Elliptic curves over $\Q$ of conductor 2075

Results (4 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
2075.a1	2075c1	2075.a	2075c	$1$	$1$	\( 5^{2} \cdot 83 \)	\( - 5^{10} \cdot 83 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$166$	$2$	$0$	$1$	$1$		$0$	$2688$	$0.678325$	$-143960212521/51875$	$0.90180$	$4.62835$	$[1, -1, 1, -2730, -54228]$	\(y^2+xy+y=x^3-x^2-2730x-54228\)	166.2.0.?	$[]$
2075.b1	2075b1	2075.b	2075b	$1$	$1$	\( 5^{2} \cdot 83 \)	\( - 5^{10} \cdot 83 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$166$	$2$	$0$	$1$	$1$		$0$	$660$	$0.396429$	$84375/83$	$1.09689$	$3.59236$	$[1, -1, 1, 195, -928]$	\(y^2+xy+y=x^3-x^2+195x-928\)	166.2.0.?	$[]$
2075.c1	2075d1	2075.c	2075d	$1$	$1$	\( 5^{2} \cdot 83 \)	\( - 5^{4} \cdot 83 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$166$	$2$	$0$	$1$	$1$		$0$	$132$	$-0.408290$	$84375/83$	$1.09689$	$2.32802$	$[1, -1, 0, 8, -9]$	\(y^2+xy=x^3-x^2+8x-9\)	166.2.0.?	$[]$
2075.d1	2075a1	2075.d	2075a	$1$	$1$	\( 5^{2} \cdot 83 \)	\( - 5^{6} \cdot 83 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$166$	$2$	$0$	$1$	$1$		$0$	$256$	$-0.139148$	$103823/83$	$0.77332$	$2.77662$	$[1, 0, 1, 24, -27]$	\(y^2+xy+y=x^3+24x-27\)	166.2.0.?	$[]$