Elliptic curve search results

Results (13 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
4024.a1	4024b1	4024.a	4024b	$1$	$1$	\( 2^{3} \cdot 503 \)	\( - 2^{8} \cdot 503 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1006$	$2$	$0$	$0.420722337$	$1$		$16$	$384$	$-0.331223$	$686000/503$	$0.67133$	$2.28720$	$[0, -1, 0, 12, 4]$	\(y^2=x^3-x^2+12x+4\)	1006.2.0.?	$[(0, 2), (4, 10)]$
8048.i1	8048c1	8048.i	8048c	$1$	$1$	\( 2^{4} \cdot 503 \)	\( - 2^{8} \cdot 503 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1006$	$2$	$0$	$1$	$1$		$0$	$768$	$-0.331223$	$686000/503$	$0.67133$	$2.11091$	$[0, 1, 0, 12, -4]$	\(y^2=x^3+x^2+12x-4\)	1006.2.0.?	$[]$
32192.j1	32192bc1	32192.j	32192bc	$1$	$1$	\( 2^{6} \cdot 503 \)	\( - 2^{14} \cdot 503 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1006$	$2$	$0$	$0.874724508$	$1$		$2$	$6144$	$0.015350$	$686000/503$	$0.67133$	$2.22966$	$[0, -1, 0, 47, -79]$	\(y^2=x^3-x^2+47x-79\)	1006.2.0.?	$[(5, 16)]$
32192.s1	32192a1	32192.s	32192a	$1$	$1$	\( 2^{6} \cdot 503 \)	\( - 2^{14} \cdot 503 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1006$	$2$	$0$	$0.849698734$	$1$		$2$	$6144$	$0.015350$	$686000/503$	$0.67133$	$2.22966$	$[0, 1, 0, 47, 79]$	\(y^2=x^3+x^2+47x+79\)	1006.2.0.?	$[(3, 16)]$
36216.g1	36216g1	36216.g	36216g	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 503 \)	\( - 2^{8} \cdot 3^{6} \cdot 503 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1006$	$2$	$0$	$2.381297225$	$1$		$2$	$11520$	$0.218083$	$686000/503$	$0.67133$	$2.43640$	$[0, 0, 0, 105, -214]$	\(y^2=x^3+105x-214\)	1006.2.0.?	$[(2, 2)]$
72432.z1	72432f1	72432.z	72432f	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 503 \)	\( - 2^{8} \cdot 3^{6} \cdot 503 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1006$	$2$	$0$	$1$	$1$		$0$	$23040$	$0.218083$	$686000/503$	$0.67133$	$2.28548$	$[0, 0, 0, 105, 214]$	\(y^2=x^3+105x+214\)	1006.2.0.?	$[]$
100600.i1	100600c1	100600.i	100600c	$1$	$1$	\( 2^{3} \cdot 5^{2} \cdot 503 \)	\( - 2^{8} \cdot 5^{6} \cdot 503 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1006$	$2$	$0$	$1$	$1$		$0$	$55296$	$0.473495$	$686000/503$	$0.67133$	$2.48638$	$[0, 1, 0, 292, 1088]$	\(y^2=x^3+x^2+292x+1088\)	1006.2.0.?	$[]$
197176.g1	197176f1	197176.g	197176f	$1$	$1$	\( 2^{3} \cdot 7^{2} \cdot 503 \)	\( - 2^{8} \cdot 7^{6} \cdot 503 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1006$	$2$	$0$	$5.376047195$	$1$		$6$	$89856$	$0.641731$	$686000/503$	$0.67133$	$2.51473$	$[0, 1, 0, 572, -2528]$	\(y^2=x^3+x^2+572x-2528\)	1006.2.0.?	$[(6, 34), (18, 118)]$
201200.g1	201200ba1	201200.g	201200ba	$1$	$1$	\( 2^{4} \cdot 5^{2} \cdot 503 \)	\( - 2^{8} \cdot 5^{6} \cdot 503 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1006$	$2$	$0$	$1.428194558$	$1$		$2$	$110592$	$0.473495$	$686000/503$	$0.67133$	$2.34526$	$[0, -1, 0, 292, -1088]$	\(y^2=x^3-x^2+292x-1088\)	1006.2.0.?	$[(32, 200)]$
289728.ce1	289728ce1	289728.ce	289728ce	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 503 \)	\( - 2^{14} \cdot 3^{6} \cdot 503 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1006$	$2$	$0$	$1.745585391$	$1$		$2$	$184320$	$0.564656$	$686000/503$	$0.67133$	$2.36424$	$[0, 0, 0, 420, -1712]$	\(y^2=x^3+420x-1712\)	1006.2.0.?	$[(6, 32)]$
289728.db1	289728db1	289728.db	289728db	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 503 \)	\( - 2^{14} \cdot 3^{6} \cdot 503 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1006$	$2$	$0$	$3.307876009$	$1$		$2$	$184320$	$0.564656$	$686000/503$	$0.67133$	$2.36424$	$[0, 0, 0, 420, 1712]$	\(y^2=x^3+420x+1712\)	1006.2.0.?	$[(98, 992)]$
394352.i1	394352i1	394352.i	394352i	$1$	$1$	\( 2^{4} \cdot 7^{2} \cdot 503 \)	\( - 2^{8} \cdot 7^{6} \cdot 503 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1006$	$2$	$0$	$1$	$1$		$0$	$179712$	$0.641731$	$686000/503$	$0.67133$	$2.37945$	$[0, -1, 0, 572, 2528]$	\(y^2=x^3-x^2+572x+2528\)	1006.2.0.?	$[]$
486904.b1	486904b1	486904.b	486904b	$1$	$1$	\( 2^{3} \cdot 11^{2} \cdot 503 \)	\( - 2^{8} \cdot 11^{6} \cdot 503 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1006$	$2$	$0$	$7.071639121$	$1$		$0$	$456960$	$0.867724$	$686000/503$	$0.67133$	$2.54823$	$[0, -1, 0, 1412, -11020]$	\(y^2=x^3-x^2+1412x-11020\)	1006.2.0.?	$[(997/3, 32986/3)]$