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.bl2	64974bd1	64974.bl	64974bd	$2$	$7$	\( 2 \cdot 3 \cdot 7^{2} \cdot 13 \cdot 17 \)	\( - 2^{3} \cdot 3^{2} \cdot 7^{8} \cdot 13^{14} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.48.0.2	7B.1.4	$952$	$96$	$2$	$1.634813699$	$1$		$0$	$14620032$	$3.605724$	$-24905087205614147556241/4819348696095929736$	$1.04426$	$6.08434$	$[1, 1, 1, -109089485, 506551623563]$	\(y^2+xy+y=x^3+x^2-109089485x+506551623563\)	7.48.0-7.a.2.1, 136.2.0.?, 952.96.2.?	$[(21159/2, 2206595/2)]$
64974.bw2	64974bx1	64974.bw	64974bx	$2$	$7$	\( 2 \cdot 3 \cdot 7^{2} \cdot 13 \cdot 17 \)	\( - 2^{3} \cdot 3^{2} \cdot 7^{2} \cdot 13^{14} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.48.0.5	7B.1.3	$952$	$96$	$2$	$14.82540158$	$1$		$0$	$2088576$	$2.632771$	$-24905087205614147556241/4819348696095929736$	$1.04426$	$5.03077$	$[1, 0, 0, -2226316, -1477144936]$	\(y^2+xy=x^3-2226316x-1477144936\)	7.48.0-7.a.2.2, 136.2.0.?, 952.96.2.?	$[(53359740806/2695, 11973915686355386/2695)]$
194922.bb2	194922dg1	194922.bb	194922dg	$2$	$7$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 13 \cdot 17 \)	\( - 2^{3} \cdot 3^{8} \cdot 7^{8} \cdot 13^{14} \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.2	7B.6.3	$2856$	$96$	$2$	$1$	$1$		$0$	$116960256$	$4.155029$	$-24905087205614147556241/4819348696095929736$	$1.04426$	$6.07673$	$[1, -1, 0, -981805365, -13677875641571]$	\(y^2+xy=x^3-x^2-981805365x-13677875641571\)	7.24.0.a.2, 21.48.0-7.a.2.1, 136.2.0.?, 952.48.2.?, 2856.96.2.?	$[]$
194922.bm2	194922dn1	194922.bm	194922dn	$2$	$7$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 13 \cdot 17 \)	\( - 2^{3} \cdot 3^{8} \cdot 7^{2} \cdot 13^{14} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.2	7B.6.3	$2856$	$96$	$2$	$14.68461140$	$1$		$0$	$16708608$	$3.182076$	$-24905087205614147556241/4819348696095929736$	$1.04426$	$5.11819$	$[1, -1, 0, -20036844, 39882913272]$	\(y^2+xy=x^3-x^2-20036844x+39882913272\)	7.24.0.a.2, 21.48.0-7.a.2.2, 136.2.0.?, 952.48.2.?, 2856.96.2.?	$[(54091163319/1735, 12181042789374777/1735)]$