Elliptic curves over $\Q$ of conductor 1334

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
1334.a1	1334b2	1334.a	1334b	$2$	$2$	\( 2 \cdot 23 \cdot 29 \)	\( 2 \cdot 23^{6} \cdot 29^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.6.0.6	2B	$184$	$12$	$0$	$1$	$1$		$0$	$1920$	$1.050488$	$73257631680515625/248996365298$	$1.02565$	$5.39648$	$[1, -1, 0, -8717, -310165]$	\(y^2+xy=x^3-x^2-8717x-310165\)	2.3.0.a.1, 8.6.0.b.1, 92.6.0.?, 184.12.0.?	$[]$
1334.a2	1334b1	1334.a	1334b	$2$	$2$	\( 2 \cdot 23 \cdot 29 \)	\( - 2^{2} \cdot 23^{3} \cdot 29^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.6.0.1	2B	$184$	$12$	$0$	$1$	$1$		$1$	$960$	$0.703915$	$-3205784543625/34421951708$	$1.00667$	$4.41488$	$[1, -1, 0, -307, -9087]$	\(y^2+xy=x^3-x^2-307x-9087\)	2.3.0.a.1, 8.6.0.c.1, 46.6.0.a.1, 184.12.0.?	$[]$
1334.b1	1334c2	1334.b	1334c	$2$	$3$	\( 2 \cdot 23 \cdot 29 \)	\( - 2^{24} \cdot 23^{2} \cdot 29^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓		$3$	3.8.0.2	3B.1.2	$348$	$16$	$0$	$1$	$1$		$0$	$9984$	$1.547621$	$-12188230526616079753/216455966621696$	$0.97875$	$6.11140$	$[1, 0, 1, -47945, -4106228]$	\(y^2+xy+y=x^3-47945x-4106228\)	3.8.0-3.a.1.1, 116.2.0.?, 348.16.0.?	$[]$
1334.b2	1334c1	1334.b	1334c	$2$	$3$	\( 2 \cdot 23 \cdot 29 \)	\( - 2^{8} \cdot 23^{6} \cdot 29 \)	$0$	$\Z/3\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$3$	3.8.0.1	3B.1.1	$348$	$16$	$0$	$1$	$1$		$2$	$3328$	$0.998314$	$1364048721284327/1099018439936$	$0.95423$	$4.84290$	$[1, 0, 1, 2310, -26580]$	\(y^2+xy+y=x^3+2310x-26580\)	3.8.0-3.a.1.2, 116.2.0.?, 348.16.0.?	$[]$
1334.c1	1334a1	1334.c	1334a	$1$	$1$	\( 2 \cdot 23 \cdot 29 \)	\( - 2^{4} \cdot 23^{2} \cdot 29 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$116$	$2$	$0$	$0.457334873$	$1$		$4$	$128$	$-0.281524$	$-47045881/245456$	$1.03591$	$2.77529$	$[1, 0, 1, -8, -26]$	\(y^2+xy+y=x^3-8x-26\)	116.2.0.?	$[(13, 39)]$