Elliptic curves over $\Q$ of conductor 2288

Results (15 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
2288.a1	2288b1	2288.a	2288b	$1$	$1$	\( 2^{4} \cdot 11 \cdot 13 \)	\( - 2^{11} \cdot 11^{2} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$104$	$2$	$0$	$0.463413701$	$1$		$4$	$832$	$-0.065001$	$1317006/1573$	$0.79865$	$2.81528$	$[0, 0, 0, 29, -62]$	\(y^2=x^3+29x-62\)	104.2.0.?	$[(7, 22)]$
2288.b1	2288j1	2288.b	2288j	$1$	$1$	\( 2^{4} \cdot 11 \cdot 13 \)	\( - 2^{15} \cdot 11^{5} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1144$	$2$	$0$	$0.100690911$	$1$		$8$	$1440$	$0.783534$	$-31824875809/16749304$	$0.91184$	$4.28523$	$[0, 1, 0, -1056, 17908]$	\(y^2=x^3+x^2-1056x+17908\)	1144.2.0.?	$[(-22, 176)]$
2288.c1	2288g1	2288.c	2288g	$1$	$1$	\( 2^{4} \cdot 11 \cdot 13 \)	\( - 2^{13} \cdot 11 \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1144$	$2$	$0$	$0.293580288$	$1$		$6$	$288$	$-0.156635$	$-1/286$	$0.98503$	$2.77017$	$[0, 1, 0, 0, 52]$	\(y^2=x^3+x^2+52\)	1144.2.0.?	$[(2, 8)]$
2288.d1	2288d1	2288.d	2288d	$1$	$1$	\( 2^{4} \cdot 11 \cdot 13 \)	\( - 2^{11} \cdot 11 \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1144$	$2$	$0$	$1$	$1$		$0$	$352$	$-0.025549$	$-162365474/143$	$0.83046$	$3.42987$	$[0, 1, 0, -144, -716]$	\(y^2=x^3+x^2-144x-716\)	1144.2.0.?	$[]$
2288.e1	2288a1	2288.e	2288a	$1$	$1$	\( 2^{4} \cdot 11 \cdot 13 \)	\( - 2^{8} \cdot 11^{7} \cdot 13^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$22$	$2$	$0$	$4.035953441$	$1$		$2$	$2240$	$1.001320$	$-10333900063744/3293331899$	$0.95247$	$4.64749$	$[0, -1, 0, -2881, -73171]$	\(y^2=x^3-x^2-2881x-73171\)	22.2.0.a.1	$[(172, 2119)]$
2288.f1	2288c1	2288.f	2288c	$1$	$1$	\( 2^{4} \cdot 11 \cdot 13 \)	\( - 2^{8} \cdot 11 \cdot 13^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$22$	$2$	$0$	$1$	$1$		$0$	$320$	$0.066420$	$-6072054784/1859$	$0.86901$	$3.62910$	$[0, -1, 0, -241, -1363]$	\(y^2=x^3-x^2-241x-1363\)	22.2.0.a.1	$[]$
2288.g1	2288f2	2288.g	2288f	$2$	$3$	\( 2^{4} \cdot 11 \cdot 13 \)	\( - 2^{8} \cdot 11 \cdot 13^{6} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$132$	$16$	$0$	$0.194846918$	$1$		$4$	$1440$	$0.726896$	$-2009615368192/53094899$	$0.98401$	$4.38486$	$[0, -1, 0, -1669, 27401]$	\(y^2=x^3-x^2-1669x+27401\)	3.4.0.a.1, 12.8.0-3.a.1.2, 22.2.0.a.1, 66.8.0.a.1, 132.16.0.?	$[(25, 26)]$
2288.g2	2288f1	2288.g	2288f	$2$	$3$	\( 2^{4} \cdot 11 \cdot 13 \)	\( - 2^{8} \cdot 11^{3} \cdot 13^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$132$	$16$	$0$	$0.584540754$	$1$		$4$	$480$	$0.177590$	$321978368/224939$	$0.94569$	$3.24936$	$[0, -1, 0, 91, 121]$	\(y^2=x^3-x^2+91x+121\)	3.4.0.a.1, 12.8.0-3.a.1.1, 22.2.0.a.1, 66.8.0.a.1, 132.16.0.?	$[(5, 26)]$
