Elliptic curve search results

Results (8 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
55770.bj1	55770bi1	55770.bj	55770bi	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 13^{2} \)	\( - 2^{25} \cdot 3^{7} \cdot 5^{5} \cdot 11 \cdot 13^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$17160$	$2$	$0$	$1$	$1$		$0$	$2856000$	$2.611012$	$-17218915986569071075813/2522559283200000$	$1.02919$	$5.38891$	$[1, 0, 1, -6993653, -7120241152]$	\(y^2+xy+y=x^3-6993653x-7120241152\)	17160.2.0.?	$[ ]$
55770.cq1	55770cw1	55770.cq	55770cw	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 13^{2} \)	\( - 2^{25} \cdot 3^{7} \cdot 5^{5} \cdot 11 \cdot 13^{9} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$17160$	$2$	$0$	$2.415628185$	$1$		$2$	$37128000$	$3.893486$	$-17218915986569071075813/2522559283200000$	$1.02919$	$6.79707$	$[1, 0, 0, -1181927276, -15641987883120]$	\(y^2+xy=x^3-1181927276x-15641987883120\)	17160.2.0.?	$[(53080, 8409940)]$
167310.bv1	167310dh1	167310.bv	167310dh	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13^{2} \)	\( - 2^{25} \cdot 3^{13} \cdot 5^{5} \cdot 11 \cdot 13^{9} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$17160$	$2$	$0$	$1$	$1$		$0$	$297024000$	$4.442795$	$-17218915986569071075813/2522559283200000$	$1.02919$	$6.72426$	$[1, -1, 0, -10637345484, 422333672844240]$	\(y^2+xy=x^3-x^2-10637345484x+422333672844240\)	17160.2.0.?	$[ ]$
167310.dt1	167310bl1	167310.dt	167310bl	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13^{2} \)	\( - 2^{25} \cdot 3^{13} \cdot 5^{5} \cdot 11 \cdot 13^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$17160$	$2$	$0$	$0.427705543$	$1$		$6$	$22848000$	$3.160316$	$-17218915986569071075813/2522559283200000$	$1.02919$	$5.44473$	$[1, -1, 1, -62942873, 192246511097]$	\(y^2+xy+y=x^3-x^2-62942873x+192246511097\)	17160.2.0.?	$[(2727, 200812)]$
278850.bg1	278850bg1	278850.bg	278850bg	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 13^{2} \)	\( - 2^{25} \cdot 3^{7} \cdot 5^{11} \cdot 11 \cdot 13^{9} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$17160$	$2$	$0$	$86.56137525$	$1$		$0$	$891072000$	$4.698204$	$-17218915986569071075813/2522559283200000$	$1.02919$	$6.69476$	$[1, 1, 0, -29548181900, -1955248485390000]$	\(y^2+xy=x^3+x^2-29548181900x-1955248485390000\)	17160.2.0.?	$[(67308023366392958060219525401010661187035/116860650532849442, 17447555246316893498446199462252170751996758631708136460572765/116860650532849442)]$
278850.fn1	278850fn1	278850.fn	278850fn	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 13^{2} \)	\( - 2^{25} \cdot 3^{7} \cdot 5^{11} \cdot 11 \cdot 13^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$17160$	$2$	$0$	$4.960778038$	$1$		$2$	$68544000$	$3.415730$	$-17218915986569071075813/2522559283200000$	$1.02919$	$5.46735$	$[1, 1, 1, -174841313, -890030143969]$	\(y^2+xy+y=x^3+x^2-174841313x-890030143969\)	17160.2.0.?	$[(186815, 80444192)]$
446160.bh1	446160bh1	446160.bh	446160bh	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 13^{2} \)	\( - 2^{37} \cdot 3^{7} \cdot 5^{5} \cdot 11 \cdot 13^{9} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$17160$	$2$	$0$	$62.49163965$	$1$		$0$	$891072000$	$4.586632$	$-17218915986569071075813/2522559283200000$	$1.02919$	$6.34995$	$[0, -1, 0, -18910836416, 1001087224519680]$	\(y^2=x^3-x^2-18910836416x+1001087224519680\)	17160.2.0.?	$[(75776295850863300477335375581/595862055994, 17299439504618155093058024275258874691633697/595862055994)]$
446160.de1	446160de1	446160.de	446160de	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 13^{2} \)	\( - 2^{37} \cdot 3^{7} \cdot 5^{5} \cdot 11 \cdot 13^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$17160$	$2$	$0$	$1.587346388$	$1$		$4$	$68544000$	$3.304161$	$-17218915986569071075813/2522559283200000$	$1.02919$	$5.16689$	$[0, -1, 0, -111898440, 455695433712]$	\(y^2=x^3-x^2-111898440x+455695433712\)	17160.2.0.?	$[(-1996, 819200)]$

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