Elliptic curves over $\Q$ of conductor 54760

Results (13 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
54760.a1	54760g1	54760.a	54760g	$1$	$1$	\( 2^{3} \cdot 5 \cdot 37^{2} \)	\( 2^{8} \cdot 5^{2} \cdot 37^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$74$	$2$	$0$	$0.415097585$	$1$		$4$	$612864$	$1.573822$	$9483264/925$	$0.74723$	$3.96635$	$[0, 0, 0, -38332, 2633956]$	\(y^2=x^3-38332x+2633956\)	74.2.0.?	$[(592, 13690)]$
54760.b1	54760e1	54760.b	54760e	$2$	$2$	\( 2^{3} \cdot 5 \cdot 37^{2} \)	\( 2^{8} \cdot 5 \cdot 37^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$1480$	$48$	$0$	$1$	$1$		$1$	$262656$	$1.591106$	$94875856/185$	$0.77951$	$4.17743$	$[0, 1, 0, -82596, 9093760]$	\(y^2=x^3+x^2-82596x+9093760\)	2.3.0.a.1, 4.6.0.b.1, 40.12.0-4.b.1.1, 296.12.0.?, 370.6.0.?, $\ldots$	$[]$
54760.b2	54760e2	54760.b	54760e	$2$	$2$	\( 2^{3} \cdot 5 \cdot 37^{2} \)	\( - 2^{10} \cdot 5^{2} \cdot 37^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.5	2B	$1480$	$48$	$0$	$1$	$1$		$1$	$525312$	$1.937679$	$-7086244/34225$	$0.93799$	$4.27154$	$[0, 1, 0, -55216, 15248784]$	\(y^2=x^3+x^2-55216x+15248784\)	2.3.0.a.1, 4.6.0.a.1, 20.12.0-4.a.1.2, 148.12.0.?, 740.24.0.?, $\ldots$	$[]$
54760.c1	54760f2	54760.c	54760f	$2$	$2$	\( 2^{3} \cdot 5 \cdot 37^{2} \)	\( 2^{11} \cdot 5^{2} \cdot 37^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1480$	$12$	$0$	$36.04225392$	$1$		$1$	$1960704$	$2.456356$	$4705274/25$	$0.84181$	$5.08556$	$[0, 1, 0, -2245616, -1290032480]$	\(y^2=x^3+x^2-2245616x-1290032480\)	2.3.0.a.1, 40.6.0.f.1, 296.6.0.?, 740.6.0.?, 1480.12.0.?	$[(-8140733987180769/2990089, 20850860618287595921984/2990089)]$
54760.c2	54760f1	54760.c	54760f	$2$	$2$	\( 2^{3} \cdot 5 \cdot 37^{2} \)	\( 2^{10} \cdot 5 \cdot 37^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1480$	$12$	$0$	$18.02112696$	$1$		$1$	$980352$	$2.109783$	$8788/5$	$0.80347$	$4.44617$	$[0, 1, 0, -219496, 5063424]$	\(y^2=x^3+x^2-219496x+5063424\)	2.3.0.a.1, 40.6.0.f.1, 296.6.0.?, 370.6.0.?, 1480.12.0.?	$[(-46585945/313, 44871893056/313)]$
54760.d1	54760b2	54760.d	54760b	$2$	$2$	\( 2^{3} \cdot 5 \cdot 37^{2} \)	\( 2^{11} \cdot 5^{2} \cdot 37^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1480$	$12$	$0$	$5.827927312$	$1$		$1$	$52992$	$0.650897$	$4705274/25$	$0.84181$	$3.09985$	$[0, 1, 0, -1640, -26000]$	\(y^2=x^3+x^2-1640x-26000\)	2.3.0.a.1, 40.6.0.f.1, 296.6.0.?, 740.6.0.?, 1480.12.0.?	$[(4525/2, 304325/2)]$
