Elliptic curves over $\Q$ of conductor 360

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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
360.a1	360e3	360.a	360e	$4$	$4$	\( 2^{3} \cdot 3^{2} \cdot 5 \)	\( 2^{10} \cdot 3^{6} \cdot 5 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.24.0.15	2B	$240$	$192$	$3$	$0.683761292$	$1$		$7$	$128$	$0.347092$	$132304644/5$	$1.13632$	$5.47455$	$[0, 0, 0, -963, 11502]$	\(y^2=x^3-963x+11502\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 10.6.0.a.1, 12.12.0-4.c.1.1, $\ldots$	$[(19, 8)]$
360.a2	360e2	360.a	360e	$4$	$4$	\( 2^{3} \cdot 3^{2} \cdot 5 \)	\( 2^{8} \cdot 3^{6} \cdot 5^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.35	2Cs	$120$	$192$	$3$	$0.341880646$	$1$		$19$	$64$	$0.000519$	$148176/25$	$1.09175$	$4.08471$	$[0, 0, 0, -63, 162]$	\(y^2=x^3-63x+162\)	2.6.0.a.1, 4.12.0.a.1, 8.24.0.g.1, 12.24.0-4.a.1.1, 20.24.0.b.1, $\ldots$	$[(9, 18)]$
360.a3	360e1	360.a	360e	$4$	$4$	\( 2^{3} \cdot 3^{2} \cdot 5 \)	\( 2^{4} \cdot 3^{6} \cdot 5 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.24.0.15	2B	$240$	$192$	$3$	$0.683761292$	$1$		$7$	$32$	$-0.346055$	$55296/5$	$1.01898$	$3.44620$	$[0, 0, 0, -18, -27]$	\(y^2=x^3-18x-27\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 10.6.0.a.1, 12.12.0-4.c.1.2, $\ldots$	$[(6, 9)]$
360.a4	360e4	360.a	360e	$4$	$4$	\( 2^{3} \cdot 3^{2} \cdot 5 \)	\( - 2^{10} \cdot 3^{6} \cdot 5^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.24.0.2	2B	$240$	$192$	$3$	$0.683761292$	$1$		$7$	$128$	$0.347092$	$237276/625$	$1.04671$	$4.61554$	$[0, 0, 0, 117, 918]$	\(y^2=x^3+117x+918\)	2.3.0.a.1, 4.24.0.c.1, 12.48.0-4.c.1.1, 40.48.1.dk.1, 80.96.3.?, $\ldots$	$[(3, 36)]$
360.b1	360a5	360.b	360a	$6$	$8$	\( 2^{3} \cdot 3^{2} \cdot 5 \)	\( 2^{11} \cdot 3^{7} \cdot 5^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.48.0.202	2B	$240$	$192$	$1$	$1$	$1$		$1$	$512$	$1.029305$	$1770025017602/75$	$1.12837$	$7.20652$	$[0, 0, 0, -28803, 1881502]$	\(y^2=x^3-28803x+1881502\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.4, 12.12.0-4.c.1.1, 16.48.0-16.f.1.6, $\ldots$	$[]$
360.b2	360a3	360.b	360a	$6$	$8$	\( 2^{3} \cdot 3^{2} \cdot 5 \)	\( 2^{10} \cdot 3^{8} \cdot 5^{4} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.105	2Cs	$120$	$192$	$1$	$1$	$1$		$3$	$256$	$0.682732$	$868327204/5625$	$1.10029$	$5.79419$	$[0, 0, 0, -1803, 29302]$	\(y^2=x^3-1803x+29302\)	2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.d.1.16, 12.24.0-4.b.1.1, 24.96.0-24.k.1.4, $\ldots$	$[]$
360.b3	360a6	360.b	360a	$6$	$8$	\( 2^{3} \cdot 3^{2} \cdot 5 \)	\( - 2^{11} \cdot 3^{7} \cdot 5^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.231	2B	$240$	$192$	$1$	$1$	$1$		$1$	$512$	$1.029305$	$-27995042/1171875$	$1.07729$	$6.05814$	$[0, 0, 0, -723, 64078]$	\(y^2=x^3-723x+64078\)	2.3.0.a.1, 4.6.0.c.1, 8.48.0-8.ba.1.3, 12.12.0-4.c.1.1, 24.96.0-24.bo.1.6, $\ldots$	$[]$
360.b4	360a2	360.b	360a	$6$	$8$	\( 2^{3} \cdot 3^{2} \cdot 5 \)	\( 2^{8} \cdot 3^{10} \cdot 5^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.119	2Cs	$120$	$192$	$1$	$1$	$1$		$3$	$128$	$0.336158$	$3631696/2025$	$1.02576$	$4.62820$	$[0, 0, 0, -183, -182]$	\(y^2=x^3-183x-182\)	2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.d.2.8, 12.24.0-4.b.1.3, 20.24.0.c.1, $\ldots$	$[]$
360.b5	360a1	360.b	360a	$6$	$8$	\( 2^{3} \cdot 3^{2} \cdot 5 \)	\( 2^{4} \cdot 3^{8} \cdot 5 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.48.0.163	2B	$240$	$192$	$1$	$1$	$1$		$1$	$64$	$-0.010416$	$24918016/45$	$0.99237$	$4.48435$	$[0, 0, 0, -138, -623]$	\(y^2=x^3-138x-623\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.5, 10.6.0.a.1, 12.12.0-4.c.1.2, $\ldots$	$[]$
