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
40310.p2	40310bd1	40310.p	40310bd	$2$	$7$	\( 2 \cdot 5 \cdot 29 \cdot 139 \)	\( - 2^{14} \cdot 5^{14} \cdot 29^{7} \cdot 139 \)	$0$	$\Z/7\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$7$	7.48.0.1	7B.1.1	$56434$	$96$	$2$	$1$	$1$		$6$	$29503488$	$3.750435$	$-107350761560343751123953328881/239773280695100000000000000$	$1.02080$	$6.45271$	$[1, -1, 1, -99013362, -835939931151]$	\(y^2+xy+y=x^3-x^2-99013362x-835939931151\)	7.48.0-7.a.1.2, 8062.2.0.?, 56434.96.2.?	$[]$
201550.r2	201550bk1	201550.r	201550bk	$2$	$7$	\( 2 \cdot 5^{2} \cdot 29 \cdot 139 \)	\( - 2^{14} \cdot 5^{20} \cdot 29^{7} \cdot 139 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.1	7B.6.1	$282170$	$96$	$2$	$1$	$9$	$3$	$0$	$708083712$	$4.555153$	$-107350761560343751123953328881/239773280695100000000000000$	$1.02080$	$6.39306$	$[1, -1, 0, -2475334042, -104494966727884]$	\(y^2+xy=x^3-x^2-2475334042x-104494966727884\)	7.24.0.a.1, 35.48.0-7.a.1.1, 8062.2.0.?, 56434.48.2.?, 282170.96.2.?	$[]$
322480.cw2	322480cw1	322480.cw	322480cw	$2$	$7$	\( 2^{4} \cdot 5 \cdot 29 \cdot 139 \)	\( - 2^{26} \cdot 5^{14} \cdot 29^{7} \cdot 139 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.1	7B.6.1	$112868$	$96$	$2$	$1.638945407$	$1$		$0$	$708083712$	$4.443581$	$-107350761560343751123953328881/239773280695100000000000000$	$1.02080$	$6.05060$	$[0, 0, 0, -1584213787, 53501739807434]$	\(y^2=x^3-1584213787x+53501739807434\)	7.24.0.a.1, 28.48.0-7.a.1.1, 8062.2.0.?, 56434.48.2.?, 112868.96.2.?	$[(4883557/3, 10764800000/3)]$
362790.j2	362790j1	362790.j	362790j	$2$	$7$	\( 2 \cdot 3^{2} \cdot 5 \cdot 29 \cdot 139 \)	\( - 2^{14} \cdot 3^{6} \cdot 5^{14} \cdot 29^{7} \cdot 139 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.1	7B.6.1	$169302$	$96$	$2$	$1$	$16$	$2$	$0$	$413048832$	$4.299744$	$-107350761560343751123953328881/239773280695100000000000000$	$1.02080$	$5.86010$	$[1, -1, 0, -891120255, 22571269261325]$	\(y^2+xy=x^3-x^2-891120255x+22571269261325\)	7.24.0.a.1, 21.48.0-7.a.1.2, 8062.2.0.?, 56434.48.2.?, 169302.96.2.?	$[]$