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
26284.a1	26284a1	26284.a	26284a	$1$	$1$	\( 2^{2} \cdot 6571 \)	\( - 2^{4} \cdot 6571 \)	$3$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$13142$	$2$	$0$	$0.666468303$	$1$		$32$	$5256$	$-0.342361$	$-5619712/6571$	$0.66525$	$1.90826$	$[0, 1, 0, -9, 16]$	\(y^2=x^3+x^2-9x+16\)	13142.2.0.?	$[(1, 3), (-1, 5), (3, 5)]$
105136.d1	105136d1	105136.d	105136d	$1$	$1$	\( 2^{4} \cdot 6571 \)	\( - 2^{4} \cdot 6571 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$13142$	$2$	$0$	$1$	$4$	$2$	$0$	$21024$	$-0.342361$	$-5619712/6571$	$0.66525$	$1.67948$	$[0, -1, 0, -9, -16]$	\(y^2=x^3-x^2-9x-16\)	13142.2.0.?	$[]$
236556.a1	236556a1	236556.a	236556a	$1$	$1$	\( 2^{2} \cdot 3^{2} \cdot 6571 \)	\( - 2^{4} \cdot 3^{6} \cdot 6571 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$13142$	$2$	$0$	$9.496741597$	$1$		$4$	$126144$	$0.206944$	$-5619712/6571$	$0.66525$	$2.10212$	$[0, 0, 0, -84, -515]$	\(y^2=x^3-84x-515\)	13142.2.0.?	$[(15, 40), (27, 130)]$
420544.b1	420544b1	420544.b	420544b	$1$	$1$	\( 2^{6} \cdot 6571 \)	\( - 2^{10} \cdot 6571 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$13142$	$2$	$0$	$3.839385114$	$1$		$0$	$168192$	$0.004212$	$-5619712/6571$	$0.66525$	$1.82085$	$[0, 1, 0, -37, -165]$	\(y^2=x^3+x^2-37x-165\)	13142.2.0.?	$[(29/2, 5/2)]$
420544.i1	420544i1	420544.i	420544i	$1$	$1$	\( 2^{6} \cdot 6571 \)	\( - 2^{10} \cdot 6571 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$13142$	$2$	$0$	$3.452603294$	$1$		$0$	$168192$	$0.004212$	$-5619712/6571$	$0.66525$	$1.82085$	$[0, -1, 0, -37, 165]$	\(y^2=x^3-x^2-37x+165\)	13142.2.0.?	$[(21/2, 75/2)]$