Elliptic curve search results

Results (16 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
5688.a2	5688d2	5688.a	5688d	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 79 \)	\( - 2^{8} \cdot 3^{9} \cdot 79^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$948$	$12$	$0$	$1.775626367$	$1$		$5$	$7104$	$0.705664$	$-4000752/6241$	$0.78340$	$3.69436$	$[0, 0, 0, -567, -9990]$	\(y^2=x^3-567x-9990\)	2.3.0.a.1, 6.6.0.a.1, 316.6.0.?, 948.12.0.?	$[(57, 378)]$
5688.e2	5688a2	5688.e	5688a	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 79 \)	\( - 2^{8} \cdot 3^{3} \cdot 79^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$948$	$12$	$0$	$1$	$1$		$1$	$2368$	$0.156358$	$-4000752/6241$	$0.78340$	$2.93197$	$[0, 0, 0, -63, 370]$	\(y^2=x^3-63x+370\)	2.3.0.a.1, 6.6.0.a.1, 316.6.0.?, 948.12.0.?	$[ ]$
11376.a2	11376b2	11376.a	11376b	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 79 \)	\( - 2^{8} \cdot 3^{9} \cdot 79^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$948$	$12$	$0$	$1.199864680$	$1$		$5$	$14208$	$0.705664$	$-4000752/6241$	$0.78340$	$3.42017$	$[0, 0, 0, -567, 9990]$	\(y^2=x^3-567x+9990\)	2.3.0.a.1, 6.6.0.a.1, 316.6.0.?, 948.12.0.?	$[(-3, 108)]$
11376.u2	11376a2	11376.u	11376a	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 79 \)	\( - 2^{8} \cdot 3^{3} \cdot 79^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$948$	$12$	$0$	$3.259913722$	$1$		$3$	$4736$	$0.156358$	$-4000752/6241$	$0.78340$	$2.71436$	$[0, 0, 0, -63, -370]$	\(y^2=x^3-63x-370\)	2.3.0.a.1, 6.6.0.a.1, 316.6.0.?, 948.12.0.?	$[(85, 780)]$
45504.a2	45504bf2	45504.a	45504bf	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 79 \)	\( - 2^{14} \cdot 3^{3} \cdot 79^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$948$	$12$	$0$	$1$	$1$		$1$	$37888$	$0.502931$	$-4000752/6241$	$0.78340$	$2.75128$	$[0, 0, 0, -252, -2960]$	\(y^2=x^3-252x-2960\)	2.3.0.a.1, 6.6.0.a.1, 316.6.0.?, 948.12.0.?	$[ ]$
45504.d2	45504j2	45504.d	45504j	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 79 \)	\( - 2^{14} \cdot 3^{3} \cdot 79^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$948$	$12$	$0$	$1$	$1$		$1$	$37888$	$0.502931$	$-4000752/6241$	$0.78340$	$2.75128$	$[0, 0, 0, -252, 2960]$	\(y^2=x^3-252x+2960\)	2.3.0.a.1, 6.6.0.a.1, 316.6.0.?, 948.12.0.?	$[ ]$
45504.bw2	45504bd2	45504.bw	45504bd	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 79 \)	\( - 2^{14} \cdot 3^{9} \cdot 79^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$948$	$12$	$0$	$1$	$1$		$1$	$113664$	$1.052237$	$-4000752/6241$	$0.78340$	$3.36586$	$[0, 0, 0, -2268, 79920]$	\(y^2=x^3-2268x+79920\)	2.3.0.a.1, 6.6.0.a.1, 316.6.0.?, 948.12.0.?	$[ ]$
45504.cd2	45504h2	45504.cd	45504h	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 79 \)	\( - 2^{14} \cdot 3^{9} \cdot 79^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$948$	$12$	$0$	$1$	$9$	$3$	$1$	$113664$	$1.052237$	$-4000752/6241$	$0.78340$	$3.36586$	$[0, 0, 0, -2268, -79920]$	\(y^2=x^3-2268x-79920\)	2.3.0.a.1, 6.6.0.a.1, 316.6.0.?, 948.12.0.?	$[ ]$
