Elliptic curve search results

Results (11 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
4102.d1	4102c1	4102.d	4102c	$1$	$1$	\( 2 \cdot 7 \cdot 293 \)	\( - 2 \cdot 7^{4} \cdot 293 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$2344$	$2$	$0$	$1$	$1$		$0$	$672$	$-0.105863$	$-4750104241/1406986$	$0.92712$	$2.72799$	$[1, 0, 0, -35, -101]$	\(y^2+xy=x^3-35x-101\)	2344.2.0.?	$[]$
28714.h1	28714h1	28714.h	28714h	$1$	$1$	\( 2 \cdot 7^{2} \cdot 293 \)	\( - 2 \cdot 7^{10} \cdot 293 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2344$	$2$	$0$	$1$	$1$		$0$	$32256$	$0.867092$	$-4750104241/1406986$	$0.92712$	$3.34825$	$[1, 1, 1, -1716, 32927]$	\(y^2+xy+y=x^3+x^2-1716x+32927\)	2344.2.0.?	$[]$
32816.m1	32816o1	32816.m	32816o	$1$	$1$	\( 2^{4} \cdot 7 \cdot 293 \)	\( - 2^{13} \cdot 7^{4} \cdot 293 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2344$	$2$	$0$	$0.926801204$	$1$		$2$	$16128$	$0.587284$	$-4750104241/1406986$	$0.92712$	$2.98235$	$[0, -1, 0, -560, 6464]$	\(y^2=x^3-x^2-560x+6464\)	2344.2.0.?	$[(10, 42)]$
36918.c1	36918e1	36918.c	36918e	$1$	$1$	\( 2 \cdot 3^{2} \cdot 7 \cdot 293 \)	\( - 2 \cdot 3^{6} \cdot 7^{4} \cdot 293 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2344$	$2$	$0$	$0.705787288$	$1$		$4$	$16128$	$0.443443$	$-4750104241/1406986$	$0.92712$	$2.78482$	$[1, -1, 0, -315, 2727]$	\(y^2+xy=x^3-x^2-315x+2727\)	2344.2.0.?	$[(39, 201)]$
102550.p1	102550k1	102550.p	102550k	$1$	$1$	\( 2 \cdot 5^{2} \cdot 7 \cdot 293 \)	\( - 2 \cdot 5^{6} \cdot 7^{4} \cdot 293 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2344$	$2$	$0$	$3.898778333$	$1$		$0$	$94080$	$0.698856$	$-4750104241/1406986$	$0.92712$	$2.80387$	$[1, 1, 0, -875, -12625]$	\(y^2+xy=x^3+x^2-875x-12625\)	2344.2.0.?	$[(139/2, 29/2)]$
131264.e1	131264e1	131264.e	131264e	$1$	$1$	\( 2^{6} \cdot 7 \cdot 293 \)	\( - 2^{19} \cdot 7^{4} \cdot 293 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2344$	$2$	$0$	$0.528073478$	$1$		$14$	$129024$	$0.933858$	$-4750104241/1406986$	$0.92712$	$2.98443$	$[0, 1, 0, -2241, 49471]$	\(y^2=x^3+x^2-2241x+49471\)	2344.2.0.?	$[(47, 224), (33, 112)]$
131264.be1	131264bf1	131264.be	131264bf	$1$	$1$	\( 2^{6} \cdot 7 \cdot 293 \)	\( - 2^{19} \cdot 7^{4} \cdot 293 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2344$	$2$	$0$	$1$	$1$		$0$	$129024$	$0.933858$	$-4750104241/1406986$	$0.92712$	$2.98443$	$[0, -1, 0, -2241, -49471]$	\(y^2=x^3-x^2-2241x-49471\)	2344.2.0.?	$[]$
229712.g1	229712d1	229712.g	229712d	$1$	$1$	\( 2^{4} \cdot 7^{2} \cdot 293 \)	\( - 2^{13} \cdot 7^{10} \cdot 293 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2344$	$2$	$0$	$6.206305614$	$1$		$6$	$774144$	$1.560240$	$-4750104241/1406986$	$0.92712$	$3.45803$	$[0, 1, 0, -27456, -2162252]$	\(y^2=x^3+x^2-27456x-2162252\)	2344.2.0.?	$[(324, 4802), (1164, 39298)]$
258426.s1	258426s1	258426.s	258426s	$1$	$1$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 293 \)	\( - 2 \cdot 3^{6} \cdot 7^{10} \cdot 293 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2344$	$2$	$0$	$2.750629481$	$1$		$0$	$774144$	$1.416399$	$-4750104241/1406986$	$0.92712$	$3.28685$	$[1, -1, 0, -15444, -904478]$	\(y^2+xy=x^3-x^2-15444x-904478\)	2344.2.0.?	$[(2003/2, 84433/2)]$
295344.o1	295344o1	295344.o	295344o	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 293 \)	\( - 2^{13} \cdot 3^{6} \cdot 7^{4} \cdot 293 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2344$	$2$	$0$	$0.823745614$	$1$		$4$	$387072$	$1.136591$	$-4750104241/1406986$	$0.92712$	$2.98543$	$[0, 0, 0, -5043, -169486]$	\(y^2=x^3-5043x-169486\)	2344.2.0.?	$[(97, 504)]$
496342.c1	496342c1	496342.c	496342c	$1$	$1$	\( 2 \cdot 7 \cdot 11^{2} \cdot 293 \)	\( - 2 \cdot 7^{4} \cdot 11^{6} \cdot 293 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2344$	$2$	$0$	$1.493583294$	$1$		$8$	$940800$	$1.093084$	$-4750104241/1406986$	$0.92712$	$2.82745$	$[1, 0, 1, -4238, 130194]$	\(y^2+xy+y=x^3-4238x+130194\)	2344.2.0.?	$[(-12, 429), (58, 254)]$