Elliptic curve search results

Results (24 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	Intrinsic torsion order	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators	Manin constant
4600.c1	4600d1	4600.c	4600d	$1$	$1$	\( 2^{3} \cdot 5^{2} \cdot 23 \)	\( 2^{10} \cdot 5^{2} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$92$	$2$	$0$	$0.434067658$	$1$		$4$	$768$	$-0.063904$	$2977540/23$	$0.78331$	$2.97101$	$1$	$[0, 1, 0, -88, 288]$	\(y^2=x^3+x^2-88x+288\)	92.2.0.?	$[(4, 4)]$	$1$
4600.n1	4600o1	4600.n	4600o	$1$	$1$	\( 2^{3} \cdot 5^{2} \cdot 23 \)	\( 2^{10} \cdot 5^{8} \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$92$	$2$	$0$	$1$	$1$		$0$	$3840$	$0.740815$	$2977540/23$	$0.78331$	$4.11600$	$1$	$[0, -1, 0, -2208, 40412]$	\(y^2=x^3-x^2-2208x+40412\)	92.2.0.?	$[ ]$	$1$
9200.i1	9200m1	9200.i	9200m	$1$	$1$	\( 2^{4} \cdot 5^{2} \cdot 23 \)	\( 2^{10} \cdot 5^{8} \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$92$	$2$	$0$	$1$	$1$		$0$	$7680$	$0.740815$	$2977540/23$	$0.78331$	$3.80341$	$1$	$[0, 1, 0, -2208, -40412]$	\(y^2=x^3+x^2-2208x-40412\)	92.2.0.?	$[ ]$	$1$
9200.bd1	9200i1	9200.bd	9200i	$1$	$1$	\( 2^{4} \cdot 5^{2} \cdot 23 \)	\( 2^{10} \cdot 5^{2} \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$92$	$2$	$0$	$1$	$1$		$0$	$1536$	$-0.063904$	$2977540/23$	$0.78331$	$2.74538$	$1$	$[0, -1, 0, -88, -288]$	\(y^2=x^3-x^2-88x-288\)	92.2.0.?	$[ ]$	$1$
36800.j1	36800cx1	36800.j	36800cx	$1$	$1$	\( 2^{6} \cdot 5^{2} \cdot 23 \)	\( 2^{16} \cdot 5^{2} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$92$	$2$	$0$	$1.231232553$	$1$		$2$	$12288$	$0.282670$	$2977540/23$	$0.78331$	$2.77895$	$1$	$[0, 1, 0, -353, -2657]$	\(y^2=x^3+x^2-353x-2657\)	92.2.0.?	$[(-11, 4)]$	$1$
36800.m1	36800bu1	36800.m	36800bu	$1$	$1$	\( 2^{6} \cdot 5^{2} \cdot 23 \)	\( 2^{16} \cdot 5^{8} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$92$	$2$	$0$	$0.356215316$	$1$		$6$	$61440$	$1.087389$	$2977540/23$	$0.78331$	$3.69747$	$1$	$[0, 1, 0, -8833, 314463]$	\(y^2=x^3+x^2-8833x+314463\)	92.2.0.?	$[(83, 400)]$	$1$
36800.dh1	36800dg1	36800.dh	36800dg	$1$	$1$	\( 2^{6} \cdot 5^{2} \cdot 23 \)	\( 2^{16} \cdot 5^{8} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$92$	$2$	$0$	$2.852904039$	$1$		$2$	$61440$	$1.087389$	$2977540/23$	$0.78331$	$3.69747$	$1$	$[0, -1, 0, -8833, -314463]$	\(y^2=x^3-x^2-8833x-314463\)	92.2.0.?	$[(-57, 24)]$	$1$
36800.dk1	36800l1	36800.dk	36800l	$1$	$1$	\( 2^{6} \cdot 5^{2} \cdot 23 \)	\( 2^{16} \cdot 5^{2} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$92$	$2$	$0$	$1.063521626$	$1$		$2$	$12288$	$0.282670$	$2977540/23$	$0.78331$	$2.77895$	$1$	$[0, -1, 0, -353, 2657]$	\(y^2=x^3-x^2-353x+2657\)	92.2.0.?	$[(1, 48)]$	$1$
