Elliptic curves over $\Q$ of conductor 12279

Results (6 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
12279.a1	12279a1	12279.a	12279a	$1$	$1$	\( 3 \cdot 4093 \)	\( 3^{2} \cdot 4093 \)	$3$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$8186$	$2$	$0$	$0.430420237$	$1$		$36$	$4320$	$-0.418653$	$122023936/36837$	$0.70871$	$1.97753$	$[0, -1, 1, -10, 12]$	\(y^2+y=x^3-x^2-10x+12\)	8186.2.0.?	$[(1, 1), (4, 4), (-2, 4)]$
12279.b1	12279e1	12279.b	12279e	$1$	$1$	\( 3 \cdot 4093 \)	\( - 3^{5} \cdot 4093 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$24558$	$2$	$0$	$0.323796713$	$1$		$14$	$2080$	$-0.097584$	$-14688124849/994599$	$0.79268$	$2.49807$	$[1, 0, 0, -51, 144]$	\(y^2+xy=x^3-51x+144\)	24558.2.0.?	$[(3, 3), (12, 30)]$
12279.c1	12279b1	12279.c	12279b	$1$	$1$	\( 3 \cdot 4093 \)	\( 3^{6} \cdot 4093 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$8186$	$2$	$0$	$0.878258750$	$1$		$10$	$3552$	$0.170736$	$3601276567552/2983797$	$0.86380$	$3.07067$	$[0, -1, 1, -319, 2301]$	\(y^2+y=x^3-x^2-319x+2301\)	8186.2.0.?	$[(13, 13), (67, 526)]$
12279.d1	12279d1	12279.d	12279d	$1$	$1$	\( 3 \cdot 4093 \)	\( 3^{18} \cdot 4093 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$8186$	$2$	$0$	$0.674347576$	$1$		$12$	$29088$	$1.202785$	$445831683755769856/1585712061477$	$0.94935$	$4.31608$	$[0, 1, 1, -15915, -775735]$	\(y^2+y=x^3+x^2-15915x-775735\)	8186.2.0.?	$[(-75, 40), (-291/2, 383/2)]$
12279.e1	12279c1	12279.e	12279c	$1$	$1$	\( 3 \cdot 4093 \)	\( 3^{6} \cdot 4093 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$8186$	$2$	$0$	$0.486479580$	$1$		$12$	$5280$	$0.595720$	$8271821799424000/2983797$	$1.00491$	$3.89263$	$[0, 1, 1, -4213, 103861]$	\(y^2+y=x^3+x^2-4213x+103861\)	8186.2.0.?	$[(35, 22), (149/2, 5/2)]$
12279.f1	12279f1	12279.f	12279f	$1$	$1$	\( 3 \cdot 4093 \)	\( 3^{8} \cdot 4093 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$8186$	$2$	$0$	$0.265463563$	$1$		$4$	$2688$	$0.278953$	$6229504000000/26854173$	$0.92003$	$3.12887$	$[0, 1, 1, -383, 2750]$	\(y^2+y=x^3+x^2-383x+2750\)	8186.2.0.?	$[(10, 4)]$