Elliptic curves over $\Q$ of conductor 446

Results (5 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
446.a1	446d1	446.a	446d	$1$	$1$	\( 2 \cdot 223 \)	\( 2^{2} \cdot 223 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$892$	$2$	$0$	$0.097343097$	$1$		$24$	$88$	$-0.700399$	$8120601/892$	$0.79048$	$2.60805$	$[1, -1, 0, -4, 4]$	\(y^2+xy=x^3-x^2-4x+4\)	892.2.0.?	$[(2, 0), (1, 0)]$
446.b1	446a1	446.b	446a	$1$	$1$	\( 2 \cdot 223 \)	\( 2^{6} \cdot 223 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$892$	$2$	$0$	$0.160280840$	$1$		$10$	$24$	$-0.351584$	$3144219625/14272$	$0.86033$	$3.58487$	$[1, 1, 0, -30, 52]$	\(y^2+xy=x^3+x^2-30x+52\)	892.2.0.?	$[(4, 2)]$
446.c1	446b1	446.c	446b	$1$	$1$	\( 2 \cdot 223 \)	\( 2^{14} \cdot 223 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$892$	$2$	$0$	$0.071318394$	$1$		$10$	$56$	$-0.050358$	$6570725617/3653632$	$0.92583$	$3.70569$	$[1, 1, 1, -39, -35]$	\(y^2+xy+y=x^3+x^2-39x-35\)	892.2.0.?	$[(-5, 10)]$
446.d1	446c2	446.d	446c	$2$	$2$	\( 2 \cdot 223 \)	\( 2^{3} \cdot 223^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.6.0.6	2B	$1784$	$12$	$0$	$1$	$1$		$0$	$72$	$-0.175719$	$6078390625/397832$	$0.92697$	$3.69292$	$[1, 1, 1, -38, -101]$	\(y^2+xy+y=x^3+x^2-38x-101\)	2.3.0.a.1, 8.6.0.b.1, 892.6.0.?, 1784.12.0.?	$[]$
446.d2	446c1	446.d	446c	$2$	$2$	\( 2 \cdot 223 \)	\( - 2^{6} \cdot 223 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.6.0.1	2B	$1784$	$12$	$0$	$1$	$1$		$1$	$36$	$-0.522293$	$857375/14272$	$0.84072$	$2.78434$	$[1, 1, 1, 2, -5]$	\(y^2+xy+y=x^3+x^2+2x-5\)	2.3.0.a.1, 8.6.0.c.1, 446.6.0.?, 1784.12.0.?	$[]$