Elliptic curves over $\Q$ of conductor 154075

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
154075.a1	154075a1	154075.a	154075a	$1$	$1$	\( 5^{2} \cdot 6163 \)	\( - 5^{10} \cdot 6163 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$12326$	$2$	$0$	$3.943284141$	$1$		$2$	$164580$	$0.752536$	$2764800/6163$	$0.59393$	$2.67679$	$[0, 0, 1, 625, 10156]$	\(y^2+y=x^3+625x+10156\)	12326.2.0.?	$[(29, 229)]$
154075.b1	154075b1	154075.b	154075b	$1$	$1$	\( 5^{2} \cdot 6163 \)	\( - 5^{16} \cdot 6163 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$12326$	$2$	$0$	$1$	$4$	$2$	$0$	$410880$	$1.553724$	$3902520950784/60185546875$	$0.93366$	$3.50717$	$[0, 0, 1, 8200, -1447469]$	\(y^2+y=x^3+8200x-1447469\)	12326.2.0.?	$[]$
154075.c1	154075c1	154075.c	154075c	$1$	$1$	\( 5^{2} \cdot 6163 \)	\( - 5^{4} \cdot 6163 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$12326$	$2$	$0$	$6.875839697$	$1$		$0$	$32916$	$-0.052184$	$2764800/6163$	$0.59393$	$1.86838$	$[0, 0, 1, 25, 81]$	\(y^2+y=x^3+25x+81\)	12326.2.0.?	$[(-311/12, 6299/12)]$
154075.d1	154075d1	154075.d	154075d	$1$	$1$	\( 5^{2} \cdot 6163 \)	\( - 5^{8} \cdot 6163 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$12326$	$2$	$0$	$1$	$4$	$2$	$0$	$194304$	$0.513047$	$-481890304/154075$	$0.73272$	$2.51898$	$[0, -1, 1, -408, 4093]$	\(y^2+y=x^3-x^2-408x+4093\)	12326.2.0.?	$[]$