Elliptic curve search results

Results (7 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	Regulator	$Ш_{\textrm{an}}$	Ш primes	Integral points	Modular degree	Faltings height	j-invariant	Weierstrass coefficients	Weierstrass equation
5077.a1	5077a1	5077.a	5077a	$1$	$1$	\( 5077 \)	\( 5077 \)	$3$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$0.417143558$	$1$		$36$	$1984$	$-0.561390$	$37933056/5077$	$[0, 0, 1, -7, 6]$	\(y^2+y=x^3-7x+6\)
45693.a1	45693a1	45693.a	45693a	$1$	$1$	\( 3^{2} \cdot 5077 \)	\( 3^{6} \cdot 5077 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1$	$4$	$2$	$0$	$27776$	$-0.012084$	$37933056/5077$	$[0, 0, 1, -63, -169]$	\(y^2+y=x^3-63x-169\)
81232.d1	81232d1	81232.d	81232d	$1$	$1$	\( 2^{4} \cdot 5077 \)	\( 2^{12} \cdot 5077 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1$	$4$	$2$	$0$	$79360$	$0.131757$	$37933056/5077$	$[0, 0, 0, -112, -400]$	\(y^2=x^3-112x-400\)
126925.b1	126925b1	126925.b	126925b	$1$	$1$	\( 5^{2} \cdot 5077 \)	\( 5^{6} \cdot 5077 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1$	$4$	$2$	$0$	$158720$	$0.243329$	$37933056/5077$	$[0, 0, 1, -175, 781]$	\(y^2+y=x^3-175x+781\)
248773.c1	248773c1	248773.c	248773c	$1$	$1$	\( 7^{2} \cdot 5077 \)	\( 7^{6} \cdot 5077 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1$	$1$		$0$	$571392$	$0.411565$	$37933056/5077$	$[0, 0, 1, -343, -2144]$	\(y^2+y=x^3-343x-2144\)
324928.a1	324928a1	324928.a	324928a	$1$	$1$	\( 2^{6} \cdot 5077 \)	\( 2^{6} \cdot 5077 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$3.607661970$	$1$		$0$	$158720$	$-0.214817$	$37933056/5077$	$[0, 0, 0, -28, -50]$	\(y^2=x^3-28x-50\)
324928.h1	324928h1	324928.h	324928h	$1$	$1$	\( 2^{6} \cdot 5077 \)	\( 2^{6} \cdot 5077 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1$	$4$	$2$	$0$	$158720$	$-0.214817$	$37933056/5077$	$[0, 0, 0, -28, 50]$	\(y^2=x^3-28x+50\)