41400.v1	41400t1	41400.v	41400t	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 23 \)	\( 2^{10} \cdot 3^{6} \cdot 5^{8} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$92$	$2$	$0$	$1.261998041$	$1$		$4$	$92160$	$1.290121$	$2977540/23$	$0.78331$	$3.88535$	$1$	$[0, 0, 0, -19875, -1071250]$	\(y^2=x^3-19875x-1071250\)	92.2.0.?	$[(175, 900)]$	$1$
41400.bl1	41400bv1	41400.bl	41400bv	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 23 \)	\( 2^{10} \cdot 3^{6} \cdot 5^{2} \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$92$	$2$	$0$	$1$	$1$		$0$	$18432$	$0.485403$	$2977540/23$	$0.78331$	$2.97700$	$1$	$[0, 0, 0, -795, -8570]$	\(y^2=x^3-795x-8570\)	92.2.0.?	$[ ]$	$1$
82800.cd1	82800p1	82800.cd	82800p	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 23 \)	\( 2^{10} \cdot 3^{6} \cdot 5^{2} \cdot 23 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$92$	$2$	$0$	$1.569666997$	$1$		$8$	$36864$	$0.485403$	$2977540/23$	$0.78331$	$2.79478$	$1$	$[0, 0, 0, -795, 8570]$	\(y^2=x^3-795x+8570\)	92.2.0.?	$[(19, 18), (11, 34)]$	$1$
82800.ds1	82800cb1	82800.ds	82800cb	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 23 \)	\( 2^{10} \cdot 3^{6} \cdot 5^{8} \cdot 23 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$92$	$2$	$0$	$1.198457616$	$1$		$12$	$184320$	$1.290121$	$2977540/23$	$0.78331$	$3.64753$	$1$	$[0, 0, 0, -19875, 1071250]$	\(y^2=x^3-19875x+1071250\)	92.2.0.?	$[(75, 50), (50, 450)]$	$1$
105800.f1	105800i1	105800.f	105800i	$1$	$1$	\( 2^{3} \cdot 5^{2} \cdot 23^{2} \)	\( 2^{10} \cdot 5^{2} \cdot 23^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$92$	$2$	$0$	$1$	$1$		$0$	$405504$	$1.503843$	$2977540/23$	$0.78331$	$3.79192$	$1$	$[0, 1, 0, -46728, -3877472]$	\(y^2=x^3+x^2-46728x-3877472\)	92.2.0.?	$[ ]$	$1$
105800.bf1	105800bf1	105800.bf	105800bf	$1$	$1$	\( 2^{3} \cdot 5^{2} \cdot 23^{2} \)	\( 2^{10} \cdot 5^{8} \cdot 23^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$92$	$2$	$0$	$1$	$1$		$0$	$2027520$	$2.308563$	$2977540/23$	$0.78331$	$4.62660$	$1$	$[0, -1, 0, -1168208, -482347588]$	\(y^2=x^3-x^2-1168208x-482347588\)	92.2.0.?	$[ ]$	$1$
211600.p1	211600cw1	211600.p	211600cw	$1$	$1$	\( 2^{4} \cdot 5^{2} \cdot 23^{2} \)	\( 2^{10} \cdot 5^{8} \cdot 23^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$92$	$2$	$0$	$1.051799951$	$1$		$4$	$4055040$	$2.308563$	$2977540/23$	$0.78331$	$4.36508$	$1$	$[0, 1, 0, -1168208, 482347588]$	\(y^2=x^3+x^2-1168208x+482347588\)	92.2.0.?	$[(-192, 26450)]$	$1$
211600.dl1	211600dw1	211600.dl	211600dw	$1$	$1$	\( 2^{4} \cdot 5^{2} \cdot 23^{2} \)	\( 2^{10} \cdot 5^{2} \cdot 23^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$92$	$2$	$0$	$1$	$1$		$0$	$811008$	$1.503843$	$2977540/23$	$0.78331$	$3.57758$	$1$	$[0, -1, 0, -46728, 3877472]$	\(y^2=x^3-x^2-46728x+3877472\)	92.2.0.?	$[ ]$	$1$
