Elliptic curves over $\Q$ of conductor 62866

Results (12 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
62866.a1	62866d1	62866.a	62866d	$1$	$1$	\( 2 \cdot 17 \cdot 43^{2} \)	\( - 2^{20} \cdot 17^{5} \cdot 43^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1462$	$2$	$0$	$1$	$1$		$0$	$13305600$	$3.217968$	$-26827837227982881/64019602866176$	$0.99543$	$5.61414$	$[1, -1, 0, -11531635, 34119806197]$	\(y^2+xy=x^3-x^2-11531635x+34119806197\)	1462.2.0.?	$[]$
62866.b1	62866b2	62866.b	62866b	$2$	$2$	\( 2 \cdot 17 \cdot 43^{2} \)	\( 2^{2} \cdot 17^{2} \cdot 43^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2924$	$12$	$0$	$1$	$1$		$0$	$1064448$	$2.106388$	$85468909049649/49708$	$1.00898$	$4.94593$	$[1, -1, 0, -1696804, 851161524]$	\(y^2+xy=x^3-x^2-1696804x+851161524\)	2.3.0.a.1, 68.6.0.c.1, 172.6.0.?, 2924.12.0.?	$[]$
62866.b2	62866b1	62866.b	62866b	$2$	$2$	\( 2 \cdot 17 \cdot 43^{2} \)	\( 2^{4} \cdot 17 \cdot 43^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2924$	$12$	$0$	$1$	$1$		$1$	$532224$	$1.759815$	$21230922609/502928$	$0.86112$	$4.19467$	$[1, -1, 0, -106664, 13157744]$	\(y^2+xy=x^3-x^2-106664x+13157744\)	2.3.0.a.1, 34.6.0.a.1, 172.6.0.?, 2924.12.0.?	$[]$
62866.c1	62866a2	62866.c	62866a	$2$	$7$	\( 2 \cdot 17 \cdot 43^{2} \)	\( - 2 \cdot 17^{7} \cdot 43^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.8.0.1	7B	$40936$	$96$	$2$	$1$	$1$		$0$	$74088$	$1.021738$	$-164189503521/820677346$	$0.97649$	$3.22320$	$[1, -1, 0, -1400, 62954]$	\(y^2+xy=x^3-x^2-1400x+62954\)	7.8.0.a.1, 136.2.0.?, 301.48.0.?, 952.16.0.?, 40936.96.2.?	$[]$
62866.c2	62866a1	62866.c	62866a	$2$	$7$	\( 2 \cdot 17 \cdot 43^{2} \)	\( - 2^{7} \cdot 17 \cdot 43^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.8.0.1	7B	$40936$	$96$	$2$	$1$	$1$		$0$	$10584$	$0.048784$	$-80017281/2176$	$0.88832$	$2.33203$	$[1, -1, 0, -110, -428]$	\(y^2+xy=x^3-x^2-110x-428\)	7.8.0.a.1, 136.2.0.?, 301.48.0.?, 952.16.0.?, 40936.96.2.?	$[]$
62866.d1	62866c4	62866.d	62866c	$4$	$6$	\( 2 \cdot 17 \cdot 43^{2} \)	\( 2 \cdot 17^{6} \cdot 43^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	8.6.0.6, 3.4.0.1	2B, 3B	$17544$	$96$	$1$	$1$	$16$	$2$	$0$	$943488$	$2.060089$	$159661140625/48275138$	$1.06848$	$4.37728$	$[1, 1, 0, -208975, 25321947]$	\(y^2+xy=x^3+x^2-208975x+25321947\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.b.1, 24.24.0.y.1, $\ldots$	$[]$
62866.d2	62866c3	62866.d	62866c	$4$	$6$	\( 2 \cdot 17 \cdot 43^{2} \)	\( 2^{2} \cdot 17^{3} \cdot 43^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	8.6.0.1, 3.4.0.1	2B, 3B	$17544$	$96$	$1$	$1$	$4$	$2$	$1$	$471744$	$1.713514$	$120920208625/19652$	$0.98564$	$4.35213$	$[1, 1, 0, -190485, 31915481]$	\(y^2+xy=x^3+x^2-190485x+31915481\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.c.1, 24.24.0.bw.1, $\ldots$	$[]$
62866.d3	62866c2	62866.d	62866c	$4$	$6$	\( 2 \cdot 17 \cdot 43^{2} \)	\( 2^{3} \cdot 17^{2} \cdot 43^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	8.6.0.6, 3.4.0.1	2B, 3B	$17544$	$96$	$1$	$1$	$16$	$2$	$0$	$314496$	$1.510782$	$8805624625/2312$	$0.96590$	$4.11502$	$[1, 1, 0, -79545, -8666371]$	\(y^2+xy=x^3+x^2-79545x-8666371\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.b.1, 24.24.0.y.1, $\ldots$	$[]$
62866.d4	62866c1	62866.d	62866c	$4$	$6$	\( 2 \cdot 17 \cdot 43^{2} \)	\( 2^{6} \cdot 17 \cdot 43^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	8.6.0.1, 3.4.0.1	2B, 3B	$17544$	$96$	$1$	$1$	$4$	$2$	$1$	$157248$	$1.164207$	$3048625/1088$	$0.90010$	$3.39381$	$[1, 1, 0, -5585, -101803]$	\(y^2+xy=x^3+x^2-5585x-101803\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.c.1, 24.24.0.bw.1, $\ldots$	$[]$
62866.e1	62866e2	62866.e	62866e	$2$	$7$	\( 2 \cdot 17 \cdot 43^{2} \)	\( - 2 \cdot 17^{7} \cdot 43^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.16.0.2	7B.2.3	$40936$	$96$	$2$	$1$	$49$	$7$	$0$	$3185784$	$2.902340$	$-164189503521/820677346$	$0.97649$	$5.26570$	$[1, -1, 1, -2588947, -4976806507]$	\(y^2+xy+y=x^3-x^2-2588947x-4976806507\)	7.16.0-7.a.1.1, 136.2.0.?, 301.48.0.?, 952.32.0.?, 40936.96.2.?	$[]$
62866.e2	62866e1	62866.e	62866e	$2$	$7$	\( 2 \cdot 17 \cdot 43^{2} \)	\( - 2^{7} \cdot 17 \cdot 43^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.16.0.1	7B.2.1	$40936$	$96$	$2$	$1$	$1$		$0$	$455112$	$1.929384$	$-80017281/2176$	$0.88832$	$4.37454$	$[1, -1, 1, -203737, 36268857]$	\(y^2+xy+y=x^3-x^2-203737x+36268857\)	7.16.0-7.a.1.2, 136.2.0.?, 301.48.0.?, 952.32.0.?, 40936.96.2.?	$[]$
62866.f1	62866f1	62866.f	62866f	$1$	$1$	\( 2 \cdot 17 \cdot 43^{2} \)	\( - 2^{4} \cdot 17 \cdot 43^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1462$	$2$	$0$	$2.672616442$	$1$		$0$	$177408$	$1.350117$	$18191447/11696$	$0.87288$	$3.55548$	$[1, 0, 0, 10131, -129919]$	\(y^2+xy=x^3+10131x-129919\)	1462.2.0.?	$[(496/5, 33891/5)]$