Elliptic curves over $\Q$ of conductor 10001

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
10001.a1	10001a2	10001.a	10001a	$2$	$2$	\( 73 \cdot 137 \)	\( 73 \cdot 137^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$40004$	$12$	$0$	$3.470942657$	$1$		$0$	$46656$	$1.596895$	$17374804109361438921/482665506294457$	$0.96706$	$4.80993$	$[1, -1, 0, -53959, 4720704]$	\(y^2+xy=x^3-x^2-53959x+4720704\)	2.3.0.a.1, 146.6.0.?, 548.6.0.?, 40004.12.0.?	$[(2437/4, 3757/4)]$
10001.a2	10001a1	10001.a	10001a	$2$	$2$	\( 73 \cdot 137 \)	\( 73^{2} \cdot 137^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$40004$	$12$	$0$	$1.735471328$	$1$		$1$	$23328$	$1.250322$	$17024594875172176761/13702740137$	$0.94200$	$4.80772$	$[1, -1, 0, -53594, 4788959]$	\(y^2+xy=x^3-x^2-53594x+4788959\)	2.3.0.a.1, 274.6.0.?, 292.6.0.?, 40004.12.0.?	$[(487/2, 1431/2)]$