Elliptic curves over $\Q$ of conductor 321346

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
321346.a1	321346a1	321346.a	321346a	$1$	$1$	\( 2 \cdot 31 \cdot 71 \cdot 73 \)	\( 2^{4} \cdot 31^{3} \cdot 71^{2} \cdot 73 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$9052$	$2$	$0$	$1$	$1$		$0$	$393984$	$1.037769$	$74865985387719625/175406071408$	$0.84182$	$3.06417$	$[1, 0, 1, -8781, -316776]$	\(y^2+xy+y=x^3-8781x-316776\)	9052.2.0.?	$[]$
321346.b1	321346b2	321346.b	321346b	$2$	$2$	\( 2 \cdot 31 \cdot 71 \cdot 73 \)	\( 2^{12} \cdot 31^{2} \cdot 71 \cdot 73^{4} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$8804$	$12$	$0$	$1.874152646$	$1$		$10$	$4521984$	$2.173439$	$409902464594359487449873/7936575003324416$	$0.92017$	$4.28778$	$[1, 0, 0, -1547577, 740872825]$	\(y^2+xy=x^3-1547577x+740872825\)	2.3.0.a.1, 124.6.0.?, 284.6.0.?, 8804.12.0.?	$[(734, 363), (722, -221)]$
321346.b2	321346b1	321346.b	321346b	$2$	$2$	\( 2 \cdot 31 \cdot 71 \cdot 73 \)	\( - 2^{24} \cdot 31 \cdot 71^{2} \cdot 73^{2} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$8804$	$12$	$0$	$1.874152646$	$1$		$13$	$2260992$	$1.826864$	$-90389301567546411793/13971531281465344$	$0.88499$	$3.64246$	$[1, 0, 0, -93497, 12378745]$	\(y^2+xy=x^3-93497x+12378745\)	2.3.0.a.1, 62.6.0.b.1, 284.6.0.?, 8804.12.0.?	$[(42, 2899), (210, 1315)]$
321346.c1	321346c2	321346.c	321346c	$2$	$2$	\( 2 \cdot 31 \cdot 71 \cdot 73 \)	\( 2 \cdot 31^{2} \cdot 71^{2} \cdot 73^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.6.0.6	2B	$1285384$	$12$	$0$	$6.427278869$	$1$		$0$	$512384$	$0.865745$	$4187683692006625/51631625858$	$0.82231$	$2.83676$	$[1, 1, 1, -3358, 72697]$	\(y^2+xy+y=x^3+x^2-3358x+72697\)	2.3.0.a.1, 8.6.0.b.1, 642692.6.0.?, 1285384.12.0.?	$[(2653/12, 211927/12)]$
321346.c2	321346c1	321346.c	321346c	$2$	$2$	\( 2 \cdot 31 \cdot 71 \cdot 73 \)	\( 2^{2} \cdot 31 \cdot 71 \cdot 73 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.6.0.1	2B	$1285384$	$12$	$0$	$12.85455773$	$1$		$1$	$256192$	$0.519171$	$4150382922402625/642692$	$0.82204$	$2.83606$	$[1, 1, 1, -3348, 73169]$	\(y^2+xy+y=x^3+x^2-3348x+73169\)	2.3.0.a.1, 8.6.0.c.1, 321346.6.0.?, 1285384.12.0.?	$[(2111361/241, 217529071/241)]$