Elliptic curves over $\Q$ of conductor 627

Results (3 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	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
627.a1	627b2	627.a	627b	$2$	$3$	\( 3 \cdot 11 \cdot 19 \)	\( - 3^{3} \cdot 11 \cdot 19^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓		$3$	3.8.0.2	3B.1.2	$1254$	$16$	$0$	$1$	$1$		$0$	$540$	$0.960173$	$-3004935183806464000/2037123$	$1.03626$	$6.60567$	$[0, 1, 1, -30063, -2016358]$	\(y^2+y=x^3+x^2-30063x-2016358\)	3.8.0-3.a.1.1, 1254.16.0.?	$[]$
627.a2	627b1	627.a	627b	$2$	$3$	\( 3 \cdot 11 \cdot 19 \)	\( - 3^{9} \cdot 11^{3} \cdot 19 \)	$0$	$\Z/3\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$3$	3.8.0.1	3B.1.1	$1254$	$16$	$0$	$1$	$1$		$2$	$180$	$0.410866$	$-5304438784000/497763387$	$0.96973$	$4.57228$	$[0, 1, 1, -363, -2995]$	\(y^2+y=x^3+x^2-363x-2995\)	3.8.0-3.a.1.2, 1254.16.0.?	$[]$
627.b1	627a1	627.b	627a	$1$	$1$	\( 3 \cdot 11 \cdot 19 \)	\( - 3 \cdot 11 \cdot 19 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$1254$	$2$	$0$	$1$	$1$		$0$	$28$	$-0.775084$	$-262144/627$	$0.82187$	$2.19104$	$[0, 1, 1, -1, -2]$	\(y^2+y=x^3+x^2-x-2\)	1254.2.0.?	$[]$