360.b6	360a4	360.b	360a	$6$	$8$	\( 2^{3} \cdot 3^{2} \cdot 5 \)	\( - 2^{10} \cdot 3^{14} \cdot 5 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.48.0.140	2B	$240$	$192$	$1$	$1$	$1$		$1$	$256$	$0.682732$	$54607676/32805$	$1.06524$	$5.32421$	$[0, 0, 0, 717, -1442]$	\(y^2=x^3+717x-1442\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.2, 12.12.0-4.c.1.2, 16.48.0-8.ba.2.3, $\ldots$	$[]$
360.c1	360b2	360.c	360b	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 5 \)	\( 2^{11} \cdot 3^{3} \cdot 5^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$120$	$12$	$0$	$1$	$1$		$1$	$64$	$0.012990$	$3721734/25$	$1.06284$	$4.42570$	$[0, 0, 0, -123, -522]$	\(y^2=x^3-123x-522\)	2.3.0.a.1, 24.6.0.a.1, 40.6.0.e.1, 60.6.0.c.1, 120.12.0.?	$[]$
360.c2	360b1	360.c	360b	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 5 \)	\( - 2^{10} \cdot 3^{3} \cdot 5 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$120$	$12$	$0$	$1$	$1$		$1$	$32$	$-0.333584$	$-108/5$	$1.29203$	$3.27957$	$[0, 0, 0, -3, -18]$	\(y^2=x^3-3x-18\)	2.3.0.a.1, 24.6.0.d.1, 30.6.0.a.1, 40.6.0.e.1, 120.12.0.?	$[]$
360.d1	360c2	360.d	360c	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 5 \)	\( 2^{11} \cdot 3^{9} \cdot 5^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$120$	$12$	$0$	$1$	$1$		$1$	$192$	$0.562296$	$3721734/25$	$1.06284$	$5.54557$	$[0, 0, 0, -1107, 14094]$	\(y^2=x^3-1107x+14094\)	2.3.0.a.1, 24.6.0.a.1, 40.6.0.e.1, 60.6.0.c.1, 120.12.0.?	$[]$
360.d2	360c1	360.d	360c	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 5 \)	\( - 2^{10} \cdot 3^{9} \cdot 5 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$120$	$12$	$0$	$1$	$1$		$1$	$96$	$0.215723$	$-108/5$	$1.29203$	$4.39944$	$[0, 0, 0, -27, 486]$	\(y^2=x^3-27x+486\)	2.3.0.a.1, 24.6.0.d.1, 30.6.0.a.1, 40.6.0.e.1, 120.12.0.?	$[]$
360.e1	360d4	360.e	360d	$4$	$4$	\( 2^{3} \cdot 3^{2} \cdot 5 \)	\( 2^{11} \cdot 3^{10} \cdot 5 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.6	2B	$120$	$48$	$0$	$1$	$1$		$1$	$256$	$0.618710$	$546718898/405$	$0.99169$	$5.83336$	$[0, 0, 0, -1947, 33046]$	\(y^2=x^3-1947x+33046\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 24.24.0-24.y.1.6, 40.24.0-40.v.1.7, $\ldots$	$[]$
360.e2	360d3	360.e	360d	$4$	$4$	\( 2^{3} \cdot 3^{2} \cdot 5 \)	\( 2^{11} \cdot 3^{7} \cdot 5^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.8	2B	$120$	$48$	$0$	$1$	$1$		$1$	$256$	$0.618710$	$136835858/1875$	$0.97925$	$5.59803$	$[0, 0, 0, -1227, -16346]$	\(y^2=x^3-1227x-16346\)	2.3.0.a.1, 4.12.0-4.c.1.2, 24.24.0-24.s.1.1, 40.24.0-40.bb.1.7, 120.48.0.?	$[]$
360.e3	360d2	360.e	360d	$4$	$4$	\( 2^{3} \cdot 3^{2} \cdot 5 \)	\( 2^{10} \cdot 3^{8} \cdot 5^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.1	2Cs	$120$	$48$	$0$	$1$	$1$		$3$	$128$	$0.272136$	$470596/225$	$1.13245$	$4.51655$	$[0, 0, 0, -147, 286]$	\(y^2=x^3-147x+286\)	2.6.0.a.1, 4.12.0-2.a.1.1, 24.24.0-24.b.1.4, 40.24.0-40.a.1.6, 60.24.0-60.b.1.1, $\ldots$	$[]$
360.e4	360d1	360.e	360d	$4$	$4$	\( 2^{3} \cdot 3^{2} \cdot 5 \)	\( - 2^{8} \cdot 3^{7} \cdot 5 \)	$0$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.7	2B	$120$	$48$	$0$	$1$	$1$		$3$	$64$	$-0.074438$	$21296/15$	$0.85611$	$3.75514$	$[0, 0, 0, 33, 34]$	\(y^2=x^3+33x+34\)	2.3.0.a.1, 4.12.0-4.c.1.1, 24.24.0-24.y.1.4, 30.6.0.a.1, 40.24.0-40.bb.1.15, $\ldots$	$[]$

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