Elliptic curves over Q\Q of conductor 2299

Results (7 matches)

  Download displayed columns for results to

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
2299.a1	2299b1	2299.a	2299b	$1$	$1$	$11^{2} \cdot 19$	$- 11^{3} \cdot 19^{2}$	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$22$	$2$	$0$	$0.143417313$	$1$		$24$	$864$	$-0.226640$	$110592/361$	$0.82546$	$2.62811$	$[0, 0, 1, 11, 30]$	$y^2+y=x^3+11x+30$	22.2.0.a.1	$[(3, 9), (0, 5)]$
2299.b1	2299d3	2299.b	2299d	$3$	$9$	$11^{2} \cdot 19$	$- 11^{6} \cdot 19$	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	27.36.0.1	3B	$11286$	$1296$	$43$	$1$	$1$		$0$	$4050$	$1.232388$	$-50357871050752/19$	$1.10495$	$5.93491$	$[0, 1, 1, -93089, 10900929]$	$y^2+y=x^3+x^2-93089x+10900929$	3.4.0.a.1, 9.12.0.a.1, 27.36.0.a.1, 33.8.0-3.a.1.1, 38.2.0.a.1, $\ldots$	$[]$
2299.b2	2299d2	2299.b	2299d	$3$	$9$	$11^{2} \cdot 19$	$- 11^{6} \cdot 19^{3}$	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	9.36.0.2	3Cs	$11286$	$1296$	$43$	$1$	$1$		$0$	$1350$	$0.683081$	$-89915392/6859$	$1.03310$	$4.24090$	$[0, 1, 1, -1129, 15164]$	$y^2+y=x^3+x^2-1129x+15164$	3.12.0.a.1, 9.36.0.b.1, 33.24.0-3.a.1.1, 38.2.0.a.1, 99.72.0.?, $\ldots$	$[]$
2299.b3	2299d1	2299.b	2299d	$3$	$9$	$11^{2} \cdot 19$	$- 11^{6} \cdot 19$	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	27.36.0.1	3B	$11286$	$1296$	$43$	$1$	$1$		$0$	$450$	$0.133775$	$32768/19$	$1.31757$	$3.20205$	$[0, 1, 1, 81, 39]$	$y^2+y=x^3+x^2+81x+39$	3.4.0.a.1, 9.12.0.a.1, 27.36.0.a.1, 33.8.0-3.a.1.2, 38.2.0.a.1, $\ldots$	$[]$
2299.c1	2299c1	2299.c	2299c	$2$	$3$	$11^{2} \cdot 19$	$- 11^{9} \cdot 19^{2}$	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$66$	$16$	$0$	$1$	$1$		$0$	$2880$	$1.010530$	$-2258403328/480491$	$0.89836$	$4.68182$	$[0, 1, 1, -3307, -86718]$	$y^2+y=x^3+x^2-3307x-86718$	3.4.0.a.1, 6.8.0-3.a.1.1, 22.2.0.a.1, 33.8.0-3.a.1.2, 66.16.0-66.a.1.3	$[]$
2299.c2	2299c2	2299.c	2299c	$2$	$3$	$11^{2} \cdot 19$	$- 11^{7} \cdot 19^{6}$	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$66$	$16$	$0$	$1$	$1$		$0$	$8640$	$1.559837$	$790939860992/517504691$	$1.13574$	$5.39827$	$[0, 1, 1, 23313, 502915]$	$y^2+y=x^3+x^2+23313x+502915$	3.4.0.a.1, 6.8.0-3.a.1.2, 22.2.0.a.1, 33.8.0-3.a.1.1, 66.16.0-66.a.1.2	$[]$
2299.d1	2299a1	2299.d	2299a	$1$	$1$	$11^{2} \cdot 19$	$- 11^{9} \cdot 19^{2}$	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$22$	$2$	$0$	$1.878050394$	$1$		$0$	$9504$	$0.972307$	$110592/361$	$0.82546$	$4.48688$	$[0, 0, 1, 1331, -40263]$	$y^2+y=x^3+1331x-40263$	22.2.0.a.1	$[(121/2, 1327/2)]$

  Download displayed columns for results to