Elliptic curves over $\Q$ of conductor 14079

Results (9 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
14079.a1	14079c1	14079.a	14079c	$1$	$1$	\( 3 \cdot 13 \cdot 19^{2} \)	\( - 3^{10} \cdot 13^{4} \cdot 19^{13} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$38$	$2$	$0$	$2.477018555$	$1$		$0$	$5644800$	$3.641098$	$115540013304585949184/1507513337183302371$	$1.06289$	$7.00690$	$[0, -1, 1, 36630550, -396106112506]$	\(y^2+y=x^3-x^2+36630550x-396106112506\)	38.2.0.a.1	$[(2570942/17, 3910995914/17)]$
14079.b1	14079b1	14079.b	14079b	$1$	$1$	\( 3 \cdot 13 \cdot 19^{2} \)	\( - 3^{11} \cdot 13^{5} \cdot 19^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2964$	$2$	$0$	$0.978504601$	$1$		$4$	$633600$	$2.540321$	$-15789259762088617/1249695380349$	$0.97345$	$5.76742$	$[1, 1, 1, -1886774, 1062778664]$	\(y^2+xy+y=x^3+x^2-1886774x+1062778664\)	2964.2.0.?	$[(-1408, 31208)]$
14079.c1	14079e1	14079.c	14079e	$1$	$1$	\( 3 \cdot 13 \cdot 19^{2} \)	\( - 3^{7} \cdot 13^{3} \cdot 19^{11} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2964$	$2$	$0$	$1.123006613$	$1$		$4$	$604800$	$2.670258$	$19116191615070887/11897257043061$	$1.00837$	$5.77402$	$[1, 0, 0, 2010943, 301655646]$	\(y^2+xy=x^3+2010943x+301655646\)	2964.2.0.?	$[(14527, 1752070)]$
14079.d1	14079f1	14079.d	14079f	$1$	$1$	\( 3 \cdot 13 \cdot 19^{2} \)	\( - 3 \cdot 13 \cdot 19^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2964$	$2$	$0$	$1$	$1$		$0$	$11520$	$0.730880$	$-1771561/741$	$0.86988$	$3.41253$	$[1, 0, 0, -910, 13793]$	\(y^2+xy=x^3-910x+13793\)	2964.2.0.?	$[]$
14079.e1	14079d4	14079.e	14079d	$4$	$4$	\( 3 \cdot 13 \cdot 19^{2} \)	\( 3^{4} \cdot 13 \cdot 19^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$5928$	$48$	$0$	$1.834828590$	$1$		$6$	$28800$	$1.153852$	$37159393753/1053$	$1.11616$	$4.39732$	$[1, 0, 0, -25097, 1528188]$	\(y^2+xy=x^3-25097x+1528188\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0.ba.1, 26.6.0.b.1, 52.12.0.g.1, $\ldots$	$[(91, -47)]$
14079.e2	14079d3	14079.e	14079d	$4$	$4$	\( 3 \cdot 13 \cdot 19^{2} \)	\( 3 \cdot 13^{4} \cdot 19^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$5928$	$48$	$0$	$7.339314361$	$1$		$0$	$28800$	$1.153852$	$822656953/85683$	$0.96086$	$3.99842$	$[1, 0, 0, -7047, -206778]$	\(y^2+xy=x^3-7047x-206778\)	2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 76.12.0.?, 104.12.0.?, $\ldots$	$[(-1486/5, 10528/5)]$
14079.e3	14079d2	14079.e	14079d	$4$	$4$	\( 3 \cdot 13 \cdot 19^{2} \)	\( 3^{2} \cdot 13^{2} \cdot 19^{6} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$2964$	$48$	$0$	$3.669657180$	$1$		$6$	$14400$	$0.807280$	$10218313/1521$	$0.91403$	$3.53903$	$[1, 0, 0, -1632, 21735]$	\(y^2+xy=x^3-1632x+21735\)	2.6.0.a.1, 12.12.0.a.1, 52.12.0.b.1, 76.12.0.?, 156.24.0.?, $\ldots$	$[(-45, 90)]$
14079.e4	14079d1	14079.e	14079d	$4$	$4$	\( 3 \cdot 13 \cdot 19^{2} \)	\( - 3 \cdot 13 \cdot 19^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$5928$	$48$	$0$	$7.339314361$	$1$		$1$	$7200$	$0.460706$	$12167/39$	$0.85844$	$2.99251$	$[1, 0, 0, 173, 1880]$	\(y^2+xy=x^3+173x+1880\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0.ba.1, 78.6.0.?, 104.12.0.?, $\ldots$	$[(-623/9, -4814/9)]$
14079.f1	14079a1	14079.f	14079a	$1$	$1$	\( 3 \cdot 13 \cdot 19^{2} \)	\( - 3^{4} \cdot 13^{2} \cdot 19^{7} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$38$	$2$	$0$	$0.994228516$	$1$		$12$	$23040$	$1.192633$	$-16777216/260091$	$1.03944$	$3.93897$	$[0, -1, 1, -1925, -170770]$	\(y^2+y=x^3-x^2-1925x-170770\)	38.2.0.a.1	$[(146, 1624), (1481/4, 42205/4)]$