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
113568.d1	113568cd1	113568.d	113568cd	$1$	$1$	\( 2^{5} \cdot 3 \cdot 7 \cdot 13^{2} \)	\( - 2^{12} \cdot 3^{4} \cdot 7^{2} \cdot 13^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	4.2.0.1		$728$	$4$	$0$	$1.870112249$	$1$		$2$	$104448$	$0.740963$	$-4933544512/3969$	$0.91316$	$3.07284$	$1$	$[0, -1, 0, -3137, -66639]$	\(y^2=x^3-x^2-3137x-66639\)	4.2.0.a.1, 728.4.0.?	$[(71, 252)]$	$1$
113568.bi1	113568g1	113568.bi	113568g	$1$	$1$	\( 2^{5} \cdot 3 \cdot 7 \cdot 13^{2} \)	\( - 2^{12} \cdot 3^{4} \cdot 7^{2} \cdot 13^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	4.2.0.1		$56$	$4$	$0$	$4.005124088$	$1$		$2$	$1357824$	$2.023438$	$-4933544512/3969$	$0.91316$	$4.39496$	$1$	$[0, -1, 0, -530209, -148526639]$	\(y^2=x^3-x^2-530209x-148526639\)	4.2.0.a.1, 56.4.0-4.a.1.1	$[(1045, 20916)]$	$1$
113568.bp1	113568bh1	113568.bp	113568bh	$1$	$1$	\( 2^{5} \cdot 3 \cdot 7 \cdot 13^{2} \)	\( - 2^{12} \cdot 3^{4} \cdot 7^{2} \cdot 13^{2} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	4.2.0.1		$728$	$4$	$0$	$0.234434899$	$1$		$24$	$104448$	$0.740963$	$-4933544512/3969$	$0.91316$	$3.07284$	$1$	$[0, 1, 0, -3137, 66639]$	\(y^2=x^3+x^2-3137x+66639\)	4.2.0.a.1, 728.4.0.?	$[(55, 252), (31, 12)]$	$1$
113568.cz1	113568cx1	113568.cz	113568cx	$1$	$1$	\( 2^{5} \cdot 3 \cdot 7 \cdot 13^{2} \)	\( - 2^{12} \cdot 3^{4} \cdot 7^{2} \cdot 13^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	4.2.0.1		$56$	$4$	$0$	$1$	$1$		$0$	$1357824$	$2.023438$	$-4933544512/3969$	$0.91316$	$4.39496$	$1$	$[0, 1, 0, -530209, 148526639]$	\(y^2=x^3+x^2-530209x+148526639\)	4.2.0.a.1, 56.4.0-4.a.1.1	$[ ]$	$1$
227136.j1	227136hc1	227136.j	227136hc	$1$	$1$	\( 2^{6} \cdot 3 \cdot 7 \cdot 13^{2} \)	\( - 2^{6} \cdot 3^{4} \cdot 7^{2} \cdot 13^{8} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	4.2.0.1		$28$	$4$	$0$	$1.266129087$	$1$		$10$	$1357824$	$1.676865$	$-4933544512/3969$	$0.91316$	$3.81075$	$1$	$[0, -1, 0, -132552, 18632106]$	\(y^2=x^3-x^2-132552x+18632106\)	4.2.0.a.1, 28.4.0-4.a.1.1	$[(621/2, 10647/2), (451, 7098)]$	$1$
227136.el1	227136jk1	227136.el	227136jk	$1$	$1$	\( 2^{6} \cdot 3 \cdot 7 \cdot 13^{2} \)	\( - 2^{6} \cdot 3^{4} \cdot 7^{2} \cdot 13^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	4.2.0.1		$364$	$4$	$0$	$1.184017944$	$1$		$2$	$104448$	$0.394390$	$-4933544512/3969$	$0.91316$	$2.56294$	$1$	$[0, -1, 0, -784, 8722]$	\(y^2=x^3-x^2-784x+8722\)	4.2.0.a.1, 364.4.0.?	$[(19, 18)]$	$1$
