Elliptic curve search results

Results (6 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
112632.f1	112632p1	112632.f	112632p	$1$	$1$	\( 2^{3} \cdot 3 \cdot 13 \cdot 19^{2} \)	\( - 2^{4} \cdot 3^{12} \cdot 13 \cdot 19^{9} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$494$	$2$	$0$	$2.766320590$	$1$		$0$	$2188800$	$2.432468$	$500000000/6908733$	$1.12427$	$4.50768$	$[0, -1, 0, 285792, 281171241]$	\(y^2=x^3-x^2+285792x+281171241\)	494.2.0.?	$[(-10212/7, 5000211/7)]$
112632.u1	112632g1	112632.u	112632g	$1$	$1$	\( 2^{3} \cdot 3 \cdot 13 \cdot 19^{2} \)	\( - 2^{4} \cdot 3^{12} \cdot 13 \cdot 19^{3} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$494$	$2$	$0$	$0.620957834$	$1$		$16$	$115200$	$0.960248$	$500000000/6908733$	$1.12427$	$2.98887$	$[0, 1, 0, 792, -40743]$	\(y^2=x^3+x^2+792x-40743\)	494.2.0.?	$[(63, 513), (576, 13851)]$
225264.t1	225264co1	225264.t	225264co	$1$	$1$	\( 2^{4} \cdot 3 \cdot 13 \cdot 19^{2} \)	\( - 2^{4} \cdot 3^{12} \cdot 13 \cdot 19^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$494$	$2$	$0$	$2.443863558$	$1$		$0$	$230400$	$0.960248$	$500000000/6908733$	$1.12427$	$2.82078$	$[0, -1, 0, 792, 40743]$	\(y^2=x^3-x^2+792x+40743\)	494.2.0.?	$[(-549/5, 13851/5)]$
225264.ce1	225264ca1	225264.ce	225264ca	$1$	$1$	\( 2^{4} \cdot 3 \cdot 13 \cdot 19^{2} \)	\( - 2^{4} \cdot 3^{12} \cdot 13 \cdot 19^{9} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$494$	$2$	$0$	$4.559179183$	$1$		$0$	$4377600$	$2.432468$	$500000000/6908733$	$1.12427$	$4.25417$	$[0, 1, 0, 285792, -281171241]$	\(y^2=x^3+x^2+285792x-281171241\)	494.2.0.?	$[(13833/4, 1584429/4)]$
337896.s1	337896s1	337896.s	337896s	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 13 \cdot 19^{2} \)	\( - 2^{4} \cdot 3^{18} \cdot 13 \cdot 19^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$494$	$2$	$0$	$2.591517008$	$1$		$2$	$921600$	$1.509554$	$500000000/6908733$	$1.12427$	$3.24872$	$[0, 0, 0, 7125, 1107187]$	\(y^2=x^3+7125x+1107187\)	494.2.0.?	$[(38, 1197)]$
337896.t1	337896t1	337896.t	337896t	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 13 \cdot 19^{2} \)	\( - 2^{4} \cdot 3^{18} \cdot 13 \cdot 19^{9} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$494$	$2$	$0$	$16.95617102$	$1$		$0$	$17510400$	$2.981773$	$500000000/6908733$	$1.12427$	$4.63646$	$[0, 0, 0, 2572125, -7594195633]$	\(y^2=x^3+2572125x-7594195633\)	494.2.0.?	$[(83218831/107, 770053350843/107)]$

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