2288.h1	2288k1	2288.h	2288k	$1$	$1$	\( 2^{4} \cdot 11 \cdot 13 \)	\( - 2^{25} \cdot 11^{2} \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$104$	$2$	$0$	$1$	$1$		$0$	$2496$	$0.737144$	$241804367/12886016$	$0.94938$	$4.15403$	$[0, 1, 0, 208, -10924]$	\(y^2=x^3+x^2+208x-10924\)	104.2.0.?	$[]$
2288.i1	2288h1	2288.i	2288h	$1$	$1$	\( 2^{4} \cdot 11 \cdot 13 \)	\( - 2^{15} \cdot 11^{2} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$104$	$2$	$0$	$0.840576306$	$1$		$4$	$576$	$0.348952$	$-4165509529/12584$	$0.87863$	$3.93941$	$[0, 1, 0, -536, -4972]$	\(y^2=x^3+x^2-536x-4972\)	104.2.0.?	$[(38, 176)]$
2288.j1	2288i1	2288.j	2288i	$1$	$1$	\( 2^{4} \cdot 11 \cdot 13 \)	\( - 2^{12} \cdot 11 \cdot 13^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$22$	$2$	$0$	$0.871346365$	$1$		$2$	$288$	$0.003649$	$-262144/1859$	$0.89320$	$3.02229$	$[0, 1, 0, -21, 131]$	\(y^2=x^3+x^2-21x+131\)	22.2.0.a.1	$[(-2, 13)]$
2288.k1	2288e2	2288.k	2288e	$2$	$5$	\( 2^{4} \cdot 11 \cdot 13 \)	\( - 2^{13} \cdot 11^{10} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.12.0.2	5B.4.2	$520$	$48$	$1$	$1.976430073$	$1$		$0$	$14400$	$1.944403$	$-2409558590804994721/674373039626$	$1.10476$	$6.54704$	$[0, 1, 0, -446880, 114862196]$	\(y^2=x^3+x^2-446880x+114862196\)	5.12.0.a.2, 20.24.0-5.a.2.2, 104.2.0.?, 520.48.1.?	$[(7684/5, 322102/5)]$
2288.k2	2288e1	2288.k	2288e	$2$	$5$	\( 2^{4} \cdot 11 \cdot 13 \)	\( - 2^{17} \cdot 11^{2} \cdot 13^{5} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.12.0.1	5B.4.1	$520$	$48$	$1$	$0.395286014$	$1$		$4$	$2880$	$1.139683$	$2427173723519/1437646496$	$0.99639$	$4.76192$	$[0, 1, 0, 4480, -16204]$	\(y^2=x^3+x^2+4480x-16204\)	5.12.0.a.1, 20.24.0-5.a.1.2, 104.2.0.?, 520.48.1.?	$[(20, 286)]$
2288.l1	2288l1	2288.l	2288l	$2$	$3$	\( 2^{4} \cdot 11 \cdot 13 \)	\( - 2^{17} \cdot 11 \cdot 13^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$3432$	$16$	$0$	$1$	$1$		$0$	$1440$	$0.503650$	$-30664297/773344$	$0.91386$	$3.79470$	$[0, -1, 0, -104, -2704]$	\(y^2=x^3-x^2-104x-2704\)	3.4.0.a.1, 12.8.0-3.a.1.1, 1144.2.0.?, 3432.16.0.?	$[]$
2288.l2	2288l2	2288.l	2288l	$2$	$3$	\( 2^{4} \cdot 11 \cdot 13 \)	\( - 2^{27} \cdot 11^{3} \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$3432$	$16$	$0$	$1$	$1$		$0$	$4320$	$1.052956$	$22117051943/566984704$	$1.12064$	$4.64169$	$[0, -1, 0, 936, 72176]$	\(y^2=x^3-x^2+936x+72176\)	3.4.0.a.1, 12.8.0-3.a.1.2, 1144.2.0.?, 3432.16.0.?	$[]$