227136.ff1	227136ev1	227136.ff	227136ev	$1$	$1$	\( 2^{6} \cdot 3 \cdot 7 \cdot 13^{2} \)	\( - 2^{6} \cdot 3^{4} \cdot 7^{2} \cdot 13^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	4.2.0.1		$28$	$4$	$0$	$1$	$1$		$0$	$1357824$	$1.676865$	$-4933544512/3969$	$0.91316$	$3.81075$	$1$	$[0, 1, 0, -132552, -18632106]$	\(y^2=x^3+x^2-132552x-18632106\)	4.2.0.a.1, 28.4.0-4.a.1.1	$[ ]$	$1$
227136.iy1	227136gq1	227136.iy	227136gq	$1$	$1$	\( 2^{6} \cdot 3 \cdot 7 \cdot 13^{2} \)	\( - 2^{6} \cdot 3^{4} \cdot 7^{2} \cdot 13^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	4.2.0.1		$364$	$4$	$0$	$3.107429273$	$1$		$2$	$104448$	$0.394390$	$-4933544512/3969$	$0.91316$	$2.56294$	$1$	$[0, 1, 0, -784, -8722]$	\(y^2=x^3+x^2-784x-8722\)	4.2.0.a.1, 364.4.0.?	$[(161, 2016)]$	$1$
340704.k1	340704k1	340704.k	340704k	$1$	$1$	\( 2^{5} \cdot 3^{2} \cdot 7 \cdot 13^{2} \)	\( - 2^{12} \cdot 3^{10} \cdot 7^{2} \cdot 13^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	4.2.0.1		$168$	$4$	$0$	$3.542782095$	$1$		$2$	$10862592$	$2.572742$	$-4933544512/3969$	$0.91316$	$4.53339$	$1$	$[0, 0, 0, -4771884, 4014991136]$	\(y^2=x^3-4771884x+4014991136\)	4.2.0.a.1, 168.4.0.?	$[(1192, 4536)]$	$1$
340704.l1	340704l1	340704.l	340704l	$1$	$1$	\( 2^{5} \cdot 3^{2} \cdot 7 \cdot 13^{2} \)	\( - 2^{12} \cdot 3^{10} \cdot 7^{2} \cdot 13^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	4.2.0.1		$168$	$4$	$0$	$6.046200103$	$1$		$2$	$10862592$	$2.572742$	$-4933544512/3969$	$0.91316$	$4.53339$	$1$	$[0, 0, 0, -4771884, -4014991136]$	\(y^2=x^3-4771884x-4014991136\)	4.2.0.a.1, 168.4.0.?	$[(3002, 93348)]$	$1$
340704.er1	340704er1	340704.er	340704er	$1$	$1$	\( 2^{5} \cdot 3^{2} \cdot 7 \cdot 13^{2} \)	\( - 2^{12} \cdot 3^{10} \cdot 7^{2} \cdot 13^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	4.2.0.1		$2184$	$4$	$0$	$8.423966426$	$1$		$0$	$835584$	$1.290270$	$-4933544512/3969$	$0.91316$	$3.32529$	$1$	$[0, 0, 0, -28236, -1827488]$	\(y^2=x^3-28236x-1827488\)	4.2.0.a.1, 2184.4.0.?	$[(24413/11, 1104579/11)]$	$1$
340704.es1	340704es1	340704.es	340704es	$1$	$1$	\( 2^{5} \cdot 3^{2} \cdot 7 \cdot 13^{2} \)	\( - 2^{12} \cdot 3^{10} \cdot 7^{2} \cdot 13^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	4.2.0.1		$2184$	$4$	$0$	$0.759215897$	$1$		$4$	$835584$	$1.290270$	$-4933544512/3969$	$0.91316$	$3.32529$	$1$	$[0, 0, 0, -28236, 1827488]$	\(y^2=x^3-28236x+1827488\)	4.2.0.a.1, 2184.4.0.?	$[(82, 252)]$	$1$

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