Elliptic curves over $\Q$ of conductor 2277

Results (8 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
2277.a1	2277a2	2277.a	2277a	$2$	$2$	\( 3^{2} \cdot 11 \cdot 23 \)	\( 3^{11} \cdot 11^{4} \cdot 23^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$276$	$12$	$0$	$1$	$1$		$0$	$2560$	$1.151793$	$209849322390625/1882056627$	$0.99362$	$5.11849$	$[1, -1, 0, -11142, 451957]$	\(y^2+xy=x^3-x^2-11142x+451957\)	2.3.0.a.1, 12.6.0.a.1, 92.6.0.?, 276.12.0.?	$[]$
2277.a2	2277a1	2277.a	2277a	$2$	$2$	\( 3^{2} \cdot 11 \cdot 23 \)	\( - 3^{16} \cdot 11^{2} \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$276$	$12$	$0$	$1$	$1$		$1$	$1280$	$0.805219$	$-1349232625/164333367$	$0.95842$	$4.26467$	$[1, -1, 0, -207, 16744]$	\(y^2+xy=x^3-x^2-207x+16744\)	2.3.0.a.1, 12.6.0.b.1, 46.6.0.a.1, 276.12.0.?	$[]$
2277.b1	2277b5	2277.b	2277b	$6$	$8$	\( 3^{2} \cdot 11 \cdot 23 \)	\( 3^{7} \cdot 11 \cdot 23^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.24.0.9	2B	$12144$	$192$	$1$	$4.456818892$	$1$		$0$	$8192$	$1.664413$	$89254274298475942657/17457$	$1.00726$	$6.79502$	$[1, -1, 0, -837936, 295442235]$	\(y^2+xy=x^3-x^2-837936x+295442235\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0-4.c.1.1, 16.24.0-8.n.1.4, $\ldots$	$[(3015/2, 73575/2)]$
2277.b2	2277b4	2277.b	2277b	$6$	$8$	\( 3^{2} \cdot 11 \cdot 23 \)	\( 3^{8} \cdot 11^{2} \cdot 23^{4} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.11	2Cs	$6072$	$192$	$1$	$2.228409446$	$1$		$4$	$4096$	$1.317841$	$21790813729717297/304746849$	$0.97272$	$5.71907$	$[1, -1, 0, -52371, 4626072]$	\(y^2+xy=x^3-x^2-52371x+4626072\)	2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.8, 12.24.0-4.b.1.1, 24.48.0-24.h.1.6, $\ldots$	$[(564, 12138)]$
2277.b3	2277b6	2277.b	2277b	$6$	$8$	\( 3^{2} \cdot 11 \cdot 23 \)	\( - 3^{7} \cdot 11 \cdot 23^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.94	2B	$12144$	$192$	$1$	$1.114204723$	$1$		$2$	$8192$	$1.664413$	$-19989223566735457/2584262514273$	$0.97497$	$5.73399$	$[1, -1, 0, -50886, 4899609]$	\(y^2+xy=x^3-x^2-50886x+4899609\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.3, 12.12.0-4.c.1.1, 24.48.0-24.by.1.15, $\ldots$	$[(168, 951)]$
2277.b4	2277b3	2277.b	2277b	$6$	$8$	\( 3^{2} \cdot 11 \cdot 23 \)	\( 3^{8} \cdot 11^{8} \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.93	2B	$12144$	$192$	$1$	$8.913637785$	$1$		$0$	$4096$	$1.317841$	$309368403125137/44372288367$	$0.95365$	$5.16870$	$[1, -1, 0, -12681, -473526]$	\(y^2+xy=x^3-x^2-12681x-473526\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.5, 12.12.0-4.c.1.2, 24.48.0-24.by.2.7, $\ldots$	$[(16011/10, 1177461/10)]$
2277.b5	2277b2	2277.b	2277b	$6$	$8$	\( 3^{2} \cdot 11 \cdot 23 \)	\( 3^{10} \cdot 11^{4} \cdot 23^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.14	2Cs	$6072$	$192$	$1$	$4.456818892$	$1$		$2$	$2048$	$0.971267$	$5786435182177/627352209$	$0.98731$	$4.65399$	$[1, -1, 0, -3366, 68607]$	\(y^2+xy=x^3-x^2-3366x+68607\)	2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.10, 12.24.0-4.b.1.3, 24.48.0-24.h.2.6, $\ldots$	$[(243/2, 2097/2)]$
2277.b6	2277b1	2277.b	2277b	$6$	$8$	\( 3^{2} \cdot 11 \cdot 23 \)	\( - 3^{14} \cdot 11^{2} \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.24.0.8	2B	$12144$	$192$	$1$	$2.228409446$	$1$		$3$	$1024$	$0.624693$	$3288008303/18259263$	$0.97810$	$3.96560$	$[1, -1, 0, 279, 5184]$	\(y^2+xy=x^3-x^2+279x+5184\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0-4.c.1.2, 16.24.0-8.n.1.2, $\ldots$	$[(0, 72)]$