Elliptic curves over $\Q$ of conductor 228

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
228.a1	228b1	228.a	228b	$1$	$1$	\( 2^{2} \cdot 3 \cdot 19 \)	\( - 2^{8} \cdot 3^{2} \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$38$	$2$	$0$	$0.074508109$	$1$		$10$	$24$	$-0.429106$	$8192/171$	$0.94370$	$3.33621$	$[0, -1, 0, 3, 9]$	\(y^2=x^3-x^2+3x+9\)	38.2.0.a.1	$[(3, 6)]$
228.b1	228a2	228.b	228a	$2$	$2$	\( 2^{2} \cdot 3 \cdot 19 \)	\( 2^{8} \cdot 3^{6} \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$228$	$12$	$0$	$1$	$1$		$1$	$36$	$0.022556$	$340062928/13851$	$0.89938$	$4.63957$	$[0, -1, 0, -92, 360]$	\(y^2=x^3-x^2-92x+360\)	2.3.0.a.1, 12.6.0.c.1, 76.6.0.?, 228.12.0.?	$[]$
228.b2	228a1	228.b	228a	$2$	$2$	\( 2^{2} \cdot 3 \cdot 19 \)	\( - 2^{4} \cdot 3^{3} \cdot 19^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$228$	$12$	$0$	$1$	$1$		$1$	$18$	$-0.324018$	$131072/9747$	$1.13743$	$3.57395$	$[0, -1, 0, 3, 18]$	\(y^2=x^3-x^2+3x+18\)	2.3.0.a.1, 6.6.0.a.1, 76.6.0.?, 228.12.0.?	$[]$