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
51870.h1	51870f2	51870.h	51870f	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 19 \)	\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 13^{2} \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$207480$	$12$	$0$	$1$	$1$		$0$	$66560$	$0.861425$	$101513598260088169/377613600$	$1.05943$	$3.60696$	$[1, 1, 0, -9718, -372812]$	\(y^2+xy=x^3+x^2-9718x-372812\)	2.3.0.a.1, 456.6.0.?, 1820.6.0.?, 207480.12.0.?	$[]$
155610.ew1	155610k2	155610.ew	155610k	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \cdot 19 \)	\( 2^{5} \cdot 3^{7} \cdot 5^{2} \cdot 7^{2} \cdot 13^{2} \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$207480$	$12$	$0$	$0.378997429$	$1$		$10$	$532480$	$1.410732$	$101513598260088169/377613600$	$1.05943$	$3.82687$	$[1, -1, 1, -87467, 9978459]$	\(y^2+xy+y=x^3-x^2-87467x+9978459\)	2.3.0.a.1, 456.6.0.?, 1820.6.0.?, 207480.12.0.?	$[(167, 6)]$
259350.fv1	259350fv2	259350.fv	259350fv	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \cdot 19 \)	\( 2^{5} \cdot 3 \cdot 5^{8} \cdot 7^{2} \cdot 13^{2} \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$207480$	$12$	$0$	$1$	$1$		$0$	$1597440$	$1.666143$	$101513598260088169/377613600$	$1.05943$	$3.91592$	$[1, 0, 0, -242963, -46115583]$	\(y^2+xy=x^3-242963x-46115583\)	2.3.0.a.1, 456.6.0.?, 1820.6.0.?, 207480.12.0.?	$[]$
363090.dv1	363090dv2	363090.dv	363090dv	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \cdot 19 \)	\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7^{8} \cdot 13^{2} \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$207480$	$12$	$0$	$1$	$1$		$0$	$3194880$	$1.834381$	$101513598260088169/377613600$	$1.05943$	$3.97069$	$[1, 0, 1, -476208, 126445918]$	\(y^2+xy+y=x^3-476208x+126445918\)	2.3.0.a.1, 456.6.0.?, 1820.6.0.?, 207480.12.0.?	$[]$
414960.eo1	414960eo2	414960.eo	414960eo	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 19 \)	\( 2^{17} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 13^{2} \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$207480$	$12$	$0$	$1$	$1$		$1$	$1597440$	$1.554573$	$101513598260088169/377613600$	$1.05943$	$3.67014$	$[0, 1, 0, -155496, 23548980]$	\(y^2=x^3+x^2-155496x+23548980\)	2.3.0.a.1, 456.6.0.?, 1820.6.0.?, 207480.12.0.?	$[]$