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.g1	51870g2	51870.g	51870g	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 19 \)	\( 2 \cdot 3^{5} \cdot 5 \cdot 7^{2} \cdot 13^{2} \cdot 19^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$207480$	$12$	$0$	$1$	$1$		$0$	$353280$	$1.566999$	$1935594897227176249/946696265563230$	$0.93544$	$3.87850$	$[1, 1, 0, -25963, 622807]$	\(y^2+xy=x^3+x^2-25963x+622807\)	2.3.0.a.1, 120.6.0.?, 6916.6.0.?, 207480.12.0.?	$[]$
155610.ff1	155610m2	155610.ff	155610m	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \cdot 19 \)	\( 2 \cdot 3^{11} \cdot 5 \cdot 7^{2} \cdot 13^{2} \cdot 19^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$207480$	$12$	$0$	$15.07478063$	$1$		$0$	$2826240$	$2.116306$	$1935594897227176249/946696265563230$	$0.93544$	$4.07346$	$[1, -1, 1, -233672, -17049459]$	\(y^2+xy+y=x^3-x^2-233672x-17049459\)	2.3.0.a.1, 120.6.0.?, 6916.6.0.?, 207480.12.0.?	$[(-2647939/148, 10144614297/148)]$
259350.fp1	259350fp2	259350.fp	259350fp	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \cdot 19 \)	\( 2 \cdot 3^{5} \cdot 5^{7} \cdot 7^{2} \cdot 13^{2} \cdot 19^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$207480$	$12$	$0$	$1$	$1$		$0$	$8478720$	$2.371719$	$1935594897227176249/946696265563230$	$0.93544$	$4.15240$	$[1, 0, 0, -649088, 79149042]$	\(y^2+xy=x^3-649088x+79149042\)	2.3.0.a.1, 120.6.0.?, 6916.6.0.?, 207480.12.0.?	$[]$
363090.dp1	363090dp2	363090.dp	363090dp	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \cdot 19 \)	\( 2 \cdot 3^{5} \cdot 5 \cdot 7^{8} \cdot 13^{2} \cdot 19^{6} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$207480$	$12$	$0$	$1.703585895$	$1$		$12$	$16957440$	$2.539955$	$1935594897227176249/946696265563230$	$0.93544$	$4.20096$	$[1, 0, 1, -1272213, -217439414]$	\(y^2+xy+y=x^3-1272213x-217439414\)	2.3.0.a.1, 120.6.0.?, 6916.6.0.?, 207480.12.0.?	$[(-598, 18453), (-218, 7148)]$
414960.es1	414960es2	414960.es	414960es	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 19 \)	\( 2^{13} \cdot 3^{5} \cdot 5 \cdot 7^{2} \cdot 13^{2} \cdot 19^{6} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$207480$	$12$	$0$	$0.781005709$	$1$		$23$	$8478720$	$2.260147$	$1935594897227176249/946696265563230$	$0.93544$	$3.89803$	$[0, 1, 0, -415416, -40690476]$	\(y^2=x^3+x^2-415416x-40690476\)	2.3.0.a.1, 120.6.0.?, 6916.6.0.?, 207480.12.0.?	$[(-228, 6498), (-498, 6552)]$