Elliptic curves over $\Q$ of conductor 214484

Results (5 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	Manin constant
214484.a1	214484a1	214484.a	214484a	$2$	$2$	\( 2^{2} \cdot 29 \cdot 43^{2} \)	\( 2^{4} \cdot 29 \cdot 43^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$9976$	$48$	$0$	$1$	$1$		$1$	$578340$	$1.238035$	$5619712/29$	$0.88985$	$3.33021$	$[0, 1, 0, -17257, -874440]$	\(y^2=x^3+x^2-17257x-874440\)	2.3.0.a.1, 4.6.0.b.1, 58.6.0.a.1, 116.24.0.?, 344.12.0.?, $\ldots$	$[ ]$	$1$
214484.a2	214484a2	214484.a	214484a	$2$	$2$	\( 2^{2} \cdot 29 \cdot 43^{2} \)	\( - 2^{8} \cdot 29^{2} \cdot 43^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.5	2B	$9976$	$48$	$0$	$1$	$1$		$1$	$1156680$	$1.584610$	$-35152/841$	$0.85096$	$3.44784$	$[0, 1, 0, -8012, -1798940]$	\(y^2=x^3+x^2-8012x-1798940\)	2.3.0.a.1, 4.6.0.a.1, 116.12.0.?, 232.24.0.?, 344.12.0.?, $\ldots$	$[ ]$	$1$
214484.b1	214484b1	214484.b	214484b	$2$	$3$	\( 2^{2} \cdot 29 \cdot 43^{2} \)	\( - 2^{8} \cdot 29 \cdot 43^{6} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$14964$	$16$	$0$	$1$	$9$	$3$	$0$	$650160$	$1.321280$	$-35152/29$	$0.71422$	$3.21488$	$[0, -1, 0, -8012, -427256]$	\(y^2=x^3-x^2-8012x-427256\)	3.4.0.a.1, 116.2.0.?, 129.8.0.?, 348.8.0.?, 14964.16.0.?	$[ ]$	$1$
214484.b2	214484b2	214484.b	214484b	$2$	$3$	\( 2^{2} \cdot 29 \cdot 43^{2} \)	\( - 2^{8} \cdot 29^{3} \cdot 43^{6} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$14964$	$16$	$0$	$1$	$1$		$0$	$1950480$	$1.870586$	$19600688/24389$	$0.87422$	$3.66922$	$[0, -1, 0, 65948, 6968744]$	\(y^2=x^3-x^2+65948x+6968744\)	3.4.0.a.1, 116.2.0.?, 129.8.0.?, 348.8.0.?, 14964.16.0.?	$[ ]$	$1$
214484.c1	214484c1	214484.c	214484c	$1$	$1$	\( 2^{2} \cdot 29 \cdot 43^{2} \)	\( - 2^{8} \cdot 29 \cdot 43^{6} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$116$	$2$	$0$	$1$	$1$		$0$	$9631440$	$2.381397$	$-48707390098512/29$	$1.02954$	$4.85739$	$[0, 0, 0, -8932519, 10275643694]$	\(y^2=x^3-8932519x+10275643694\)	116.2.0.?	$[ ]$	$1$

  Download displayed columns for results to