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	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators
37920.f1	37920a1	37920.f	37920a	$1$	$1$	\( 2^{5} \cdot 3 \cdot 5 \cdot 79 \)	\( - 2^{12} \cdot 3^{5} \cdot 5^{2} \cdot 79 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$948$	$2$	$0$	$1.998045104$	$1$		$2$	$23040$	$0.476539$	$-379503424/479925$	$0.81121$	$2.77246$	$[0, -1, 0, -241, -2495]$	\(y^2=x^3-x^2-241x-2495\)	948.2.0.?	$[(23, 60)]$
37920.l1	37920o1	37920.l	37920o	$1$	$1$	\( 2^{5} \cdot 3 \cdot 5 \cdot 79 \)	\( - 2^{12} \cdot 3^{5} \cdot 5^{2} \cdot 79 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$948$	$2$	$0$	$0.175482857$	$1$		$26$	$23040$	$0.476539$	$-379503424/479925$	$0.81121$	$2.77246$	$[0, 1, 0, -241, 2495]$	\(y^2=x^3+x^2-241x+2495\)	948.2.0.?	$[(-13, 60), (11, 36)]$
75840.z1	75840q1	75840.z	75840q	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5 \cdot 79 \)	\( - 2^{6} \cdot 3^{5} \cdot 5^{2} \cdot 79 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$948$	$2$	$0$	$1.603494028$	$1$		$2$	$23040$	$0.129965$	$-379503424/479925$	$0.81121$	$2.23130$	$[0, -1, 0, -60, 342]$	\(y^2=x^3-x^2-60x+342\)	948.2.0.?	$[(-1, 20)]$
75840.ck1	75840be1	75840.ck	75840be	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5 \cdot 79 \)	\( - 2^{6} \cdot 3^{5} \cdot 5^{2} \cdot 79 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$948$	$2$	$0$	$1.151553550$	$1$		$2$	$23040$	$0.129965$	$-379503424/479925$	$0.81121$	$2.23130$	$[0, 1, 0, -60, -342]$	\(y^2=x^3+x^2-60x-342\)	948.2.0.?	$[(21, 90)]$
113760.ba1	113760t1	113760.ba	113760t	$1$	$1$	\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 79 \)	\( - 2^{12} \cdot 3^{11} \cdot 5^{2} \cdot 79 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$948$	$2$	$0$	$1$	$1$		$0$	$184320$	$1.025845$	$-379503424/479925$	$0.81121$	$3.07703$	$[0, 0, 0, -2172, -69536]$	\(y^2=x^3-2172x-69536\)	948.2.0.?	$[ ]$
113760.be1	113760bh1	113760.be	113760bh	$1$	$1$	\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 79 \)	\( - 2^{12} \cdot 3^{11} \cdot 5^{2} \cdot 79 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$948$	$2$	$0$	$0.502766434$	$1$		$18$	$184320$	$1.025845$	$-379503424/479925$	$0.81121$	$3.07703$	$[0, 0, 0, -2172, 69536]$	\(y^2=x^3-2172x+69536\)	948.2.0.?	$[(142, 1620), (22, 180)]$
189600.p1	189600ca1	189600.p	189600ca	$1$	$1$	\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 79 \)	\( - 2^{12} \cdot 3^{5} \cdot 5^{8} \cdot 79 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$948$	$2$	$0$	$1$	$1$		$0$	$552960$	$1.281258$	$-379503424/479925$	$0.81121$	$3.19990$	$[0, -1, 0, -6033, 323937]$	\(y^2=x^3-x^2-6033x+323937\)	948.2.0.?	$[ ]$
189600.bo1	189600i1	189600.bo	189600i	$1$	$1$	\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 79 \)	\( - 2^{12} \cdot 3^{5} \cdot 5^{8} \cdot 79 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$948$	$2$	$0$	$1.022947674$	$1$		$4$	$552960$	$1.281258$	$-379503424/479925$	$0.81121$	$3.19990$	$[0, 1, 0, -6033, -323937]$	\(y^2=x^3+x^2-6033x-323937\)	948.2.0.?	$[(123, 900)]$
227520.y1	227520dy1	227520.y	227520dy	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 79 \)	\( - 2^{6} \cdot 3^{11} \cdot 5^{2} \cdot 79 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$948$	$2$	$0$	$1.933059162$	$1$		$0$	$184320$	$0.679272$	$-379503424/479925$	$0.81121$	$2.56696$	$[0, 0, 0, -543, -8692]$	\(y^2=x^3-543x-8692\)	948.2.0.?	$[(121/2, 405/2)]$
227520.bu1	227520ei1	227520.bu	227520ei	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 79 \)	\( - 2^{6} \cdot 3^{11} \cdot 5^{2} \cdot 79 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$948$	$2$	$0$	$1$	$1$		$0$	$184320$	$0.679272$	$-379503424/479925$	$0.81121$	$2.56696$	$[0, 0, 0, -543, 8692]$	\(y^2=x^3-543x+8692\)	948.2.0.?	$[ ]$
379200.bw1	379200bw1	379200.bw	379200bw	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 79 \)	\( - 2^{6} \cdot 3^{5} \cdot 5^{8} \cdot 79 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$948$	$2$	$0$	$4.628524604$	$1$		$2$	$552960$	$0.934684$	$-379503424/479925$	$0.81121$	$2.70348$	$[0, -1, 0, -1508, -39738]$	\(y^2=x^3-x^2-1508x-39738\)	948.2.0.?	$[(487, 10700)]$
379200.hg1	379200hg1	379200.hg	379200hg	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 79 \)	\( - 2^{6} \cdot 3^{5} \cdot 5^{8} \cdot 79 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$948$	$2$	$0$	$1.386249572$	$1$		$2$	$552960$	$0.934684$	$-379503424/479925$	$0.81121$	$2.70348$	$[0, 1, 0, -1508, 39738]$	\(y^2=x^3+x^2-1508x+39738\)	948.2.0.?	$[(13, 150)]$

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