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.m2	51870q2	51870.m	51870q	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 19 \)	\( - 2 \cdot 3^{10} \cdot 5^{2} \cdot 7 \cdot 13^{2} \cdot 19^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$207480$	$12$	$0$	$2.944509809$	$1$		$4$	$102400$	$1.083971$	$-26071520989028761/1260882154350$	$0.89347$	$3.48914$	$[1, 1, 0, -6177, -197109]$	\(y^2+xy=x^3+x^2-6177x-197109\)	2.3.0.a.1, 56.6.0.b.1, 14820.6.0.?, 207480.12.0.?	$[(107, 564)]$
155610.dl2	155610by2	155610.dl	155610by	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \cdot 19 \)	\( - 2 \cdot 3^{16} \cdot 5^{2} \cdot 7 \cdot 13^{2} \cdot 19^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$207480$	$12$	$0$	$1$	$1$		$0$	$819200$	$1.633276$	$-26071520989028761/1260882154350$	$0.89347$	$3.71988$	$[1, -1, 1, -55598, 5266347]$	\(y^2+xy+y=x^3-x^2-55598x+5266347\)	2.3.0.a.1, 56.6.0.b.1, 14820.6.0.?, 207480.12.0.?	$[]$
259350.gi2	259350gi2	259350.gi	259350gi	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \cdot 19 \)	\( - 2 \cdot 3^{10} \cdot 5^{8} \cdot 7 \cdot 13^{2} \cdot 19^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$207480$	$12$	$0$	$1$	$1$		$0$	$2457600$	$1.888689$	$-26071520989028761/1260882154350$	$0.89347$	$3.81331$	$[1, 0, 0, -154438, -24329758]$	\(y^2+xy=x^3-154438x-24329758\)	2.3.0.a.1, 56.6.0.b.1, 14820.6.0.?, 207480.12.0.?	$[]$
363090.ci2	363090ci2	363090.ci	363090ci	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \cdot 19 \)	\( - 2 \cdot 3^{10} \cdot 5^{2} \cdot 7^{7} \cdot 13^{2} \cdot 19^{2} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$207480$	$12$	$0$	$0.489070237$	$1$		$24$	$4915200$	$2.056927$	$-26071520989028761/1260882154350$	$0.89347$	$3.87078$	$[1, 0, 1, -302699, 66700316]$	\(y^2+xy+y=x^3-302699x+66700316\)	2.3.0.a.1, 56.6.0.b.1, 14820.6.0.?, 207480.12.0.?	$[(-24, 8611), (1227/2, 11999/2)]$
414960.hr2	414960hr2	414960.hr	414960hr	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 19 \)	\( - 2^{13} \cdot 3^{10} \cdot 5^{2} \cdot 7 \cdot 13^{2} \cdot 19^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$207480$	$12$	$0$	$0.797847891$	$1$		$7$	$2457600$	$1.777119$	$-26071520989028761/1260882154350$	$0.89347$	$3.57126$	$[0, 1, 0, -98840, 12417300]$	\(y^2=x^3+x^2-98840x+12417300\)	2.3.0.a.1, 56.6.0.b.1, 14820.6.0.?, 207480.12.0.?	$[(220, 1170)]$