142200.b2	142200bs2	142200.b	142200bs	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 79 \)	\( - 2^{8} \cdot 3^{9} \cdot 5^{6} \cdot 79^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$948$	$12$	$0$	$1$	$1$		$1$	$568320$	$1.510382$	$-4000752/6241$	$0.78340$	$3.50598$	$[0, 0, 0, -14175, -1248750]$	\(y^2=x^3-14175x-1248750\)	2.3.0.a.1, 6.6.0.a.1, 316.6.0.?, 948.12.0.?	$[ ]$
142200.e2	142200s2	142200.e	142200s	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 79 \)	\( - 2^{8} \cdot 3^{3} \cdot 5^{6} \cdot 79^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$948$	$12$	$0$	$0.911181541$	$1$		$9$	$189440$	$0.961077$	$-4000752/6241$	$0.78340$	$2.95043$	$[0, 0, 0, -1575, 46250]$	\(y^2=x^3-1575x+46250\)	2.3.0.a.1, 6.6.0.a.1, 316.6.0.?, 948.12.0.?	$[(29, 158)]$
278712.c2	278712c2	278712.c	278712c	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 7^{2} \cdot 79 \)	\( - 2^{8} \cdot 3^{3} \cdot 7^{6} \cdot 79^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$948$	$12$	$0$	$1.667857299$	$1$		$5$	$681984$	$1.129313$	$-4000752/6241$	$0.78340$	$2.95309$	$[0, 0, 0, -3087, -126910]$	\(y^2=x^3-3087x-126910\)	2.3.0.a.1, 6.6.0.a.1, 316.6.0.?, 948.12.0.?	$[(91, 588)]$
278712.bi2	278712bi2	278712.bi	278712bi	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 7^{2} \cdot 79 \)	\( - 2^{8} \cdot 3^{9} \cdot 7^{6} \cdot 79^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$948$	$12$	$0$	$1$	$1$		$1$	$2045952$	$1.678619$	$-4000752/6241$	$0.78340$	$3.47883$	$[0, 0, 0, -27783, 3426570]$	\(y^2=x^3-27783x+3426570\)	2.3.0.a.1, 6.6.0.a.1, 316.6.0.?, 948.12.0.?	$[ ]$
284400.ga2	284400ga2	284400.ga	284400ga	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 79 \)	\( - 2^{8} \cdot 3^{3} \cdot 5^{6} \cdot 79^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$948$	$12$	$0$	$6.617339924$	$1$		$1$	$378880$	$0.961077$	$-4000752/6241$	$0.78340$	$2.78758$	$[0, 0, 0, -1575, -46250]$	\(y^2=x^3-1575x-46250\)	2.3.0.a.1, 6.6.0.a.1, 316.6.0.?, 948.12.0.?	$[(12009/7, 1296548/7)]$
284400.gh2	284400gh2	284400.gh	284400gh	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 79 \)	\( - 2^{8} \cdot 3^{9} \cdot 5^{6} \cdot 79^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$948$	$12$	$0$	$6.208494828$	$1$		$1$	$1136640$	$1.510382$	$-4000752/6241$	$0.78340$	$3.31247$	$[0, 0, 0, -14175, 1248750]$	\(y^2=x^3-14175x+1248750\)	2.3.0.a.1, 6.6.0.a.1, 316.6.0.?, 948.12.0.?	$[(6001/7, 398476/7)]$
449352.a2	449352a2	449352.a	449352a	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 79^{2} \)	\( - 2^{8} \cdot 3^{9} \cdot 79^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$948$	$12$	$0$	$4.137226866$	$1$		$3$	$44328960$	$2.890388$	$-4000752/6241$	$0.78340$	$4.46838$	$[0, 0, 0, -3538647, 4925459610]$	\(y^2=x^3-3538647x+4925459610\)	2.3.0.a.1, 6.6.0.a.1, 316.6.0.?, 948.12.0.?	$[(10981, 1135862)]$
449352.l2	449352l2	449352.l	449352l	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 79^{2} \)	\( - 2^{8} \cdot 3^{3} \cdot 79^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$948$	$12$	$0$	$1$	$9$	$3$	$1$	$14776320$	$2.341080$	$-4000752/6241$	$0.78340$	$3.96194$	$[0, 0, 0, -393183, -182424430]$	\(y^2=x^3-393183x-182424430\)	2.3.0.a.1, 6.6.0.a.1, 316.6.0.?, 948.12.0.?	$[ ]$

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