Elliptic curves over $\Q$ of conductor 728

Results (4 matches)

  Download displayed columns for results to

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
728.a1	728d1	728.a	728d	$1$	$1$	\( 2^{3} \cdot 7 \cdot 13 \)	\( - 2^{8} \cdot 7^{3} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$182$	$2$	$0$	$0.127113925$	$1$		$8$	$96$	$-0.158746$	$-1024/4459$	$0.96270$	$3.24761$	$[0, 1, 0, -1, 51]$	\(y^2=x^3+x^2-x+51\)	182.2.0.?	$[(5, 14)]$
728.b1	728a1	728.b	728a	$1$	$1$	\( 2^{3} \cdot 7 \cdot 13 \)	\( - 2^{11} \cdot 7 \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$728$	$2$	$0$	$1$	$1$		$0$	$48$	$-0.301737$	$-31250/91$	$0.83978$	$3.00008$	$[0, -1, 0, -8, -20]$	\(y^2=x^3-x^2-8x-20\)	728.2.0.?	$[ ]$
728.c1	728c1	728.c	728c	$1$	$1$	\( 2^{3} \cdot 7 \cdot 13 \)	\( - 2^{8} \cdot 7 \cdot 13^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$182$	$2$	$0$	$0.421518436$	$1$		$6$	$96$	$0.002399$	$-135834624/15379$	$0.86662$	$3.71012$	$[0, 0, 0, -68, -236]$	\(y^2=x^3-68x-236\)	182.2.0.?	$[(12, 26)]$
728.d1	728b1	728.d	728b	$1$	$1$	\( 2^{3} \cdot 7 \cdot 13 \)	\( - 2^{8} \cdot 7 \cdot 13^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$182$	$2$	$0$	$1$	$1$		$0$	$672$	$0.808213$	$530208386048/439239619$	$0.96694$	$4.93782$	$[0, -1, 0, 1071, 8501]$	\(y^2=x^3-x^2+1071x+8501\)	182.2.0.?	$[ ]$

  Download displayed columns for results to