Elliptic curves over $\Q$ of conductor 8015

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
8015.a1	8015f1	8015.a	8015f	$1$	$1$	\( 5 \cdot 7 \cdot 229 \)	\( - 5^{5} \cdot 7 \cdot 229^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$70$	$2$	$0$	$1$	$1$		$0$	$121080$	$1.700172$	$-41274287110762297307136/1147146875$	$0.99310$	$5.79309$	$[0, 0, 1, -719977, -235139748]$	\(y^2+y=x^3-719977x-235139748\)	70.2.0.a.1	$[]$
8015.b1	8015c1	8015.b	8015c	$1$	$1$	\( 5 \cdot 7 \cdot 229 \)	\( - 5^{2} \cdot 7 \cdot 229 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$3206$	$2$	$0$	$5.796689682$	$1$		$2$	$11520$	$0.936790$	$-5599555336135036081/40075$	$0.92330$	$4.80241$	$[1, 0, 0, -36995, -2741900]$	\(y^2+xy=x^3-36995x-2741900\)	3206.2.0.?	$[(625, 14465)]$
8015.c1	8015b1	8015.c	8015b	$1$	$1$	\( 5 \cdot 7 \cdot 229 \)	\( - 5^{5} \cdot 7^{4} \cdot 229 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$4580$	$2$	$0$	$0.231442143$	$1$		$4$	$2880$	$0.454642$	$411664745519/1718215625$	$0.84517$	$3.17831$	$[1, 0, 0, 155, -1838]$	\(y^2+xy=x^3+155x-1838\)	4580.2.0.?	$[(9, 13)]$
8015.d1	8015e3	8015.d	8015e	$4$	$4$	\( 5 \cdot 7 \cdot 229 \)	\( 5 \cdot 7^{2} \cdot 229^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	4.12.0.8	2B	$9160$	$48$	$0$	$1$	$1$		$0$	$9408$	$0.965448$	$1527271621918281/673764327845$	$0.93953$	$3.88942$	$[1, -1, 0, -2399, -21452]$	\(y^2+xy=x^3-x^2-2399x-21452\)	2.3.0.a.1, 4.12.0-4.c.1.2, 10.6.0.a.1, 20.24.0-20.g.1.1, 1832.24.0.?, $\ldots$	$[]$
8015.d2	8015e2	8015.d	8015e	$4$	$4$	\( 5 \cdot 7 \cdot 229 \)	\( 5^{2} \cdot 7^{4} \cdot 229^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	4.12.0.1	2Cs	$4580$	$48$	$0$	$1$	$1$		$2$	$4704$	$0.618875$	$179034228973881/3147771025$	$0.90502$	$3.65094$	$[1, -1, 0, -1174, 15543]$	\(y^2+xy=x^3-x^2-1174x+15543\)	2.6.0.a.1, 4.12.0-2.a.1.1, 20.24.0-20.b.1.2, 916.24.0.?, 4580.48.0.?	$[]$
8015.d3	8015e1	8015.d	8015e	$4$	$4$	\( 5 \cdot 7 \cdot 229 \)	\( 5 \cdot 7^{2} \cdot 229 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.12.0.6	2B	$9160$	$48$	$0$	$1$	$1$		$1$	$2352$	$0.272301$	$176756829459561/56105$	$0.87503$	$3.64952$	$[1, -1, 0, -1169, 15680]$	\(y^2+xy=x^3-x^2-1169x+15680\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 20.12.0-4.c.1.2, 40.24.0-40.z.1.10, $\ldots$	$[]$
8015.d4	8015e4	8015.d	8015e	$4$	$4$	\( 5 \cdot 7 \cdot 229 \)	\( - 5^{4} \cdot 7^{8} \cdot 229 \)	$0$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	4.12.0.7	2B	$9160$	$48$	$0$	$1$	$1$		$2$	$9408$	$0.965448$	$-2749884201/825087143125$	$1.01672$	$3.88177$	$[1, -1, 0, -29, 43710]$	\(y^2+xy=x^3-x^2-29x+43710\)	2.3.0.a.1, 4.12.0-4.c.1.1, 40.24.0-40.z.1.4, 916.24.0.?, 9160.48.0.?	$[]$
8015.e1	8015a1	8015.e	8015a	$1$	$1$	\( 5 \cdot 7 \cdot 229 \)	\( - 5^{2} \cdot 7^{7} \cdot 229 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$3206$	$2$	$0$	$1$	$1$		$0$	$4480$	$0.536480$	$-141339344329/4714783675$	$0.86946$	$3.30912$	$[1, 1, 0, -108, 3287]$	\(y^2+xy=x^3+x^2-108x+3287\)	3206.2.0.?	$[]$
8015.f1	8015d1	8015.f	8015d	$1$	$1$	\( 5 \cdot 7 \cdot 229 \)	\( - 5^{3} \cdot 7^{3} \cdot 229^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$70$	$2$	$0$	$1.032176579$	$1$		$0$	$4680$	$0.507526$	$-7095597469696/2248407875$	$0.83972$	$3.34041$	$[0, 1, 1, -400, -3969]$	\(y^2+y=x^3+x^2-400x-3969\)	70.2.0.a.1	$[(405/2, 8011/2)]$