Elliptic curves over $\Q$ of conductor 8016

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
8016.a1	8016g1	8016.a	8016g	$1$	$1$	\( 2^{4} \cdot 3 \cdot 167 \)	\( - 2^{19} \cdot 3^{4} \cdot 167 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1336$	$2$	$0$	$0.742503462$	$1$		$4$	$5376$	$0.588646$	$-2181825073/1731456$	$0.88543$	$3.41350$	$[0, -1, 0, -432, -5184]$	\(y^2=x^3-x^2-432x-5184\)	1336.2.0.?	$[(72, 576)]$
8016.b1	8016e1	8016.b	8016e	$1$	$1$	\( 2^{4} \cdot 3 \cdot 167 \)	\( - 2^{15} \cdot 3^{14} \cdot 167 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1336$	$2$	$0$	$1$	$1$		$0$	$24192$	$1.470547$	$-3843995587427449/6390046584$	$0.97481$	$4.91767$	$[0, -1, 0, -52216, -4581776]$	\(y^2=x^3-x^2-52216x-4581776\)	1336.2.0.?	$[]$
8016.c1	8016b1	8016.c	8016b	$1$	$1$	\( 2^{4} \cdot 3 \cdot 167 \)	\( - 2^{11} \cdot 3^{2} \cdot 167 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1336$	$2$	$0$	$0.178421141$	$1$		$8$	$1152$	$0.161314$	$-1405190738/1503$	$0.85289$	$3.19160$	$[0, -1, 0, -296, 2064]$	\(y^2=x^3-x^2-296x+2064\)	1336.2.0.?	$[(8, 12)]$
8016.d1	8016c2	8016.d	8016c	$2$	$2$	\( 2^{4} \cdot 3 \cdot 167 \)	\( 2^{10} \cdot 3^{5} \cdot 167^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2004$	$12$	$0$	$1$	$1$		$1$	$7040$	$0.844630$	$14566408766500/6777027$	$0.93265$	$4.14289$	$[0, -1, 0, -5128, 143008]$	\(y^2=x^3-x^2-5128x+143008\)	2.3.0.a.1, 12.6.0.a.1, 668.6.0.?, 2004.12.0.?	$[]$
8016.d2	8016c1	8016.d	8016c	$2$	$2$	\( 2^{4} \cdot 3 \cdot 167 \)	\( - 2^{8} \cdot 3^{10} \cdot 167 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2004$	$12$	$0$	$1$	$1$		$1$	$3520$	$0.498057$	$-8346562000/9861183$	$0.87566$	$3.28201$	$[0, -1, 0, -268, 3040]$	\(y^2=x^3-x^2-268x+3040\)	2.3.0.a.1, 12.6.0.b.1, 334.6.0.?, 2004.12.0.?	$[]$
8016.e1	8016a2	8016.e	8016a	$2$	$2$	\( 2^{4} \cdot 3 \cdot 167 \)	\( 2^{11} \cdot 3^{2} \cdot 167^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$1336$	$12$	$0$	$0.813899502$	$1$		$7$	$2560$	$0.399617$	$1911343250/251001$	$0.86113$	$3.22562$	$[0, -1, 0, -328, -1904]$	\(y^2=x^3-x^2-328x-1904\)	2.3.0.a.1, 8.6.0.b.1, 668.6.0.?, 1336.12.0.?	$[(-8, 12)]$
8016.e2	8016a1	8016.e	8016a	$2$	$2$	\( 2^{4} \cdot 3 \cdot 167 \)	\( - 2^{10} \cdot 3^{4} \cdot 167 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.1	2B	$1336$	$12$	$0$	$1.627799005$	$1$		$5$	$1280$	$0.053043$	$3429500/13527$	$0.81257$	$2.64094$	$[0, -1, 0, 32, -176]$	\(y^2=x^3-x^2+32x-176\)	2.3.0.a.1, 8.6.0.c.1, 334.6.0.?, 1336.12.0.?	$[(6, 14)]$
