Elliptic curves over $\Q$ of conductor 21858

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
21858.a1	21858a1	21858.a	21858a	$1$	$1$	\( 2 \cdot 3 \cdot 3643 \)	\( - 2^{2} \cdot 3^{2} \cdot 3643 \)	$3$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$7286$	$2$	$0$	$0.360627681$	$1$		$44$	$9984$	$-0.244728$	$-3803721481/131148$	$0.77866$	$2.21341$	$[1, 1, 0, -32, 60]$	\(y^2+xy=x^3+x^2-32x+60\)	7286.2.0.?	$[(2, 2), (4, 2), (3, 0)]$
21858.b1	21858b1	21858.b	21858b	$1$	$1$	\( 2 \cdot 3 \cdot 3643 \)	\( 2 \cdot 3^{3} \cdot 3643 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$87432$	$2$	$0$	$0.548671493$	$1$		$4$	$2952$	$-0.264916$	$1102302937/196722$	$0.76663$	$2.08367$	$[1, 0, 1, -22, -34]$	\(y^2+xy+y=x^3-22x-34\)	87432.2.0.?	$[(-2, 2)]$
21858.c1	21858c1	21858.c	21858c	$1$	$1$	\( 2 \cdot 3 \cdot 3643 \)	\( 2^{7} \cdot 3 \cdot 3643 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$87432$	$2$	$0$	$1$	$1$		$0$	$972664$	$2.370216$	$1830653729501129652673111537/1398912$	$1.00755$	$6.28227$	$[1, 1, 1, -25485559, 49510375757]$	\(y^2+xy+y=x^3+x^2-25485559x+49510375757\)	87432.2.0.?	$[]$
21858.d1	21858d1	21858.d	21858d	$1$	$1$	\( 2 \cdot 3 \cdot 3643 \)	\( 2^{11} \cdot 3^{7} \cdot 3643 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$87432$	$2$	$0$	$0.142027121$	$1$		$8$	$16632$	$0.662354$	$49128431640625/16316909568$	$0.96650$	$3.15497$	$[1, 0, 0, -763, -5359]$	\(y^2+xy=x^3-763x-5359\)	87432.2.0.?	$[(-10, 41)]$