54760.d2	54760b1	54760.d	54760b	$2$	$2$	\( 2^{3} \cdot 5 \cdot 37^{2} \)	\( 2^{10} \cdot 5 \cdot 37^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1480$	$12$	$0$	$2.913963656$	$1$		$3$	$26496$	$0.304323$	$8788/5$	$0.80347$	$2.46046$	$[0, 1, 0, -160, 48]$	\(y^2=x^3+x^2-160x+48\)	2.3.0.a.1, 40.6.0.f.1, 296.6.0.?, 370.6.0.?, 1480.12.0.?	$[(-13, 10)]$
54760.e1	54760c4	54760.e	54760c	$4$	$4$	\( 2^{3} \cdot 5 \cdot 37^{2} \)	\( 2^{10} \cdot 5 \cdot 37^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.24.0.15	2B	$2960$	$192$	$3$	$1$	$4$	$2$	$1$	$202752$	$1.603245$	$132304644/5$	$1.13632$	$4.33497$	$[0, 0, 0, -146483, -21578178]$	\(y^2=x^3-146483x-21578178\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 10.6.0.a.1, 16.24.0.i.1, $\ldots$	$[]$
54760.e2	54760c2	54760.e	54760c	$4$	$4$	\( 2^{3} \cdot 5 \cdot 37^{2} \)	\( 2^{8} \cdot 5^{2} \cdot 37^{6} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.35	2Cs	$1480$	$192$	$3$	$1$	$1$		$3$	$101376$	$1.256672$	$148176/25$	$1.09175$	$3.58518$	$[0, 0, 0, -9583, -303918]$	\(y^2=x^3-9583x-303918\)	2.6.0.a.1, 4.12.0.a.1, 8.24.0.g.1, 20.24.0.b.1, 40.96.3.bk.1, $\ldots$	$[]$
54760.e3	54760c1	54760.e	54760c	$4$	$4$	\( 2^{3} \cdot 5 \cdot 37^{2} \)	\( 2^{4} \cdot 5 \cdot 37^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.24.0.15	2B	$2960$	$192$	$3$	$1$	$1$		$1$	$50688$	$0.910098$	$55296/5$	$1.01898$	$3.24072$	$[0, 0, 0, -2738, 50653]$	\(y^2=x^3-2738x+50653\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 10.6.0.a.1, 16.24.0.i.1, $\ldots$	$[]$
54760.e4	54760c3	54760.e	54760c	$4$	$4$	\( 2^{3} \cdot 5 \cdot 37^{2} \)	\( - 2^{10} \cdot 5^{4} \cdot 37^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.24.0.2	2B	$2960$	$192$	$3$	$1$	$1$		$1$	$202752$	$1.603245$	$237276/625$	$1.04671$	$3.87155$	$[0, 0, 0, 17797, -1722202]$	\(y^2=x^3+17797x-1722202\)	2.3.0.a.1, 4.24.0.c.1, 40.48.1.dk.1, 80.96.3.?, 148.48.0.?, $\ldots$	$[]$
54760.f1	54760d1	54760.f	54760d	$1$	$1$	\( 2^{3} \cdot 5 \cdot 37^{2} \)	\( 2^{8} \cdot 5^{10} \cdot 37^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$74$	$2$	$0$	$1$	$1$		$0$	$1313280$	$2.628544$	$1995203838976/361328125$	$0.92806$	$5.08972$	$[0, 1, 0, -2279841, -1099014541]$	\(y^2=x^3+x^2-2279841x-1099014541\)	74.2.0.?	$[]$
54760.g1	54760a1	54760.g	54760a	$1$	$1$	\( 2^{3} \cdot 5 \cdot 37^{2} \)	\( - 2^{11} \cdot 5^{3} \cdot 37^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1480$	$2$	$0$	$14.32908688$	$1$		$0$	$328320$	$1.822996$	$-2/4625$	$1.04026$	$4.14126$	$[0, -1, 0, -456, -7500244]$	\(y^2=x^3-x^2-456x-7500244\)	1480.2.0.?	$[(134853977/373, 1558358248278/373)]$