8016.f1	8016f2	8016.f	8016f	$2$	$2$	\( 2^{4} \cdot 3 \cdot 167 \)	\( 2^{15} \cdot 3 \cdot 167^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4008$	$12$	$0$	$1$	$1$		$1$	$6912$	$0.678295$	$213525509833/669336$	$0.91066$	$3.82735$	$[0, -1, 0, -1992, 34800]$	\(y^2=x^3-x^2-1992x+34800\)	2.3.0.a.1, 24.6.0.a.1, 668.6.0.?, 4008.12.0.?	$[]$
8016.f2	8016f1	8016.f	8016f	$2$	$2$	\( 2^{4} \cdot 3 \cdot 167 \)	\( - 2^{18} \cdot 3^{2} \cdot 167 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4008$	$12$	$0$	$1$	$1$		$1$	$3456$	$0.331721$	$-10218313/96192$	$0.87168$	$3.03767$	$[0, -1, 0, -72, 1008]$	\(y^2=x^3-x^2-72x+1008\)	2.3.0.a.1, 24.6.0.d.1, 334.6.0.?, 4008.12.0.?	$[]$
8016.g1	8016j2	8016.g	8016j	$2$	$2$	\( 2^{4} \cdot 3 \cdot 167 \)	\( 2^{12} \cdot 3 \cdot 167^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2004$	$12$	$0$	$2.068238423$	$1$		$3$	$5888$	$0.336732$	$217081801/83667$	$0.85857$	$3.06074$	$[0, 1, 0, -200, 564]$	\(y^2=x^3+x^2-200x+564\)	2.3.0.a.1, 12.6.0.a.1, 668.6.0.?, 2004.12.0.?	$[(12, 6)]$
8016.g2	8016j1	8016.g	8016j	$2$	$2$	\( 2^{4} \cdot 3 \cdot 167 \)	\( - 2^{12} \cdot 3^{2} \cdot 167 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2004$	$12$	$0$	$1.034119211$	$1$		$7$	$2944$	$-0.009841$	$1685159/1503$	$0.79620$	$2.52026$	$[0, 1, 0, 40, 84]$	\(y^2=x^3+x^2+40x+84\)	2.3.0.a.1, 12.6.0.b.1, 334.6.0.?, 2004.12.0.?	$[(4, 18)]$
8016.h1	8016h2	8016.h	8016h	$2$	$2$	\( 2^{4} \cdot 3 \cdot 167 \)	\( 2^{13} \cdot 3^{4} \cdot 167^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$1336$	$12$	$0$	$1.092713146$	$1$		$7$	$9216$	$1.027817$	$70470585447625/4518018$	$0.95235$	$4.47248$	$[0, 1, 0, -13768, 617204]$	\(y^2=x^3+x^2-13768x+617204\)	2.3.0.a.1, 8.6.0.b.1, 668.6.0.?, 1336.12.0.?	$[(68, 6)]$
8016.h2	8016h1	8016.h	8016h	$2$	$2$	\( 2^{4} \cdot 3 \cdot 167 \)	\( - 2^{14} \cdot 3^{8} \cdot 167 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.1	2B	$1336$	$12$	$0$	$0.546356573$	$1$		$9$	$4608$	$0.681243$	$-14260515625/4382748$	$0.95237$	$3.57368$	$[0, 1, 0, -808, 10676]$	\(y^2=x^3+x^2-808x+10676\)	2.3.0.a.1, 8.6.0.c.1, 334.6.0.?, 1336.12.0.?	$[(14, 48)]$
8016.i1	8016d1	8016.i	8016d	$1$	$1$	\( 2^{4} \cdot 3 \cdot 167 \)	\( - 2^{11} \cdot 3^{8} \cdot 167 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1336$	$2$	$0$	$0.338056056$	$1$		$6$	$3584$	$0.476532$	$219804478/1095687$	$0.88501$	$3.21084$	$[0, 1, 0, 160, 2196]$	\(y^2=x^3+x^2+160x+2196\)	1336.2.0.?	$[(4, 54)]$
8016.j1	8016i1	8016.j	8016i	$1$	$1$	\( 2^{4} \cdot 3 \cdot 167 \)	\( - 2^{35} \cdot 3^{2} \cdot 167 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1336$	$2$	$0$	$3.718249582$	$1$		$2$	$26496$	$1.320257$	$19785968032823/12608077824$	$0.98193$	$4.33117$	$[0, 1, 0, 9016, -101772]$	\(y^2=x^3+x^2+9016x-101772\)	1336.2.0.?	$[(76, 1014)]$