Elliptic curve search results

Results (8 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
38025.r1	38025x1	38025.r	38025x	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 13^{2} \)	\( 3^{3} \cdot 5^{8} \cdot 13^{2} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$12$	$2$	$0$	$0.766911643$	$1$		$12$	$14400$	$0.464921$	$1755$	$0.85760$	$2.72819$	$[1, -1, 1, -305, -178]$	\(y^2+xy+y=x^3-x^2-305x-178\)	12.2.0.a.1	$[(-6, 40), (219, 3115)]$
38025.s1	38025m1	38025.s	38025m	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 13^{2} \)	\( 3^{3} \cdot 5^{2} \cdot 13^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$12$	$2$	$0$	$0.691623787$	$1$		$4$	$37440$	$0.942677$	$1755$	$0.85760$	$3.27181$	$[1, -1, 1, -2060, -3948]$	\(y^2+xy+y=x^3-x^2-2060x-3948\)	12.2.0.a.1	$[(-42, 105)]$
38025.x1	38025w1	38025.x	38025w	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 13^{2} \)	\( 3^{9} \cdot 5^{8} \cdot 13^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$12$	$2$	$0$	$1$	$1$		$0$	$561600$	$2.296703$	$1755$	$0.85760$	$4.81252$	$[1, -1, 1, -463430, 15177322]$	\(y^2+xy+y=x^3-x^2-463430x+15177322\)	12.2.0.a.1	$[]$
38025.z1	38025k1	38025.z	38025k	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 13^{2} \)	\( 3^{9} \cdot 5^{2} \cdot 13^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$12$	$2$	$0$	$1.177800862$	$1$		$2$	$8640$	$0.209508$	$1755$	$0.85760$	$2.43756$	$[1, -1, 1, -110, 82]$	\(y^2+xy+y=x^3-x^2-110x+82\)	12.2.0.a.1	$[(13, 20)]$
38025.ce1	38025j1	38025.ce	38025j	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 13^{2} \)	\( 3^{9} \cdot 5^{2} \cdot 13^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$12$	$2$	$0$	$2.050993796$	$1$		$0$	$112320$	$1.491983$	$1755$	$0.85760$	$3.89685$	$[1, -1, 0, -18537, 125126]$	\(y^2+xy=x^3-x^2-18537x+125126\)	12.2.0.a.1	$[(1015/2, 26363/2)]$
38025.cg1	38025v1	38025.cg	38025v	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 13^{2} \)	\( 3^{9} \cdot 5^{8} \cdot 13^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$12$	$2$	$0$	$1$	$1$		$0$	$43200$	$1.014227$	$1755$	$0.85760$	$3.35323$	$[1, -1, 0, -2742, 7541]$	\(y^2+xy=x^3-x^2-2742x+7541\)	12.2.0.a.1	$[]$
38025.co1	38025h1	38025.co	38025h	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 13^{2} \)	\( 3^{3} \cdot 5^{2} \cdot 13^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$12$	$2$	$0$	$1.256910103$	$1$		$2$	$2880$	$-0.339798$	$1755$	$0.85760$	$1.81252$	$[1, -1, 0, -12, 1]$	\(y^2+xy=x^3-x^2-12x+1\)	12.2.0.a.1	$[(0, 1)]$
38025.cp1	38025u1	38025.cp	38025u	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 13^{2} \)	\( 3^{3} \cdot 5^{8} \cdot 13^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$12$	$2$	$0$	$1$	$4$	$2$	$0$	$187200$	$1.747396$	$1755$	$0.85760$	$4.18748$	$[1, -1, 0, -51492, -544959]$	\(y^2+xy=x^3-x^2-51492x-544959\)	12.2.0.a.1	$[]$