Elliptic curves over $\Q$ of conductor 221

Results (4 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
221.a1	221a2	221.a	221a	$2$	$2$	\( 13 \cdot 17 \)	\( 13^{3} \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$884$	$12$	$0$	$1$	$1$		$0$	$240$	$0.755173$	$177930109857804849/634933$	$1.28788$	$7.35809$	$[1, -1, 1, -11718, 491144]$	\(y^2+xy+y=x^3-x^2-11718x+491144\)	2.3.0.a.1, 26.6.0.b.1, 68.6.0.c.1, 884.12.0.?	$[]$
221.a2	221a1	221.a	221a	$2$	$2$	\( 13 \cdot 17 \)	\( 13^{6} \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$884$	$12$	$0$	$1$	$1$		$1$	$120$	$0.408599$	$43499078731809/82055753$	$1.09179$	$5.81749$	$[1, -1, 1, -733, 7804]$	\(y^2+xy+y=x^3-x^2-733x+7804\)	2.3.0.a.1, 34.6.0.a.1, 52.6.0.c.1, 884.12.0.?	$[]$
221.b1	221b1	221.b	221b	$2$	$2$	\( 13 \cdot 17 \)	\( 13^{2} \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.12.0.22	2B	$1768$	$48$	$0$	$1$	$1$		$1$	$24$	$-0.313018$	$23320116793/2873$	$0.88144$	$4.42235$	$[1, 1, 0, -59, 152]$	\(y^2+xy=x^3+x^2-59x+152\)	2.3.0.a.1, 4.6.0.b.1, 8.12.0-4.b.1.2, 34.6.0.a.1, 68.12.0.e.1, $\ldots$	$[]$
221.b2	221b2	221.b	221b	$2$	$2$	\( 13 \cdot 17 \)	\( - 13^{4} \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.12.0.37	2B	$1768$	$48$	$0$	$1$	$1$		$0$	$48$	$0.033555$	$-17923019113/8254129$	$0.89092$	$4.48204$	$[1, 1, 0, -54, 185]$	\(y^2+xy=x^3+x^2-54x+185\)	2.3.0.a.1, 4.6.0.a.1, 8.12.0-4.a.1.1, 68.12.0.d.1, 136.24.0.?, $\ldots$	$[]$