Elliptic curve search results

Results (5 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
37830.b1	37830d1	37830.b	37830d	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 97 \)	\( - 2^{12} \cdot 3^{2} \cdot 5^{5} \cdot 13^{3} \cdot 97 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$25220$	$2$	$0$	$1.449342085$	$1$		$4$	$195840$	$1.405380$	$-3741843290232306169/24550156800000$	$0.92622$	$4.05825$	$[1, 1, 0, -32343, -2265003]$	\(y^2+xy=x^3+x^2-32343x-2265003\)	25220.2.0.?	$[(222, 1137)]$
113490.bj1	113490bo1	113490.bj	113490bo	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 13 \cdot 97 \)	\( - 2^{12} \cdot 3^{8} \cdot 5^{5} \cdot 13^{3} \cdot 97 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$25220$	$2$	$0$	$0.059154499$	$1$		$44$	$1566720$	$1.954687$	$-3741843290232306169/24550156800000$	$0.92622$	$4.24152$	$[1, -1, 1, -291092, 60863991]$	\(y^2+xy+y=x^3-x^2-291092x+60863991\)	25220.2.0.?	$[(581, 9069), (269, 1269)]$
189150.db1	189150r1	189150.db	189150r	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 13 \cdot 97 \)	\( - 2^{12} \cdot 3^{2} \cdot 5^{11} \cdot 13^{3} \cdot 97 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$25220$	$2$	$0$	$4.621579920$	$1$		$2$	$4700160$	$2.210098$	$-3741843290232306169/24550156800000$	$0.92622$	$4.31545$	$[1, 0, 0, -808588, -281508208]$	\(y^2+xy=x^3-808588x-281508208\)	25220.2.0.?	$[(1142, 16304)]$
302640.cc1	302640cc1	302640.cc	302640cc	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5 \cdot 13 \cdot 97 \)	\( - 2^{24} \cdot 3^{2} \cdot 5^{5} \cdot 13^{3} \cdot 97 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$25220$	$2$	$0$	$2.630408316$	$1$		$2$	$4700160$	$2.098530$	$-3741843290232306169/24550156800000$	$0.92622$	$4.04865$	$[0, 1, 0, -517496, 143925204]$	\(y^2=x^3+x^2-517496x+143925204\)	25220.2.0.?	$[(436, 1170)]$
491790.ch1	491790ch1	491790.ch	491790ch	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 13^{2} \cdot 97 \)	\( - 2^{12} \cdot 3^{2} \cdot 5^{5} \cdot 13^{9} \cdot 97 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$25220$	$2$	$0$	$0.650027597$	$1$		$6$	$32901120$	$2.687855$	$-3741843290232306169/24550156800000$	$0.92622$	$4.43827$	$[1, 1, 1, -5466055, -4948881475]$	\(y^2+xy+y=x^3+x^2-5466055x-4948881475\)	25220.2.0.?	$[(4243, 217578)]$