Elliptic curves over $\Q$ of conductor 61

Results (unique match)

 

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
61.a1	61a1	61.a	61a	$1$	$1$	\( 61 \)	\( -61 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$244$	$2$	$0$	$0.079187731$	$1$		$8$	$2$	$-0.905458$	$-912673/61$	$0.79530$	$3.36508$	$[1, 0, 0, -2, 1]$	\(y^2+xy=x^3-2x+1\)	244.2.0.?	$[(1, 0)]$