Elliptic curves over $\Q$ of conductor 608

Results (6 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
608.a1	608f1	608.a	608f	$1$	$1$	\( 2^{5} \cdot 19 \)	\( - 2^{9} \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$0.314996586$	$1$		$6$	$48$	$-0.546278$	$27000/19$	$[0, 0, 0, 5, -2]$	\(y^2=x^3+5x-2\)
608.b1	608d1	608.b	608d	$1$	$1$	\( 2^{5} \cdot 19 \)	\( - 2^{12} \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$0.317256616$	$1$		$6$	$32$	$-0.368994$	$-13824/19$	$[0, 0, 0, -8, 16]$	\(y^2=x^3-8x+16\)
608.c1	608a1	608.c	608a	$1$	$1$	\( 2^{5} \cdot 19 \)	\( - 2^{12} \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$0.734160985$	$1$		$4$	$32$	$-0.368994$	$-13824/19$	$[0, 0, 0, -8, -16]$	\(y^2=x^3-8x-16\)
608.d1	608e1	608.d	608e	$1$	$1$	\( 2^{5} \cdot 19 \)	\( - 2^{12} \cdot 19^{5} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.15.0.1	5Ns	$0.361298367$	$1$		$4$	$480$	$0.599092$	$-4741632/2476099$	$[0, 0, 0, -56, -4848]$	\(y^2=x^3-56x-4848\)
608.e1	608b1	608.e	608b	$1$	$1$	\( 2^{5} \cdot 19 \)	\( - 2^{12} \cdot 19^{5} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.15.0.1	5Ns	$1$	$1$		$0$	$480$	$0.599092$	$-4741632/2476099$	$[0, 0, 0, -56, 4848]$	\(y^2=x^3-56x+4848\)
608.f1	608c1	608.f	608c	$1$	$1$	\( 2^{5} \cdot 19 \)	\( - 2^{9} \cdot 19 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1$	$1$		$0$	$48$	$-0.546278$	$27000/19$	$[0, 0, 0, 5, 2]$	\(y^2=x^3+5x+2\)