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.j1	12870d1	12870.j	12870d	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \)	\( - 2^{5} \cdot 3^{3} \cdot 5 \cdot 11^{3} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$17160$	$2$	$0$	$0.375457385$	$1$		$4$	$4800$	$0.189687$	$-27/2768480$	$1.30404$	$2.70372$	$[1, -1, 0, 0, 416]$	\(y^2+xy=x^3-x^2+416\)	17160.2.0.?	$[(-5, 19)]$
12870.cd1	12870bk1	12870.cd	12870bk	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \)	\( - 2^{5} \cdot 3^{9} \cdot 5 \cdot 11^{3} \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$17160$	$2$	$0$	$1$	$1$		$0$	$14400$	$0.738993$	$-27/2768480$	$1.30404$	$3.40032$	$[1, -1, 1, -2, -11231]$	\(y^2+xy+y=x^3-x^2-2x-11231\)	17160.2.0.?	$[ ]$
64350.h1	64350f1	64350.h	64350f	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 13 \)	\( - 2^{5} \cdot 3^{9} \cdot 5^{7} \cdot 11^{3} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$17160$	$2$	$0$	$2.981701533$	$1$		$2$	$345600$	$1.543711$	$-27/2768480$	$1.30404$	$3.77821$	$[1, -1, 0, -42, -1403884]$	\(y^2+xy=x^3-x^2-42x-1403884\)	17160.2.0.?	$[(439, 8893)]$
64350.db1	64350db1	64350.db	64350db	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 13 \)	\( - 2^{5} \cdot 3^{3} \cdot 5^{7} \cdot 11^{3} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$17160$	$2$	$0$	$0.108670956$	$1$		$10$	$115200$	$0.994406$	$-27/2768480$	$1.30404$	$3.18287$	$[1, -1, 1, -5, 51997]$	\(y^2+xy+y=x^3-x^2-5x+51997\)	17160.2.0.?	$[(139, 1580)]$
102960.l1	102960cc1	102960.l	102960cc	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \)	\( - 2^{17} \cdot 3^{3} \cdot 5 \cdot 11^{3} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$17160$	$2$	$0$	$1.199025514$	$1$		$4$	$115200$	$0.882833$	$-27/2768480$	$1.30404$	$2.93726$	$[0, 0, 0, -3, -26622]$	\(y^2=x^3-3x-26622\)	17160.2.0.?	$[(33, 96)]$
102960.cy1	102960cs1	102960.cy	102960cs	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \)	\( - 2^{17} \cdot 3^{9} \cdot 5 \cdot 11^{3} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$17160$	$2$	$0$	$1.393671534$	$1$		$2$	$345600$	$1.432140$	$-27/2768480$	$1.30404$	$3.50836$	$[0, 0, 0, -27, 718794]$	\(y^2=x^3-27x+718794\)	17160.2.0.?	$[(135, 1782)]$
141570.br1	141570er1	141570.br	141570er	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 13 \)	\( - 2^{5} \cdot 3^{9} \cdot 5 \cdot 11^{9} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$17160$	$2$	$0$	$1.834805280$	$1$		$2$	$1728000$	$1.937941$	$-27/2768480$	$1.30404$	$3.92591$	$[1, -1, 0, -204, 14948720]$	\(y^2+xy=x^3-x^2-204x+14948720\)	17160.2.0.?	$[(2005, 88840)]$
141570.ct1	141570ck1	141570.ct	141570ck	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 13 \)	\( - 2^{5} \cdot 3^{3} \cdot 5 \cdot 11^{9} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$17160$	$2$	$0$	$1.861937990$	$1$		$2$	$576000$	$1.388634$	$-27/2768480$	$1.30404$	$3.37014$	$[1, -1, 1, -23, -553649]$	\(y^2+xy+y=x^3-x^2-23x-553649\)	17160.2.0.?	$[(157, 1736)]$
167310.g1	167310fj1	167310.g	167310fj	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13^{2} \)	\( - 2^{5} \cdot 3^{9} \cdot 5 \cdot 11^{3} \cdot 13^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$17160$	$2$	$0$	$1$	$1$		$0$	$2419200$	$2.021469$	$-27/2768480$	$1.30404$	$3.95471$	$[1, -1, 0, -285, -24674779]$	\(y^2+xy=x^3-x^2-285x-24674779\)	17160.2.0.?	$[ ]$
167310.ep1	167310bz1	167310.ep	167310bz	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13^{2} \)	\( - 2^{5} \cdot 3^{3} \cdot 5 \cdot 11^{3} \cdot 13^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$17160$	$2$	$0$	$1.138736737$	$1$		$4$	$806400$	$1.472160$	$-27/2768480$	$1.30404$	$3.40667$	$[1, -1, 1, -32, 913891]$	\(y^2+xy+y=x^3-x^2-32x+913891\)	17160.2.0.?	$[(49, 989)]$
411840.bf1	411840bf1	411840.bf	411840bf	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \)	\( - 2^{23} \cdot 3^{9} \cdot 5 \cdot 11^{3} \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$17160$	$2$	$0$	$1$	$1$		$0$	$2764800$	$1.778713$	$-27/2768480$	$1.30404$	$3.45385$	$[0, 0, 0, -108, 5750352]$	\(y^2=x^3-108x+5750352\)	17160.2.0.?	$[ ]$
411840.fr1	411840fr1	411840.fr	411840fr	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \)	\( - 2^{23} \cdot 3^{9} \cdot 5 \cdot 11^{3} \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$17160$	$2$	$0$	$1$	$1$		$0$	$2764800$	$1.778713$	$-27/2768480$	$1.30404$	$3.45385$	$[0, 0, 0, -108, -5750352]$	\(y^2=x^3-108x-5750352\)	17160.2.0.?	$[ ]$
411840.ia1	411840ia1	411840.ia	411840ia	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \)	\( - 2^{23} \cdot 3^{3} \cdot 5 \cdot 11^{3} \cdot 13 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$17160$	$2$	$0$	$2.013670472$	$1$		$10$	$921600$	$1.229406$	$-27/2768480$	$1.30404$	$2.94399$	$[0, 0, 0, -12, -212976]$	\(y^2=x^3-12x-212976\)	17160.2.0.?	$[(130, 1408), (60, 48)]$
411840.mt1	411840mt1	411840.mt	411840mt	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \)	\( - 2^{23} \cdot 3^{3} \cdot 5 \cdot 11^{3} \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$17160$	$2$	$0$	$1$	$1$		$0$	$921600$	$1.229406$	$-27/2768480$	$1.30404$	$2.94399$	$[0, 0, 0, -12, 212976]$	\(y^2=x^3-12x+212976\)	17160.2.0.?	$[ ]$

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