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.c1	10002a1	10002.c	10002a	$1$	$1$	\( 2 \cdot 3 \cdot 1667 \)	\( - 2^{13} \cdot 3^{8} \cdot 1667 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$13336$	$2$	$0$	$1.676238635$	$1$		$2$	$14560$	$0.833298$	$-649844448647113/89597435904$	$0.90941$	$3.72632$	$[1, 1, 0, -1804, 32080]$	\(y^2+xy=x^3+x^2-1804x+32080\)	13336.2.0.?	$[(-5, 205)]$
30006.c1	30006e1	30006.c	30006e	$1$	$1$	\( 2 \cdot 3^{2} \cdot 1667 \)	\( - 2^{13} \cdot 3^{14} \cdot 1667 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$13336$	$2$	$0$	$1$	$1$		$0$	$116480$	$1.382605$	$-649844448647113/89597435904$	$0.90941$	$3.96862$	$[1, -1, 1, -16241, -882399]$	\(y^2+xy+y=x^3-x^2-16241x-882399\)	13336.2.0.?	$[]$
80016.f1	80016e1	80016.f	80016e	$1$	$1$	\( 2^{4} \cdot 3 \cdot 1667 \)	\( - 2^{25} \cdot 3^{8} \cdot 1667 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$13336$	$2$	$0$	$1$	$1$		$0$	$349440$	$1.526445$	$-649844448647113/89597435904$	$0.90941$	$3.77673$	$[0, 1, 0, -28872, -2110860]$	\(y^2=x^3+x^2-28872x-2110860\)	13336.2.0.?	$[]$
240048.b1	240048b1	240048.b	240048b	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 1667 \)	\( - 2^{25} \cdot 3^{14} \cdot 1667 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$13336$	$2$	$0$	$1.860392611$	$1$		$2$	$2795520$	$2.075752$	$-649844448647113/89597435904$	$0.90941$	$3.97389$	$[0, 0, 0, -259851, 56733370]$	\(y^2=x^3-259851x+56733370\)	13336.2.0.?	$[(677, 13824)]$
250050.bk1	250050bk1	250050.bk	250050bk	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 1667 \)	\( - 2^{13} \cdot 3^{8} \cdot 5^{6} \cdot 1667 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$13336$	$2$	$0$	$0.114269521$	$1$		$38$	$1863680$	$1.638016$	$-649844448647113/89597435904$	$0.90941$	$3.53823$	$[1, 0, 0, -45113, 4100217]$	\(y^2+xy=x^3-45113x+4100217\)	13336.2.0.?	$[(202, 1699), (-158, 2779)]$
320064.a1	320064a1	320064.a	320064a	$1$	$1$	\( 2^{6} \cdot 3 \cdot 1667 \)	\( - 2^{31} \cdot 3^{8} \cdot 1667 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$13336$	$2$	$0$	$7.026692357$	$1$		$6$	$2795520$	$1.873018$	$-649844448647113/89597435904$	$0.90941$	$3.69179$	$[0, -1, 0, -115489, -16771391]$	\(y^2=x^3-x^2-115489x-16771391\)	13336.2.0.?	$[(573, 10240), (18421/5, 2156544/5)]$
320064.i1	320064i1	320064.i	320064i	$1$	$1$	\( 2^{6} \cdot 3 \cdot 1667 \)	\( - 2^{31} \cdot 3^{8} \cdot 1667 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$13336$	$2$	$0$	$0.941667622$	$1$		$4$	$2795520$	$1.873018$	$-649844448647113/89597435904$	$0.90941$	$3.69179$	$[0, 1, 0, -115489, 16771391]$	\(y^2=x^3+x^2-115489x+16771391\)	13336.2.0.?	$[(1475, 55296)]$
490098.j1	490098j1	490098.j	490098j	$1$	$1$	\( 2 \cdot 3 \cdot 7^{2} \cdot 1667 \)	\( - 2^{13} \cdot 3^{8} \cdot 7^{6} \cdot 1667 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$13336$	$2$	$0$	$2.367282926$	$1$		$2$	$4193280$	$1.806253$	$-649844448647113/89597435904$	$0.90941$	$3.51058$	$[1, 0, 1, -88422, -11268680]$	\(y^2+xy+y=x^3-88422x-11268680\)	13336.2.0.?	$[(410, 4425)]$