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Conductor	Discriminant	j-invariant	Rank

Bad $\ p$	Curves per isogeny class	Complex multiplication	Torsion

Isogeny class degree	Cyclic isogeny degree	Isogeny class size	Integral points

Analytic order of Ш	$p\$ div $\$ \|Ш\|	Regulator	Reduction	Faltings height

Galois image	Adelic level	Adelic index	Adelic genus

Nonmax $\ \ell$	$abc$ quality	Szpiro ratio

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Results (6 matches)

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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
3240.a1	3240c1	3240.a	3240c	$1$	$1$	$2^{3} \cdot 3^{4} \cdot 5$	$2^{8} \cdot 3^{10} \cdot 5$	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$10$	$2$	$0$	$0.166440809$	$1$		$8$	$576$	$0.202663$	$9216/5$	$0.81518$	$3.17443$	$[0, 0, 0, -108, -108]$	$y^2=x^3-108x-108$	10.2.0.a.1	$[(-6, 18)]$
3240.b1	3240b1	3240.b	3240b	$1$	$1$	$2^{3} \cdot 3^{4} \cdot 5$	$- 2^{11} \cdot 3^{4} \cdot 5^{2}$	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	8.2.0.1		$8$	$2$	$0$	$1.424509572$	$1$		$2$	$480$	$-0.051180$	$-18/25$	$1.45567$	$2.80739$	$[0, 0, 0, -3, -98]$	$y^2=x^3-3x-98$	8.2.0.a.1	$[(6, 10)]$
3240.c1	3240a1	3240.c	3240a	$1$	$1$	$2^{3} \cdot 3^{4} \cdot 5$	$2^{8} \cdot 3^{4} \cdot 5^{5}$	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.5.0.1	5S4	$10$	$30$	$0$	$0.951037831$	$1$		$4$	$960$	$0.436163$	$4543847424/3125$	$1.01085$	$3.98062$	$[0, 0, 0, -948, -11228]$	$y^2=x^3-948x-11228$	5.5.0.a.1, 10.30.0.a.1, 20.120.6.a.1	$[(-18, 2)]$
3240.d1	3240e1	3240.d	3240e	$1$	$1$	$2^{3} \cdot 3^{4} \cdot 5$	$2^{8} \cdot 3^{4} \cdot 5$	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$10$	$2$	$0$	$0.584029415$	$1$		$4$	$192$	$-0.346643$	$9216/5$	$0.81518$	$2.35897$	$[0, 0, 0, -12, 4]$	$y^2=x^3-12x+4$	10.2.0.a.1	$[(0, 2)]$
3240.e1	3240d1	3240.e	3240d	$1$	$1$	$2^{3} \cdot 3^{4} \cdot 5$	$2^{8} \cdot 3^{10} \cdot 5^{5}$	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.5.0.1	5S4	$20$	$120$	$6$	$0.107006779$	$1$		$10$	$2880$	$0.985470$	$4543847424/3125$	$1.01085$	$4.79609$	$[0, 0, 0, -8532, 303156]$	$y^2=x^3-8532x+303156$	5.5.0.a.1, 10.30.0.a.1, 20.120.6.a.1	$[(12, 450)]$
3240.f1	3240f1	3240.f	3240f	$1$	$1$	$2^{3} \cdot 3^{4} \cdot 5$	$- 2^{11} \cdot 3^{10} \cdot 5^{2}$	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	8.2.0.1		$8$	$2$	$0$	$1$	$1$		$0$	$1440$	$0.498127$	$-18/25$	$1.45567$	$3.62286$	$[0, 0, 0, -27, 2646]$	$y^2=x^3-27x+2646$	8.2.0.a.1	$[]$

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