$		$\mathrm{SU}(2)$			$3$	3.8.0.1	3B.1.1	$30$	$16$	$0$	$0.505110235$	$1$		$12$	$432$	$0.103768$	$221184/125$	$1.42657$	$3.30758$	$[0, 0, 0, -72, 36]$	$y^2=x^3-72x+36$	3.8.0-3.a.1.2, 10.2.0.a.1, 30.16.0-30.a.1.4	$[(0, 6)]$
1620.e1	1620c2	1620.e	1620c	$2$	$3$	$2^{2} \cdot 3^{4} \cdot 5$	$- 2^{8} \cdot 3^{12} \cdot 5$	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.8.0.2	3B.1.2	$60$	$16$	$0$	$5.925631091$	$1$		$0$	$648$	$0.468829$	$-148176/5$	$0.76106$	$4.15299$	$[0, 0, 0, -567, -5346]$	$y^2=x^3-567x-5346$	3.8.0-3.a.1.1, 20.2.0.a.1, 60.16.0-60.a.1.5	$[(250/3, 496/3)]$
1620.e2	1620c1	1620.e	1620c	$2$	$3$	$2^{2} \cdot 3^{4} \cdot 5$	$- 2^{8} \cdot 3^{4} \cdot 5^{3}$	$1$	$\Z/3\Z$	$\Q$		$\mathrm{SU}(2)$			$3$	3.8.0.1	3B.1.1	$60$	$16$	$0$	$1.975210363$	$1$		$6$	$216$	$-0.080477$	$191664/125$	$0.87436$	$2.99088$	$[0, 0, 0, 33, -26]$	$y^2=x^3+33x-26$	3.8.0-3.a.1.2, 20.2.0.a.1, 60.16.0-60.a.1.8	$[(15, 62)]$
1620.f1	1620d2	1620.f	1620d	$2$	$3$	$2^{2} \cdot 3^{4} \cdot 5$	$2^{8} \cdot 3^{12} \cdot 5^{3}$	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.8.0.2	3B.1.2	$30$	$16$	$0$	$3.291453281$	$1$		$0$	$3888$	$1.278324$	$183711891456/125$	$1.15925$	$6.04385$	$[0, 0, 0, -60912, -5786316]$	$y^2=x^3-60912x-5786316$	3.8.0-3.a.1.1, 10.2.0.a.1, 30.16.0-30.a.1.1	$[(-1283/3, 35/3)]$
1620.f2	1620d1	1620.f	1620d	$2$	$3$	$2^{2} \cdot 3^{4} \cdot 5$	$2^{8} \cdot 3^{4} \cdot 5^{9}$	$1$	$\Z/3\Z$	$\Q$		$\mathrm{SU}(2)$			$3$	3.8.0.1	3B.1.1	$30$	$16$	$0$	$1.097151093$	$1$		$6$	$1296$	$0.729018$	$4045602816/1953125$	$1.18271$	$4.33826$	$[0, 0, 0, -912, -4316]$	$y^2=x^3-912x-4316$	3.8.0-3.a.1.2, 10.2.0.a.1, 30.16.0-30.a.1.4	$[(-27, 25)]$

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