Elliptic curve search results

Results (14 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
12870.x1	12870e1	12870.x	12870e	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \)	\( - 2 \cdot 3^{9} \cdot 5 \cdot 11 \cdot 13^{5} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$17160$	$2$	$0$	$1$	$1$		$0$	$20160$	$0.968936$	$20956092093/40842230$	$0.87596$	$3.64751$	$[1, -1, 0, 1551, 35783]$	\(y^2+xy=x^3-x^2+1551x+35783\)	17160.2.0.?	$[ ]$
12870.bn1	12870be1	12870.bn	12870be	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \)	\( - 2 \cdot 3^{3} \cdot 5 \cdot 11 \cdot 13^{5} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$17160$	$2$	$0$	$4.308274129$	$1$		$0$	$6720$	$0.419630$	$20956092093/40842230$	$0.87596$	$2.95091$	$[1, -1, 1, 172, -1383]$	\(y^2+xy+y=x^3-x^2+172x-1383\)	17160.2.0.?	$[(95/2, 903/2)]$
64350.w1	64350l1	64350.w	64350l	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 13 \)	\( - 2 \cdot 3^{3} \cdot 5^{7} \cdot 11 \cdot 13^{5} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$17160$	$2$	$0$	$0.292172843$	$1$		$4$	$161280$	$1.224348$	$20956092093/40842230$	$0.87596$	$3.39413$	$[1, -1, 0, 4308, -168534]$	\(y^2+xy=x^3-x^2+4308x-168534\)	17160.2.0.?	$[(339, 6168)]$
64350.dk1	64350cs1	64350.dk	64350cs	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 13 \)	\( - 2 \cdot 3^{9} \cdot 5^{7} \cdot 11 \cdot 13^{5} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$17160$	$2$	$0$	$1.692617097$	$1$		$0$	$483840$	$1.773655$	$20956092093/40842230$	$0.87596$	$3.98947$	$[1, -1, 1, 38770, 4511647]$	\(y^2+xy+y=x^3-x^2+38770x+4511647\)	17160.2.0.?	$[(31/2, 17515/2)]$
102960.y1	102960bw1	102960.y	102960bw	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \)	\( - 2^{13} \cdot 3^{3} \cdot 5 \cdot 11 \cdot 13^{5} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$17160$	$2$	$0$	$1$	$1$		$0$	$161280$	$1.112778$	$20956092093/40842230$	$0.87596$	$3.13992$	$[0, 0, 0, 2757, 85738]$	\(y^2=x^3+2757x+85738\)	17160.2.0.?	$[ ]$
102960.di1	102960cm1	102960.di	102960cm	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \)	\( - 2^{13} \cdot 3^{9} \cdot 5 \cdot 11 \cdot 13^{5} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$17160$	$2$	$0$	$1$	$1$		$0$	$483840$	$1.662083$	$20956092093/40842230$	$0.87596$	$3.71102$	$[0, 0, 0, 24813, -2314926]$	\(y^2=x^3+24813x-2314926\)	17160.2.0.?	$[ ]$
141570.l1	141570ex1	141570.l	141570ex	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 13 \)	\( - 2 \cdot 3^{3} \cdot 5 \cdot 11^{7} \cdot 13^{5} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$17160$	$2$	$0$	$0.539565203$	$1$		$6$	$806400$	$1.618578$	$20956092093/40842230$	$0.87596$	$3.56736$	$[1, -1, 0, 20850, 1777870]$	\(y^2+xy=x^3-x^2+20850x+1777870\)	17160.2.0.?	$[(113, 2303)]$
141570.eg1	141570cf1	141570.eg	141570cf	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 13 \)	\( - 2 \cdot 3^{9} \cdot 5 \cdot 11^{7} \cdot 13^{5} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$17160$	$2$	$0$	$2.334487471$	$1$		$0$	$2419200$	$2.167885$	$20956092093/40842230$	$0.87596$	$4.12312$	$[1, -1, 1, 187648, -48190139]$	\(y^2+xy+y=x^3-x^2+187648x-48190139\)	17160.2.0.?	$[(19045/4, 2722493/4)]$
167310.by1	167310fa1	167310.by	167310fa	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13^{2} \)	\( - 2 \cdot 3^{3} \cdot 5 \cdot 11 \cdot 13^{11} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$17160$	$2$	$0$	$1$	$1$		$0$	$1128960$	$1.702105$	$20956092093/40842230$	$0.87596$	$3.60115$	$[1, -1, 0, 29121, -2950505]$	\(y^2+xy=x^3-x^2+29121x-2950505\)	17160.2.0.?	$[ ]$
167310.dm1	167310co1	167310.dm	167310co	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13^{2} \)	\( - 2 \cdot 3^{9} \cdot 5 \cdot 11 \cdot 13^{11} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$17160$	$2$	$0$	$7.859013766$	$1$		$0$	$3386880$	$2.251411$	$20956092093/40842230$	$0.87596$	$4.14919$	$[1, -1, 1, 262087, 79401547]$	\(y^2+xy+y=x^3-x^2+262087x+79401547\)	17160.2.0.?	$[(3564427/46, 7003268147/46)]$
411840.cq1	411840cq1	411840.cq	411840cq	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \)	\( - 2^{19} \cdot 3^{9} \cdot 5 \cdot 11 \cdot 13^{5} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$17160$	$2$	$0$	$0.903562240$	$1$		$4$	$3870720$	$2.008656$	$20956092093/40842230$	$0.87596$	$3.63478$	$[0, 0, 0, 99252, -18519408]$	\(y^2=x^3+99252x-18519408\)	17160.2.0.?	$[(274, 5408)]$
411840.eg1	411840eg1	411840.eg	411840eg	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \)	\( - 2^{19} \cdot 3^{9} \cdot 5 \cdot 11 \cdot 13^{5} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$17160$	$2$	$0$	$1.974644368$	$1$		$2$	$3870720$	$2.008656$	$20956092093/40842230$	$0.87596$	$3.63478$	$[0, 0, 0, 99252, 18519408]$	\(y^2=x^3+99252x+18519408\)	17160.2.0.?	$[(1416, 54756)]$
411840.jm1	411840jm1	411840.jm	411840jm	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \)	\( - 2^{19} \cdot 3^{3} \cdot 5 \cdot 11 \cdot 13^{5} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$17160$	$2$	$0$	$1.302291853$	$1$		$2$	$1290240$	$1.459351$	$20956092093/40842230$	$0.87596$	$3.12492$	$[0, 0, 0, 11028, 685904]$	\(y^2=x^3+11028x+685904\)	17160.2.0.?	$[(-35, 507)]$
411840.ln1	411840ln1	411840.ln	411840ln	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \)	\( - 2^{19} \cdot 3^{3} \cdot 5 \cdot 11 \cdot 13^{5} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$17160$	$2$	$0$	$0.840534065$	$1$		$2$	$1290240$	$1.459351$	$20956092093/40842230$	$0.87596$	$3.12492$	$[0, 0, 0, 11028, -685904]$	\(y^2=x^3+11028x-685904\)	17160.2.0.?	$[(230, 3744)]$

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