Elliptic curves over Q\Q of conductor 182

Results (10 matches)

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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
182.a1	182c1	182.a	182c	$1$	$1$	$2 \cdot 7 \cdot 13$	$- 2^{11} \cdot 7^{7} \cdot 13$	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$728$	$2$	$0$	$1$	$1$		$0$	$308$	$0.871167$	$-10824513276632329/21926008832$	$0.99602$	$7.09532$	$[1, 0, 1, -4609, 120244]$	$y^2+xy+y=x^3-4609x+120244$	728.2.0.?	$[]$
182.b1	182e1	182.b	182e	$1$	$1$	$2 \cdot 7 \cdot 13$	$- 2^{7} \cdot 7 \cdot 13^{5}$	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$728$	$2$	$0$	$1$	$1$		$0$	$140$	$0.314436$	$-1207949625/332678528$	$1.06089$	$5.20359$	$[1, -1, 0, -22, 884]$	$y^2+xy=x^3-x^2-22x+884$	728.2.0.?	$[]$
182.c1	182a4	182.c	182a	$4$	$4$	$2 \cdot 7 \cdot 13$	$2^{5} \cdot 7^{3} \cdot 13^{8}$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.24.0.103	2B	$56$	$48$	$0$	$1$	$1$		$0$	$720$	$1.450006$	$22868021811807457713/8953460393696$	$1.08758$	$8.56576$	$[1, -1, 1, -59134, 5547693]$	$y^2+xy+y=x^3-x^2-59134x+5547693$	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.p.1.7, 28.12.0-4.c.1.1, 56.48.0-56.bp.1.3	$[]$
182.c2	182a3	182.c	182a	$4$	$4$	$2 \cdot 7 \cdot 13$	$2^{5} \cdot 7^{12} \cdot 13^{2}$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.24.0.58	2B	$56$	$48$	$0$	$1$	$1$		$0$	$720$	$1.450006$	$3389174547561866673/74853681183008$	$1.05145$	$8.19890$	$[1, -1, 1, -31294, -2081875]$	$y^2+xy+y=x^3-x^2-31294x-2081875$	2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.k.1.1, 56.48.0-56.v.1.8	$[]$
182.c3	182a2	182.c	182a	$4$	$4$	$2 \cdot 7 \cdot 13$	$2^{10} \cdot 7^{6} \cdot 13^{4}$	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.24.0.1	2Cs	$56$	$48$	$0$	$1$	$1$		$2$	$360$	$1.103434$	$8511781274893233/3440817243136$	$1.08472$	$7.04846$	$[1, -1, 1, -4254, 59693]$	$y^2+xy+y=x^3-x^2-4254x+59693$	2.6.0.a.1, 4.12.0-2.a.1.1, 8.24.0-8.a.1.2, 28.24.0-28.b.1.1, 56.48.0-56.d.1.3	$[]$
182.c4	182a1	182.c	182a	$4$	$4$	$2 \cdot 7 \cdot 13$	$- 2^{20} \cdot 7^{3} \cdot 13^{2}$	$0$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.24.0.50	2B	$56$	$48$	$0$	$1$	$1$		$3$	$180$	$0.756860$	$71903073502287/60782804992$	$1.03131$	$6.13111$	$[1, -1, 1, 866, 6445]$	$y^2+xy+y=x^3-x^2+866x+6445$	2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.p.1.1, 14.6.0.b.1, 28.24.0-28.g.1.2, $\ldots$	$[]$
182.d1	182b3	182.d	182b	$3$	$9$	$2 \cdot 7 \cdot 13$	$- 2 \cdot 7 \cdot 13$	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓		$3$	9.24.0.3	3B.1.2	$6552$	$144$	$3$	$1$	$9$	$3$	$0$	$108$	$0.680457$	$-424962187484640625/182$	$1.05379$	$7.79991$	$[1, 0, 0, -15663, -755809]$	$y^2+xy=x^3-15663x-755809$	3.8.0-3.a.1.1, 9.24.0-9.a.1.1, 728.2.0.?, 819.72.0.?, 2184.16.0.?, $\ldots$	$[]$
182.d2	182b2	182.d	182b	$3$	$9$	$2 \cdot 7 \cdot 13$	$- 2^{3} \cdot 7^{3} \cdot 13^{3}$	$0$	$\Z/3\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$3$	3.24.0.1	3Cs.1.1	$6552$	$144$	$3$	$1$	$1$		$2$	$36$	$0.131151$	$-795309684625/6028568$	$0.94067$	$5.26806$	$[1, 0, 0, -193, -1055]$	$y^2+xy=x^3-193x-1055$	3.24.0-3.a.1.1, 728.2.0.?, 819.72.0.?, 2184.48.1.?, 6552.144.3.?	$[]$
182.d3	182b1	182.d	182b	$3$	$9$	$2 \cdot 7 \cdot 13$	$- 2^{9} \cdot 7 \cdot 13$	$0$	$\Z/3\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$3$	9.24.0.1	3B.1.1	$6552$	$144$	$3$	$1$	$1$		$2$	$12$	$-0.418155$	$37595375/46592$	$0.87083$	$3.37716$	$[1, 0, 0, 7, -7]$	$y^2+xy=x^3+7x-7$	3.8.0-3.a.1.2, 9.24.0-9.a.1.2, 728.2.0.?, 819.72.0.?, 2184.16.0.?, $\ldots$	$[]$
182.e1	182d1	182.e	182d	$1$	$1$	$2 \cdot 7 \cdot 13$	$- 2 \cdot 7^{3} \cdot 13$	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$728$	$2$	$0$	$1$	$1$		$0$	$36$	$-0.557857$	$4019679/8918$	$1.11550$	$3.12227$	$[1, -1, 1, 3, -5]$	$y^2+xy+y=x^3-x^2+3x-5$	728.2.0.?	$[]$

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