225400.f1	225400c1	225400.f	225400c	$1$	$1$	\( 2^{3} \cdot 5^{2} \cdot 7^{2} \cdot 23 \)	\( 2^{10} \cdot 5^{8} \cdot 7^{6} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$92$	$2$	$0$	$1.605337551$	$1$		$2$	$1451520$	$1.713770$	$2977540/23$	$0.78331$	$3.76362$	$1$	$[0, 1, 0, -108208, -13644912]$	\(y^2=x^3+x^2-108208x-13644912\)	92.2.0.?	$[(-192, 300)]$	$1$
225400.cb1	225400co1	225400.cb	225400co	$1$	$1$	\( 2^{3} \cdot 5^{2} \cdot 7^{2} \cdot 23 \)	\( 2^{10} \cdot 5^{2} \cdot 7^{6} \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$92$	$2$	$0$	$1$	$1$		$0$	$290304$	$0.909052$	$2977540/23$	$0.78331$	$2.98016$	$1$	$[0, -1, 0, -4328, -107428]$	\(y^2=x^3-x^2-4328x-107428\)	92.2.0.?	$[ ]$	$1$
331200.ft1	331200ft1	331200.ft	331200ft	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 23 \)	\( 2^{16} \cdot 3^{6} \cdot 5^{8} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$92$	$2$	$0$	$1.794747663$	$1$		$4$	$1474560$	$1.636696$	$2977540/23$	$0.78331$	$3.57690$	$1$	$[0, 0, 0, -79500, -8570000]$	\(y^2=x^3-79500x-8570000\)	92.2.0.?	$[(-154, 144)]$	$1$
331200.hg1	331200hg1	331200.hg	331200hg	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 23 \)	\( 2^{16} \cdot 3^{6} \cdot 5^{2} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$92$	$2$	$0$	$2.007948773$	$1$		$2$	$294912$	$0.831976$	$2977540/23$	$0.78331$	$2.81716$	$1$	$[0, 0, 0, -3180, 68560]$	\(y^2=x^3-3180x+68560\)	92.2.0.?	$[(29, 27)]$	$1$
331200.jv1	331200jv1	331200.jv	331200jv	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 23 \)	\( 2^{16} \cdot 3^{6} \cdot 5^{2} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$92$	$2$	$0$	$1.300334217$	$1$		$4$	$294912$	$0.831976$	$2977540/23$	$0.78331$	$2.81716$	$1$	$[0, 0, 0, -3180, -68560]$	\(y^2=x^3-3180x-68560\)	92.2.0.?	$[(-34, 16)]$	$1$
331200.li1	331200li1	331200.li	331200li	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 23 \)	\( 2^{16} \cdot 3^{6} \cdot 5^{8} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$92$	$2$	$0$	$4.863419015$	$1$		$2$	$1474560$	$1.636696$	$2977540/23$	$0.78331$	$3.57690$	$1$	$[0, 0, 0, -79500, 8570000]$	\(y^2=x^3-79500x+8570000\)	92.2.0.?	$[(-179, 4131)]$	$1$
450800.bu1	450800bu1	450800.bu	450800bu	$1$	$1$	\( 2^{4} \cdot 5^{2} \cdot 7^{2} \cdot 23 \)	\( 2^{10} \cdot 5^{2} \cdot 7^{6} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$92$	$2$	$0$	$2.924279618$	$1$		$2$	$580608$	$0.909052$	$2977540/23$	$0.78331$	$2.82149$	$1$	$[0, 1, 0, -4328, 107428]$	\(y^2=x^3+x^2-4328x+107428\)	92.2.0.?	$[(24, 134)]$	$1$
450800.gt1	450800gt1	450800.gt	450800gt	$1$	$1$	\( 2^{4} \cdot 5^{2} \cdot 7^{2} \cdot 23 \)	\( 2^{10} \cdot 5^{8} \cdot 7^{6} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$92$	$2$	$0$	$5.087074107$	$1$		$0$	$2903040$	$1.713770$	$2977540/23$	$0.78331$	$3.56324$	$1$	$[0, -1, 0, -108208, 13644912]$	\(y^2=x^3-x^2-108208x+13644912\)	92.2.0.?	$[(-122/3, 104950/3)]$	$1$

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