Elliptic curve search results

Results (5 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.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.?	$[(487/2, 1431/2)]$
90009.b2	90009b1	90009.b	90009b	$2$	$2$	\( 3^{2} \cdot 73 \cdot 137 \)	\( 3^{6} \cdot 73^{2} \cdot 137^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$40004$	$12$	$0$	$19.76329324$	$1$		$1$	$746496$	$1.799629$	$17024594875172176761/13702740137$	$0.94200$	$4.45953$	$[1, -1, 1, -482348, -128819546]$	\(y^2+xy+y=x^3-x^2-482348x-128819546\)	2.3.0.a.1, 274.6.0.?, 292.6.0.?, 40004.12.0.?	$[(2460084296/1423, 92821865394155/1423)]$
160016.a2	160016a1	160016.a	160016a	$2$	$2$	\( 2^{4} \cdot 73 \cdot 137 \)	\( 2^{12} \cdot 73^{2} \cdot 137^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$40004$	$12$	$0$	$1$	$1$		$1$	$1492992$	$1.943470$	$17024594875172176761/13702740137$	$0.94200$	$4.38945$	$[0, 0, 0, -857507, -305635870]$	\(y^2=x^3-857507x-305635870\)	2.3.0.a.1, 274.6.0.?, 292.6.0.?, 40004.12.0.?	$[]$
250025.a2	250025a1	250025.a	250025a	$2$	$2$	\( 5^{2} \cdot 73 \cdot 137 \)	\( 5^{6} \cdot 73^{2} \cdot 137^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$40004$	$12$	$0$	$10.61853144$	$1$		$1$	$1866240$	$2.055042$	$17024594875172176761/13702740137$	$0.94200$	$4.33956$	$[1, -1, 1, -1339855, 597280022]$	\(y^2+xy+y=x^3-x^2-1339855x+597280022\)	2.3.0.a.1, 274.6.0.?, 292.6.0.?, 40004.12.0.?	$[(44099/10, 9372337/10)]$
490049.c2	490049c1	490049.c	490049c	$2$	$2$	\( 7^{2} \cdot 73 \cdot 137 \)	\( 7^{6} \cdot 73^{2} \cdot 137^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$40004$	$12$	$0$	$21.38056826$	$1$		$1$	$6718464$	$2.223278$	$17024594875172176761/13702740137$	$0.94200$	$4.27076$	$[1, -1, 0, -2626115, -1637360712]$	\(y^2+xy=x^3-x^2-2626115x-1637360712\)	2.3.0.a.1, 274.6.0.?, 292.6.0.?, 40004.12.0.?	$[(240826564591/11238, 22653748025458621/11238)]$