Elliptic curve search results

Results (12 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
13398.z1	13398z3	13398.z	13398z	$4$	$4$	\( 2 \cdot 3 \cdot 7 \cdot 11 \cdot 29 \)	\( 2^{3} \cdot 3^{16} \cdot 7^{4} \cdot 11 \cdot 29^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	4.12.0.8	2B	$616$	$48$	$0$	$1$	$4$	$2$	$0$	$245760$	$1.964046$	$7152841554883750423153/7649109948370968$	$0.97832$	$5.29544$	$2$	$[1, 1, 1, -401407, -97963891]$	\(y^2+xy+y=x^3+x^2-401407x-97963891\)	2.3.0.a.1, 4.12.0-4.c.1.2, 56.24.0-56.z.1.12, 88.24.0.?, 616.48.0.?	$[ ]$	$1$
40194.d1	40194j4	40194.d	40194j	$4$	$4$	\( 2 \cdot 3^{2} \cdot 7 \cdot 11 \cdot 29 \)	\( 2^{3} \cdot 3^{22} \cdot 7^{4} \cdot 11 \cdot 29^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$1848$	$48$	$0$	$1$	$1$		$0$	$1966080$	$2.513351$	$7152841554883750423153/7649109948370968$	$0.97832$	$5.36845$	$2$	$[1, -1, 0, -3612663, 2641412389]$	\(y^2+xy=x^3-x^2-3612663x+2641412389\)	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 56.12.0.z.1, 88.12.0.?, $\ldots$	$[ ]$	$1$
93786.cr1	93786dd4	93786.cr	93786dd	$4$	$4$	\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 29 \)	\( 2^{3} \cdot 3^{16} \cdot 7^{10} \cdot 11 \cdot 29^{2} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.6	2B	$616$	$48$	$0$	$1.142985381$	$1$		$16$	$11796480$	$2.937000$	$7152841554883750423153/7649109948370968$	$0.97832$	$5.41519$	$2$	$[1, 0, 0, -19668944, 33542607720]$	\(y^2+xy=x^3-19668944x+33542607720\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 28.12.0-4.c.1.1, 56.24.0-56.z.1.10, $\ldots$	$[(2806, 19738), (2482, 2728)]$	$1$
107184.cq1	107184cs4	107184.cq	107184cs	$4$	$4$	\( 2^{4} \cdot 3 \cdot 7 \cdot 11 \cdot 29 \)	\( 2^{15} \cdot 3^{16} \cdot 7^{4} \cdot 11 \cdot 29^{2} \)	$1$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.7	2B	$616$	$48$	$0$	$3.380902460$	$1$		$7$	$5898240$	$2.657192$	$7152841554883750423153/7649109948370968$	$0.97832$	$5.06286$	$1$	$[0, 1, 0, -6422512, 6256843988]$	\(y^2=x^3+x^2-6422512x+6256843988\)	2.3.0.a.1, 4.12.0-4.c.1.1, 56.24.0-56.z.1.4, 88.24.0.?, 616.48.0.?	$[(1247, 13734)]$	$1$
147378.v1	147378dw3	147378.v	147378dw	$4$	$4$	\( 2 \cdot 3 \cdot 7 \cdot 11^{2} \cdot 29 \)	\( 2^{3} \cdot 3^{16} \cdot 7^{4} \cdot 11^{7} \cdot 29^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.8	2B	$616$	$48$	$0$	$3.503101291$	$1$		$4$	$29491200$	$3.162994$	$7152841554883750423153/7649109948370968$	$0.97832$	$5.43740$	$2$	$[1, 1, 0, -48570249, 130147087437]$	\(y^2+xy=x^3+x^2-48570249x+130147087437\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 44.12.0-4.c.1.1, 56.24.0-56.z.1.6, $\ldots$	$[(3911, 3550)]$	$1$
281358.bq1	281358bq4	281358.bq	281358bq	$4$	$4$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \cdot 29 \)	\( 2^{3} \cdot 3^{22} \cdot 7^{10} \cdot 11 \cdot 29^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$1848$	$48$	$0$	$16.04177108$	$1$		$0$	$94371840$	$3.486309$	$7152841554883750423153/7649109948370968$	$0.97832$	$5.46639$	$2$	$[1, -1, 0, -177020496, -905650408440]$	\(y^2+xy=x^3-x^2-177020496x-905650408440\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 56.12.0.z.1, 84.12.0.?, $\ldots$	$[(398504479/85, 7681114715847/85)]$	$1$
