Elliptic curve search results

Results (6 matches)

 

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
135240.i2	135240bu1	135240.i	135240bu	$2$	$2$	\( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \)	\( 2^{10} \cdot 3^{4} \cdot 5^{2} \cdot 7^{9} \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$6440$	$12$	$0$	$1$	$1$		$1$	$974848$	$1.827839$	$27566165308/46575$	$0.85854$	$4.10371$	$[0, -1, 0, -217576, 39078460]$	\(y^2=x^3-x^2-217576x+39078460\)	2.3.0.a.1, 280.6.0.?, 322.6.0.?, 920.6.0.?, 6440.12.0.?	$[]$
135240.di2	135240e1	135240.di	135240e	$2$	$2$	\( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \)	\( 2^{10} \cdot 3^{4} \cdot 5^{2} \cdot 7^{3} \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$6440$	$12$	$0$	$1$	$1$		$1$	$139264$	$0.854884$	$27566165308/46575$	$0.85854$	$3.11550$	$[0, 1, 0, -4440, -115200]$	\(y^2=x^3+x^2-4440x-115200\)	2.3.0.a.1, 280.6.0.?, 322.6.0.?, 920.6.0.?, 6440.12.0.?	$[]$
270480.dr2	270480dr1	270480.dr	270480dr	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \)	\( 2^{10} \cdot 3^{4} \cdot 5^{2} \cdot 7^{3} \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$6440$	$12$	$0$	$0.732809157$	$1$		$9$	$278528$	$0.854884$	$27566165308/46575$	$0.85854$	$2.94285$	$[0, -1, 0, -4440, 115200]$	\(y^2=x^3-x^2-4440x+115200\)	2.3.0.a.1, 280.6.0.?, 322.6.0.?, 920.6.0.?, 6440.12.0.?	$[(30, 90)]$
270480.ga2	270480ga1	270480.ga	270480ga	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \)	\( 2^{10} \cdot 3^{4} \cdot 5^{2} \cdot 7^{9} \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$6440$	$12$	$0$	$2.897163648$	$1$		$5$	$1949696$	$1.827839$	$27566165308/46575$	$0.85854$	$3.87630$	$[0, 1, 0, -217576, -39078460]$	\(y^2=x^3+x^2-217576x-39078460\)	2.3.0.a.1, 280.6.0.?, 322.6.0.?, 920.6.0.?, 6440.12.0.?	$[(-274, 204)]$
405720.bt2	405720bt1	405720.bt	405720bt	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 23 \)	\( 2^{10} \cdot 3^{10} \cdot 5^{2} \cdot 7^{3} \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$6440$	$12$	$0$	$2.713126728$	$1$		$5$	$1114112$	$1.404190$	$27566165308/46575$	$0.85854$	$3.36090$	$[0, 0, 0, -39963, 3070438]$	\(y^2=x^3-39963x+3070438\)	2.3.0.a.1, 280.6.0.?, 322.6.0.?, 920.6.0.?, 6440.12.0.?	$[(63, 896)]$
405720.fi2	405720fi1	405720.fi	405720fi	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 23 \)	\( 2^{10} \cdot 3^{10} \cdot 5^{2} \cdot 7^{9} \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$6440$	$12$	$0$	$1$	$1$		$1$	$7798784$	$2.377144$	$27566165308/46575$	$0.85854$	$4.26504$	$[0, 0, 0, -1958187, -1053160234]$	\(y^2=x^3-1958187x-1053160234\)	2.3.0.a.1, 280.6.0.?, 322.6.0.?, 920.6.0.?, 6440.12.0.?	$[]$