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
88800.x1	88800bt1	88800.x	88800bt	$1$	$1$	\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 37 \)	\( - 2^{9} \cdot 3^{4} \cdot 5^{9} \cdot 37 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1480$	$2$	$0$	$1.101909018$	$1$		$4$	$179200$	$1.076403$	$636056/2997$	$0.80638$	$3.16411$	$[0, -1, 0, 1792, 77412]$	\(y^2=x^3-x^2+1792x+77412\)	1480.2.0.?	$[(-8, 250)]$
88800.bb1	88800bw1	88800.bb	88800bw	$1$	$1$	\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 37 \)	\( - 2^{9} \cdot 3^{4} \cdot 5^{3} \cdot 37 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1480$	$2$	$0$	$1$	$1$		$0$	$35840$	$0.271683$	$636056/2997$	$0.80638$	$2.31660$	$[0, -1, 0, 72, -648]$	\(y^2=x^3-x^2+72x-648\)	1480.2.0.?	$[ ]$
88800.bo1	88800bb1	88800.bo	88800bb	$1$	$1$	\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 37 \)	\( - 2^{9} \cdot 3^{4} \cdot 5^{3} \cdot 37 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1480$	$2$	$0$	$0.589037887$	$1$		$14$	$35840$	$0.271683$	$636056/2997$	$0.80638$	$2.31660$	$[0, 1, 0, 72, 648]$	\(y^2=x^3+x^2+72x+648\)	1480.2.0.?	$[(18, 90), (3, 30)]$
88800.bs1	88800y1	88800.bs	88800y	$1$	$1$	\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 37 \)	\( - 2^{9} \cdot 3^{4} \cdot 5^{9} \cdot 37 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1480$	$2$	$0$	$2.463715656$	$1$		$0$	$179200$	$1.076403$	$636056/2997$	$0.80638$	$3.16411$	$[0, 1, 0, 1792, -77412]$	\(y^2=x^3+x^2+1792x-77412\)	1480.2.0.?	$[(157/2, 1875/2)]$
177600.r1	177600hd1	177600.r	177600hd	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 37 \)	\( - 2^{15} \cdot 3^{4} \cdot 5^{9} \cdot 37 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1480$	$2$	$0$	$1.580578573$	$1$		$2$	$716800$	$1.422976$	$636056/2997$	$0.80638$	$3.32673$	$[0, -1, 0, 7167, -626463]$	\(y^2=x^3-x^2+7167x-626463\)	1480.2.0.?	$[(267, 4500)]$
177600.bb1	177600hf1	177600.bb	177600hf	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 37 \)	\( - 2^{15} \cdot 3^{4} \cdot 5^{3} \cdot 37 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1480$	$2$	$0$	$0.732192550$	$1$		$14$	$143360$	$0.618257$	$636056/2997$	$0.80638$	$2.52783$	$[0, -1, 0, 287, 4897]$	\(y^2=x^3-x^2+287x+4897\)	1480.2.0.?	$[(1, 72), (17, 120)]$
177600.il1	177600fg1	177600.il	177600fg	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 37 \)	\( - 2^{15} \cdot 3^{4} \cdot 5^{3} \cdot 37 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1480$	$2$	$0$	$0.412567696$	$1$		$6$	$143360$	$0.618257$	$636056/2997$	$0.80638$	$2.52783$	$[0, 1, 0, 287, -4897]$	\(y^2=x^3+x^2+287x-4897\)	1480.2.0.?	$[(23, 120)]$
177600.ix1	177600fj1	177600.ix	177600fj	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 37 \)	\( - 2^{15} \cdot 3^{4} \cdot 5^{9} \cdot 37 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1480$	$2$	$0$	$1$	$1$		$0$	$716800$	$1.422976$	$636056/2997$	$0.80638$	$3.32673$	$[0, 1, 0, 7167, 626463]$	\(y^2=x^3+x^2+7167x+626463\)	1480.2.0.?	$[ ]$
266400.o1	266400o1	266400.o	266400o	$1$	$1$	\( 2^{5} \cdot 3^{2} \cdot 5^{2} \cdot 37 \)	\( - 2^{9} \cdot 3^{10} \cdot 5^{9} \cdot 37 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1480$	$2$	$0$	$1$	$1$		$0$	$1433600$	$1.625708$	$636056/2997$	$0.80638$	$3.41350$	$[0, 0, 0, 16125, 2106250]$	\(y^2=x^3+16125x+2106250\)	1480.2.0.?	$[ ]$
266400.z1	266400z1	266400.z	266400z	$1$	$1$	\( 2^{5} \cdot 3^{2} \cdot 5^{2} \cdot 37 \)	\( - 2^{9} \cdot 3^{10} \cdot 5^{3} \cdot 37 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1480$	$2$	$0$	$2.110813556$	$1$		$2$	$286720$	$0.820989$	$636056/2997$	$0.80638$	$2.64052$	$[0, 0, 0, 645, -16850]$	\(y^2=x^3+645x-16850\)	1480.2.0.?	$[(29, 162)]$
266400.ee1	266400ee1	266400.ee	266400ee	$1$	$1$	\( 2^{5} \cdot 3^{2} \cdot 5^{2} \cdot 37 \)	\( - 2^{9} \cdot 3^{10} \cdot 5^{3} \cdot 37 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1480$	$2$	$0$	$1$	$1$		$0$	$286720$	$0.820989$	$636056/2997$	$0.80638$	$2.64052$	$[0, 0, 0, 645, 16850]$	\(y^2=x^3+645x+16850\)	1480.2.0.?	$[ ]$
266400.ep1	266400ep1	266400.ep	266400ep	$1$	$1$	\( 2^{5} \cdot 3^{2} \cdot 5^{2} \cdot 37 \)	\( - 2^{9} \cdot 3^{10} \cdot 5^{9} \cdot 37 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1480$	$2$	$0$	$4.529400238$	$1$		$2$	$1433600$	$1.625708$	$636056/2997$	$0.80638$	$3.41350$	$[0, 0, 0, 16125, -2106250]$	\(y^2=x^3+16125x-2106250\)	1480.2.0.?	$[(469, 10422)]$

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