Elliptic curves over $\Q$ of conductor 70

Results (4 matches)

 

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	Regulator	$Ш_{\textrm{an}}$	Ш primes	Integral points	Modular degree	Faltings height	j-invariant	Weierstrass coefficients	Weierstrass equation
70.a1	70a3	70.a	70a	$4$	$4$	\( 2 \cdot 5 \cdot 7 \)	\( 2 \cdot 5^{2} \cdot 7^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.24.0.58	2B	$1$	$1$		$0$	$16$	$0.038988$	$2121328796049/120050$	$[1, -1, 1, -268, -1619]$	\(y^2+xy+y=x^3-x^2-268x-1619\)
70.a2	70a4	70.a	70a	$4$	$4$	\( 2 \cdot 5 \cdot 7 \)	\( 2 \cdot 5^{8} \cdot 7 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.24.0.103	2B	$1$	$1$		$0$	$16$	$0.038988$	$74565301329/5468750$	$[1, -1, 1, -88, 317]$	\(y^2+xy+y=x^3-x^2-88x+317\)
70.a3	70a2	70.a	70a	$4$	$4$	\( 2 \cdot 5 \cdot 7 \)	\( 2^{2} \cdot 5^{4} \cdot 7^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.24.0.1	2Cs	$1$	$1$		$2$	$8$	$-0.307586$	$611960049/122500$	$[1, -1, 1, -18, -19]$	\(y^2+xy+y=x^3-x^2-18x-19\)
70.a4	70a1	70.a	70a	$4$	$4$	\( 2 \cdot 5 \cdot 7 \)	\( - 2^{4} \cdot 5^{2} \cdot 7 \)	$0$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.24.0.50	2B	$1$	$1$		$3$	$4$	$-0.654160$	$1367631/2800$	$[1, -1, 1, 2, -3]$	\(y^2+xy+y=x^3-x^2+2x-3\)