Elliptic curve search results

Results (4 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
64974.bl1	64974bd2	64974.bl	64974bd	$2$	$7$	\( 2 \cdot 3 \cdot 7^{2} \cdot 13 \cdot 17 \)	\( - 2^{21} \cdot 3^{14} \cdot 7^{8} \cdot 13^{2} \cdot 17^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.48.0.4	7B.1.6	$952$	$96$	$2$	$11.44369589$	$1$		$0$	$102340224$	$4.578682$	$-1521059241134755603512440881/695595284594977727840256$	$1.03669$	$7.10528$	$[1, 1, 1, -4296045895, -145014496259011]$	\(y^2+xy+y=x^3+x^2-4296045895x-145014496259011\)	7.48.0-7.a.1.1, 136.2.0.?, 952.96.2.?	$[(15574151/2, 61437634311/2)]$
64974.bw1	64974bx2	64974.bw	64974bx	$2$	$7$	\( 2 \cdot 3 \cdot 7^{2} \cdot 13 \cdot 17 \)	\( - 2^{21} \cdot 3^{14} \cdot 7^{2} \cdot 13^{2} \cdot 17^{7} \)	$1$	$\Z/7\Z$	$\Q$		$\mathrm{SU}(2)$			$7$	7.48.0.1	7B.1.1	$952$	$96$	$2$	$2.117914511$	$1$		$14$	$14620032$	$3.605724$	$-1521059241134755603512440881/695595284594977727840256$	$1.03669$	$6.05170$	$[1, 0, 0, -87674406, 422770263012]$	\(y^2+xy=x^3-87674406x+422770263012\)	7.48.0-7.a.1.2, 136.2.0.?, 952.96.2.?	$[(5454, 324132)]$
194922.bb1	194922dg2	194922.bb	194922dg	$2$	$7$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 13 \cdot 17 \)	\( - 2^{21} \cdot 3^{20} \cdot 7^{8} \cdot 13^{2} \cdot 17^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.1	7B.6.1	$2856$	$96$	$2$	$1$	$1$		$0$	$818721792$	$5.127983$	$-1521059241134755603512440881/695595284594977727840256$	$1.03669$	$7.00558$	$[1, -1, 0, -38664413055, 3915352734580237]$	\(y^2+xy=x^3-x^2-38664413055x+3915352734580237\)	7.24.0.a.1, 21.48.0-7.a.1.1, 136.2.0.?, 952.48.2.?, 2856.96.2.?	$[]$
194922.bm1	194922dn2	194922.bm	194922dn	$2$	$7$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 13 \cdot 17 \)	\( - 2^{21} \cdot 3^{20} \cdot 7^{2} \cdot 13^{2} \cdot 17^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.1	7B.6.1	$2856$	$96$	$2$	$102.7922798$	$1$		$0$	$116960256$	$4.155029$	$-1521059241134755603512440881/695595284594977727840256$	$1.03669$	$6.04704$	$[1, -1, 0, -789069654, -11414797101324]$	\(y^2+xy=x^3-x^2-789069654x-11414797101324\)	7.24.0.a.1, 21.48.0-7.a.1.2, 136.2.0.?, 952.48.2.?, 2856.96.2.?	$[(3151750418848280856451771396407282224076079131/302902686340316095895, 38964916496307854747739320878515745512463506626853458716777350580119/302902686340316095895)]$