Elliptic curves over Q\Q of conductor 465

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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
465.a1	465b3	465.a	465b	$4$	$4$	$3 \cdot 5 \cdot 31$	$3^{4} \cdot 5^{4} \cdot 31$	$1$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	4.12.0.7	2B	$3720$	$48$	$0$	$0.546783671$	$1$		$14$	$128$	$0.059784$	$543538277281/1569375$	$0.92064$	$4.39941$	$[1, 0, 0, -170, 837]$	$y^2+xy=x^3-170x+837$	2.3.0.a.1, 4.12.0-4.c.1.1, 120.24.0.?, 124.24.0.?, 3720.48.0.?	$[(9, 3)]$
465.a2	465b2	465.a	465b	$4$	$4$	$3 \cdot 5 \cdot 31$	$3^{2} \cdot 5^{2} \cdot 31^{2}$	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	4.12.0.1	2Cs	$1860$	$48$	$0$	$1.093567343$	$1$		$8$	$64$	$-0.286789$	$374805361/216225$	$0.96767$	$3.21423$	$[1, 0, 0, -15, 0]$	$y^2+xy=x^3-15x$	2.6.0.a.1, 4.12.0-2.a.1.1, 60.24.0-60.b.1.4, 124.24.0.?, 1860.48.0.?	$[(5, 5)]$
465.a3	465b1	465.a	465b	$4$	$4$	$3 \cdot 5 \cdot 31$	$3 \cdot 5 \cdot 31$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.12.0.6	2B	$3720$	$48$	$0$	$2.187134687$	$1$		$3$	$32$	$-0.633363$	$111284641/465$	$0.83191$	$3.01652$	$[1, 0, 0, -10, -13]$	$y^2+xy=x^3-10x-13$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 60.12.0-4.c.1.2, 120.24.0.?, $\ldots$	$[(7, 13)]$
465.a4	465b4	465.a	465b	$4$	$4$	$3 \cdot 5 \cdot 31$	$- 3 \cdot 5 \cdot 31^{4}$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	4.12.0.8	2B	$3720$	$48$	$0$	$2.187134687$	$1$		$2$	$128$	$0.059784$	$23862997439/13852815$	$1.00143$	$3.89050$	$[1, 0, 0, 60, 15]$	$y^2+xy=x^3+60x+15$	2.3.0.a.1, 4.12.0-4.c.1.2, 30.6.0.a.1, 60.24.0-60.g.1.1, 248.24.0.?, $\ldots$	$[(2, 11)]$
465.b1	465a2	465.b	465a	$2$	$2$	$3 \cdot 5 \cdot 31$	$3^{6} \cdot 5^{2} \cdot 31$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$1860$	$12$	$0$	$0.699066277$	$1$		$6$	$96$	$0.014967$	$474734543401/564975$	$0.91952$	$4.37738$	$[1, 1, 0, -162, 729]$	$y^2+xy=x^3+x^2-162x+729$	2.3.0.a.1, 60.6.0.c.1, 124.6.0.?, 1860.12.0.?	$[(8, 1)]$
465.b2	465a1	465.b	465a	$2$	$2$	$3 \cdot 5 \cdot 31$	$- 3^{3} \cdot 5 \cdot 31^{2}$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$1860$	$12$	$0$	$1.398132554$	$1$		$3$	$48$	$-0.331607$	$-47045881/129735$	$0.99639$	$3.16157$	$[1, 1, 0, -7, 16]$	$y^2+xy=x^3+x^2-7x+16$	2.3.0.a.1, 30.6.0.a.1, 124.6.0.?, 1860.12.0.?	$[(0, 4)]$

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