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	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators
99372.k1	99372k1	99372.k	99372k	$1$	$1$	\( 2^{2} \cdot 3 \cdot 7^{2} \cdot 13^{2} \)	\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 13^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	2.2.0.1	2Cn	$1092$	$12$	$0$	$0.471142088$	$1$		$6$	$157248$	$1.147413$	$23296/9$	$0.67779$	$3.23640$	$[0, -1, 0, -5126, -79743]$	\(y^2=x^3-x^2-5126x-79743\)	2.2.0.a.1, 84.4.0.?, 182.6.0.?, 1092.12.0.?	$[(-56, 169)]$
99372.s1	99372h1	99372.s	99372h	$1$	$1$	\( 2^{2} \cdot 3 \cdot 7^{2} \cdot 13^{2} \)	\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 13^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	2.2.0.1	2Cn	$1092$	$12$	$0$	$1.618238938$	$1$		$2$	$12096$	$-0.135062$	$23296/9$	$0.67779$	$1.89894$	$[0, -1, 0, -30, -27]$	\(y^2=x^3-x^2-30x-27\)	2.2.0.a.1, 182.6.0.?, 1092.12.0.?	$[(-1, 1)]$
99372.bm1	99372bd1	99372.bm	99372bd	$1$	$1$	\( 2^{2} \cdot 3 \cdot 7^{2} \cdot 13^{2} \)	\( 2^{4} \cdot 3^{2} \cdot 7^{8} \cdot 13^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	2.2.0.1	2Cn	$1092$	$12$	$0$	$1.190921768$	$1$		$2$	$84672$	$0.837893$	$23296/9$	$0.67779$	$2.91361$	$[0, 1, 0, -1486, 12221]$	\(y^2=x^3+x^2-1486x+12221\)	2.2.0.a.1, 156.4.0.?, 182.6.0.?, 1092.12.0.?	$[(65, 441)]$
99372.bp1	99372bb1	99372.bp	99372bb	$1$	$1$	\( 2^{2} \cdot 3 \cdot 7^{2} \cdot 13^{2} \)	\( 2^{4} \cdot 3^{2} \cdot 7^{8} \cdot 13^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	2.2.0.1	2Cn	$1092$	$12$	$0$	$5.595947413$	$1$		$2$	$1100736$	$2.120369$	$23296/9$	$0.67779$	$4.25107$	$[0, 1, 0, -251190, 27854217]$	\(y^2=x^3+x^2-251190x+27854217\)	2.2.0.a.1, 12.4.0-2.a.1.1, 182.6.0.?, 1092.12.0.?	$[(606, 9927)]$
298116.bc1	298116bc1	298116.bc	298116bc	$1$	$1$	\( 2^{2} \cdot 3^{2} \cdot 7^{2} \cdot 13^{2} \)	\( 2^{4} \cdot 3^{8} \cdot 7^{2} \cdot 13^{2} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	2.2.0.1	2Cn	$364$	$12$	$0$	$0.822854519$	$1$		$14$	$96768$	$0.414244$	$23296/9$	$0.67779$	$2.25637$	$[0, 0, 0, -273, 1001]$	\(y^2=x^3-273x+1001\)	2.2.0.a.1, 182.6.0.?, 364.12.0.?	$[(1, 27), (-17, 27)]$
298116.be1	298116be1	298116.be	298116be	$1$	$1$	\( 2^{2} \cdot 3^{2} \cdot 7^{2} \cdot 13^{2} \)	\( 2^{4} \cdot 3^{8} \cdot 7^{8} \cdot 13^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	4.4.0.2	2Cn	$364$	$12$	$0$	$14.33194210$	$1$		$0$	$8805888$	$2.669674$	$23296/9$	$0.67779$	$4.40350$	$[0, 0, 0, -2260713, -754324571]$	\(y^2=x^3-2260713x-754324571\)	2.2.0.a.1, 4.4.0-2.a.1.1, 182.6.0.?, 364.12.0.?	$[(-2465167/58, 4401152127/58)]$
298116.cl1	298116cl1	298116.cl	298116cl	$1$	$1$	\( 2^{2} \cdot 3^{2} \cdot 7^{2} \cdot 13^{2} \)	\( 2^{4} \cdot 3^{8} \cdot 7^{2} \cdot 13^{8} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	2.2.0.1	2Cn	$364$	$12$	$0$	$3.382364893$	$1$		$6$	$1257984$	$1.696718$	$23296/9$	$0.67779$	$3.47726$	$[0, 0, 0, -46137, 2199197]$	\(y^2=x^3-46137x+2199197\)	2.2.0.a.1, 28.4.0-2.a.1.1, 182.6.0.?, 364.12.0.?	$[(169/2, 4563/2), (676, 16731)]$
298116.cn1	298116cn1	298116.cn	298116cn	$1$	$1$	\( 2^{2} \cdot 3^{2} \cdot 7^{2} \cdot 13^{2} \)	\( 2^{4} \cdot 3^{8} \cdot 7^{8} \cdot 13^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	2.2.0.1	2Cn	$364$	$12$	$0$	$0.569134801$	$1$		$4$	$677376$	$1.387199$	$23296/9$	$0.67779$	$3.18260$	$[0, 0, 0, -13377, -343343]$	\(y^2=x^3-13377x-343343\)	2.2.0.a.1, 52.4.0-2.a.1.1, 182.6.0.?, 364.12.0.?	$[(-49, 441)]$
397488.bz1	397488bz1	397488.bz	397488bz	$1$	$1$	\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 13^{2} \)	\( 2^{4} \cdot 3^{2} \cdot 7^{8} \cdot 13^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	2.2.0.1	2Cn	$1092$	$12$	$0$	$1$	$1$		$0$	$338688$	$0.837893$	$23296/9$	$0.67779$	$2.60033$	$[0, -1, 0, -1486, -12221]$	\(y^2=x^3-x^2-1486x-12221\)	2.2.0.a.1, 156.4.0.?, 182.6.0.?, 1092.12.0.?	$[ ]$
397488.df1	397488df1	397488.df	397488df	$1$	$1$	\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 13^{2} \)	\( 2^{4} \cdot 3^{2} \cdot 7^{8} \cdot 13^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	2.2.0.1	2Cn	$1092$	$12$	$0$	$1$	$1$		$0$	$4402944$	$2.120369$	$23296/9$	$0.67779$	$3.79398$	$[0, -1, 0, -251190, -27854217]$	\(y^2=x^3-x^2-251190x-27854217\)	2.2.0.a.1, 12.4.0-2.a.1.1, 182.6.0.?, 1092.12.0.?	$[ ]$
397488.hb1	397488hb1	397488.hb	397488hb	$1$	$1$	\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 13^{2} \)	\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 13^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	2.2.0.1	2Cn	$1092$	$12$	$0$	$1$	$1$		$0$	$628992$	$1.147413$	$23296/9$	$0.67779$	$2.88841$	$[0, 1, 0, -5126, 79743]$	\(y^2=x^3+x^2-5126x+79743\)	2.2.0.a.1, 84.4.0.?, 182.6.0.?, 1092.12.0.?	$[ ]$
397488.im1	397488im1	397488.im	397488im	$1$	$1$	\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 13^{2} \)	\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 13^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	2.2.0.1	2Cn	$1092$	$12$	$0$	$1$	$1$		$0$	$48384$	$-0.135062$	$23296/9$	$0.67779$	$1.69476$	$[0, 1, 0, -30, 27]$	\(y^2=x^3+x^2-30x+27\)	2.2.0.a.1, 182.6.0.?, 1092.12.0.?	$[ ]$

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