Elliptic curve search results

Results (8 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
10002.e1	10002e1	10002.e	10002e	$1$	$1$	\( 2 \cdot 3 \cdot 1667 \)	\( 2^{3} \cdot 3^{5} \cdot 1667 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$40008$	$2$	$0$	$0.257460714$	$1$		$4$	$2160$	$-0.061213$	$5611284433/3240648$	$0.90444$	$2.43721$	$[1, 0, 0, -37, -7]$	\(y^2+xy=x^3-37x-7\)	40008.2.0.?	$[(-4, 11)]$
30006.a1	30006b1	30006.a	30006b	$1$	$1$	\( 2 \cdot 3^{2} \cdot 1667 \)	\( 2^{3} \cdot 3^{11} \cdot 1667 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$40008$	$2$	$0$	$0.742997917$	$1$		$4$	$17280$	$0.488093$	$5611284433/3240648$	$0.90444$	$2.81689$	$[1, -1, 0, -333, 189]$	\(y^2+xy=x^3-x^2-333x+189\)	40008.2.0.?	$[(-15, 48)]$
80016.a1	80016a1	80016.a	80016a	$1$	$1$	\( 2^{4} \cdot 3 \cdot 1667 \)	\( 2^{15} \cdot 3^{5} \cdot 1667 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$40008$	$2$	$0$	$1.642823274$	$1$		$4$	$51840$	$0.631934$	$5611284433/3240648$	$0.90444$	$2.72505$	$[0, -1, 0, -592, 448]$	\(y^2=x^3-x^2-592x+448\)	40008.2.0.?	$[(-24, 16)]$
240048.c1	240048c1	240048.c	240048c	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 1667 \)	\( 2^{15} \cdot 3^{11} \cdot 1667 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$40008$	$2$	$0$	$2.704788417$	$1$		$2$	$414720$	$1.181240$	$5611284433/3240648$	$0.90444$	$3.01547$	$[0, 0, 0, -5331, -6766]$	\(y^2=x^3-5331x-6766\)	40008.2.0.?	$[(-41, 378)]$
250050.h1	250050h1	250050.h	250050h	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 1667 \)	\( 2^{3} \cdot 3^{5} \cdot 5^{6} \cdot 1667 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$40008$	$2$	$0$	$1$	$1$		$0$	$276480$	$0.743505$	$5611284433/3240648$	$0.90444$	$2.58296$	$[1, 1, 0, -925, -875]$	\(y^2+xy=x^3+x^2-925x-875\)	40008.2.0.?	$[]$
320064.b1	320064b1	320064.b	320064b	$1$	$1$	\( 2^{6} \cdot 3 \cdot 1667 \)	\( 2^{21} \cdot 3^{5} \cdot 1667 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$40008$	$2$	$0$	$3.243676605$	$1$		$10$	$414720$	$0.978508$	$5611284433/3240648$	$0.90444$	$2.75512$	$[0, -1, 0, -2369, -1215]$	\(y^2=x^3-x^2-2369x-1215\)	40008.2.0.?	$[(-47, 64), (81, 576)]$
320064.h1	320064h1	320064.h	320064h	$1$	$1$	\( 2^{6} \cdot 3 \cdot 1667 \)	\( 2^{21} \cdot 3^{5} \cdot 1667 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$40008$	$2$	$0$	$0.555828469$	$1$		$4$	$414720$	$0.978508$	$5611284433/3240648$	$0.90444$	$2.75512$	$[0, 1, 0, -2369, 1215]$	\(y^2=x^3+x^2-2369x+1215\)	40008.2.0.?	$[(-17, 192)]$
490098.q1	490098q1	490098.q	490098q	$1$	$1$	\( 2 \cdot 3 \cdot 7^{2} \cdot 1667 \)	\( 2^{3} \cdot 3^{5} \cdot 7^{6} \cdot 1667 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$40008$	$2$	$0$	$1.357556547$	$1$		$4$	$777600$	$0.911742$	$5611284433/3240648$	$0.90444$	$2.60438$	$[1, 1, 1, -1814, 587]$	\(y^2+xy+y=x^3+x^2-1814x+587\)	40008.2.0.?	$[(-1, 49)]$