Elliptic curves over $\Q$ of conductor 16820

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
16820.a1	16820a1	16820.a	16820a	$2$	$2$	\( 2^{2} \cdot 5 \cdot 29^{2} \)	\( 2^{4} \cdot 5^{2} \cdot 29^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$580$	$12$	$0$	$1$	$1$		$1$	$20160$	$1.178999$	$3538944/725$	$0.87494$	$3.91104$	$[0, 0, 0, -6728, -170723]$	\(y^2=x^3-6728x-170723\)	2.3.0.a.1, 20.6.0.b.1, 58.6.0.a.1, 580.12.0.?	$[]$
16820.a2	16820a2	16820.a	16820a	$2$	$2$	\( 2^{2} \cdot 5 \cdot 29^{2} \)	\( - 2^{8} \cdot 5 \cdot 29^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$580$	$12$	$0$	$1$	$4$	$2$	$1$	$40320$	$1.525574$	$2122416/4205$	$0.84263$	$4.23442$	$[0, 0, 0, 14297, -1024338]$	\(y^2=x^3+14297x-1024338\)	2.3.0.a.1, 20.6.0.a.1, 116.6.0.?, 580.12.0.?	$[]$
16820.b1	16820c1	16820.b	16820c	$2$	$2$	\( 2^{2} \cdot 5 \cdot 29^{2} \)	\( 2^{4} \cdot 5^{3} \cdot 29^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$580$	$12$	$0$	$3.987094776$	$1$		$3$	$60480$	$1.572836$	$226492416/105125$	$1.15496$	$4.33846$	$[0, 0, 0, -26912, -756059]$	\(y^2=x^3-26912x-756059\)	2.3.0.a.1, 10.6.0.a.1, 116.6.0.?, 580.12.0.?	$[(-33, 310)]$
16820.b2	16820c2	16820.b	16820c	$2$	$2$	\( 2^{2} \cdot 5 \cdot 29^{2} \)	\( - 2^{8} \cdot 5^{6} \cdot 29^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$580$	$12$	$0$	$7.974189552$	$1$		$1$	$120960$	$1.919409$	$623331504/453125$	$1.02485$	$4.72744$	$[0, 0, 0, 95033, -5707026]$	\(y^2=x^3+95033x-5707026\)	2.3.0.a.1, 20.6.0.c.1, 116.6.0.?, 580.12.0.?	$[(24257/2, 3782775/2)]$
16820.c1	16820b3	16820.c	16820b	$4$	$6$	\( 2^{2} \cdot 5 \cdot 29^{2} \)	\( 2^{4} \cdot 5^{3} \cdot 29^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.3, 3.4.0.1	2B, 3B	$3480$	$384$	$9$	$1$	$4$	$2$	$1$	$36288$	$1.303003$	$488095744/125$	$1.07376$	$4.41736$	$[0, -1, 0, -34761, -2482414]$	\(y^2=x^3-x^2-34761x-2482414\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.b.1, 6.12.0.a.1, 10.6.0.a.1, $\ldots$	$[]$
16820.c2	16820b4	16820.c	16820b	$4$	$6$	\( 2^{2} \cdot 5 \cdot 29^{2} \)	\( - 2^{8} \cdot 5^{6} \cdot 29^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.5, 3.4.0.1	2B, 3B	$3480$	$384$	$9$	$1$	$4$	$2$	$1$	$72576$	$1.649578$	$-20720464/15625$	$0.95894$	$4.46335$	$[0, -1, 0, -30556, -3109800]$	\(y^2=x^3-x^2-30556x-3109800\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.a.1, 6.12.0.a.1, 12.24.0.d.1, $\ldots$	$[]$
16820.c3	16820b1	16820.c	16820b	$4$	$6$	\( 2^{2} \cdot 5 \cdot 29^{2} \)	\( 2^{4} \cdot 5 \cdot 29^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.3, 3.4.0.1	2B, 3B	$3480$	$384$	$9$	$1$	$4$	$2$	$1$	$12096$	$0.753697$	$16384/5$	$0.95621$	$3.35862$	$[0, -1, 0, -1121, 10310]$	\(y^2=x^3-x^2-1121x+10310\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.b.1, 6.12.0.a.1, 10.6.0.a.1, $\ldots$	$[]$
16820.c4	16820b2	16820.c	16820b	$4$	$6$	\( 2^{2} \cdot 5 \cdot 29^{2} \)	\( - 2^{8} \cdot 5^{2} \cdot 29^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.5, 3.4.0.1	2B, 3B	$3480$	$384$	$9$	$1$	$4$	$2$	$1$	$24192$	$1.100271$	$21296/25$	$0.83964$	$3.67340$	$[0, -1, 0, 3084, 65816]$	\(y^2=x^3-x^2+3084x+65816\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.a.1, 6.12.0.a.1, 12.24.0.d.1, $\ldots$	$[]$