321552.ch1	321552ch4	321552.ch	321552ch	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 11 \cdot 29 \)	\( 2^{15} \cdot 3^{22} \cdot 7^{4} \cdot 11 \cdot 29^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$1848$	$48$	$0$	$3.481596214$	$1$		$3$	$47185920$	$3.206501$	$7152841554883750423153/7649109948370968$	$0.97832$	$5.14405$	$2$	$[0, 0, 0, -57802611, -168992590286]$	\(y^2=x^3-57802611x-168992590286\)	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 56.12.0.z.1, 88.12.0.?, $\ldots$	$[(20345, 2660112)]$	$1$
334950.cp1	334950cp4	334950.cp	334950cp	$4$	$4$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \cdot 29 \)	\( 2^{3} \cdot 3^{16} \cdot 5^{6} \cdot 7^{4} \cdot 11 \cdot 29^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$3080$	$48$	$0$	$1.342731110$	$1$		$6$	$31457280$	$2.768764$	$7152841554883750423153/7649109948370968$	$0.97832$	$4.71464$	$2$	$[1, 0, 1, -10035176, -12225416002]$	\(y^2+xy+y=x^3-10035176x-12225416002\)	2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 56.12.0.z.1, 88.12.0.?, $\ldots$	$[(-1818, 4171)]$	$1$
388542.bo1	388542bo4	388542.bo	388542bo	$4$	$4$	\( 2 \cdot 3 \cdot 7 \cdot 11 \cdot 29^{2} \)	\( 2^{3} \cdot 3^{16} \cdot 7^{4} \cdot 11 \cdot 29^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$17864$	$48$	$0$	$1$	$1$		$0$	$206438400$	$3.647694$	$7152841554883750423153/7649109948370968$	$0.97832$	$5.47978$	$2$	$[1, 0, 1, -337583305, -2385190333612]$	\(y^2+xy+y=x^3-337583305x-2385190333612\)	2.3.0.a.1, 4.6.0.c.1, 56.12.0.z.1, 88.12.0.?, 116.12.0.?, $\ldots$	$[ ]$	$1$
428736.bp1	428736bp3	428736.bp	428736bp	$4$	$4$	\( 2^{6} \cdot 3 \cdot 7 \cdot 11 \cdot 29 \)	\( 2^{21} \cdot 3^{16} \cdot 7^{4} \cdot 11 \cdot 29^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.8	2B	$616$	$48$	$0$	$1$	$1$		$1$	$47185920$	$3.003769$	$7152841554883750423153/7649109948370968$	$0.97832$	$4.84235$	$2$	$[0, -1, 0, -25690049, 50080441953]$	\(y^2=x^3-x^2-25690049x+50080441953\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 44.12.0-4.c.1.1, 56.24.0-56.z.1.11, $\ldots$	$[ ]$	$1$
428736.ez1	428736ez4	428736.ez	428736ez	$4$	$4$	\( 2^{6} \cdot 3 \cdot 7 \cdot 11 \cdot 29 \)	\( 2^{21} \cdot 3^{16} \cdot 7^{4} \cdot 11 \cdot 29^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.7	2B	$616$	$48$	$0$	$1$	$1$		$1$	$47185920$	$3.003769$	$7152841554883750423153/7649109948370968$	$0.97832$	$4.84235$	$2$	$[0, 1, 0, -25690049, -50080441953]$	\(y^2=x^3+x^2-25690049x-50080441953\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 44.12.0-4.c.1.2, 56.24.0-56.z.1.3, $\ldots$	$[ ]$	$1$
442134.dg1	442134dg4	442134.dg	442134dg	$4$	$4$	\( 2 \cdot 3^{2} \cdot 7 \cdot 11^{2} \cdot 29 \)	\( 2^{3} \cdot 3^{22} \cdot 7^{4} \cdot 11^{7} \cdot 29^{2} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$1848$	$48$	$0$	$6.897507979$	$1$		$10$	$235929600$	$3.712299$	$7152841554883750423153/7649109948370968$	$0.97832$	$5.48495$	$2$	$[1, -1, 1, -437132246, -3514408493043]$	\(y^2+xy+y=x^3-x^2-437132246x-3514408493043\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.2, 56.12.0.z.1, 88.12.0.?, $\ldots$	$[(-11965, 59343), (24687, 847361)]$	$1$

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