Elliptic curve search results

Results (displaying both 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
174570.bc1	174570cd1	174570.bc	174570cd	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 23^{2} \)	\( - 2^{9} \cdot 3^{18} \cdot 5^{3} \cdot 11^{9} \cdot 23^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.6.0.1	3Ns	$30360$	$24$	$1$	$4.502829932$	$1$		$2$	$137168640$	$3.918236$	$-1356251428305237257849552687/58465103838953017536000$	$1.05182$	$5.96126$	$[1, 0, 1, -530395709, 4873550214296]$	\(y^2+xy+y=x^3-530395709x+4873550214296\)	3.6.0.b.1, 69.12.0.a.1, 1320.12.0.?, 10120.2.0.?, 30360.24.1.?	$[(23274, 2254702)]$
174570.bg1	174570bp1	174570.bg	174570bp	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 23^{2} \)	\( - 2^{9} \cdot 3^{18} \cdot 5^{3} \cdot 11^{9} \cdot 23^{9} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.6.0.1	3Ns	$30360$	$24$	$1$	$1.814968883$	$1$		$0$	$3154878720$	$5.485985$	$-1356251428305237257849552687/58465103838953017536000$	$1.05182$	$7.51990$	$[1, 0, 1, -280579329808, -59297046616002082]$	\(y^2+xy+y=x^3-280579329808x-59297046616002082\)	3.6.0.b.1, 69.12.0.a.1, 1320.12.0.?, 10120.2.0.?, 30360.24.1.?	$[(3129211/2, 3574333795/2)]$