Elliptic curve search results

Results (16 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
14440.b1	14440a1	14440.b	14440a	$1$	$1$	\( 2^{3} \cdot 5 \cdot 19^{2} \)	\( 2^{8} \cdot 5^{3} \cdot 19^{4} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$10$	$2$	$0$	$0.238257088$	$1$		$8$	$7776$	$0.548218$	$369664/125$	$1.04461$	$3.14722$	$[0, 1, 0, -481, -2781]$	\(y^2=x^3+x^2-481x-2781\)	10.2.0.a.1	$[(-13, 38)]$
14440.k1	14440f1	14440.k	14440f	$1$	$1$	\( 2^{3} \cdot 5 \cdot 19^{2} \)	\( 2^{8} \cdot 5^{3} \cdot 19^{10} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$10$	$2$	$0$	$11.58296657$	$1$		$0$	$147744$	$2.020435$	$369664/125$	$1.04461$	$4.99177$	$[0, -1, 0, -173761, 18032565]$	\(y^2=x^3-x^2-173761x+18032565\)	10.2.0.a.1	$[(-36389/21, 52225622/21)]$
28880.c1	28880b1	28880.c	28880b	$1$	$1$	\( 2^{4} \cdot 5 \cdot 19^{2} \)	\( 2^{8} \cdot 5^{3} \cdot 19^{10} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$10$	$2$	$0$	$1$	$1$		$0$	$295488$	$2.020435$	$369664/125$	$1.04461$	$4.65489$	$[0, 1, 0, -173761, -18032565]$	\(y^2=x^3+x^2-173761x-18032565\)	10.2.0.a.1	$[]$
28880.z1	28880a1	28880.z	28880a	$1$	$1$	\( 2^{4} \cdot 5 \cdot 19^{2} \)	\( 2^{8} \cdot 5^{3} \cdot 19^{4} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$10$	$2$	$0$	$5.178952461$	$1$		$0$	$15552$	$0.548218$	$369664/125$	$1.04461$	$2.93482$	$[0, -1, 0, -481, 2781]$	\(y^2=x^3-x^2-481x+2781\)	10.2.0.a.1	$[(52/3, 343/3)]$
72200.g1	72200j1	72200.g	72200j	$1$	$1$	\( 2^{3} \cdot 5^{2} \cdot 19^{2} \)	\( 2^{8} \cdot 5^{9} \cdot 19^{10} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$10$	$2$	$0$	$1$	$1$		$0$	$3545856$	$2.825157$	$369664/125$	$1.04461$	$5.13681$	$[0, 1, 0, -4344033, 2245382563]$	\(y^2=x^3+x^2-4344033x+2245382563\)	10.2.0.a.1	$[]$
72200.bd1	72200y1	72200.bd	72200y	$1$	$1$	\( 2^{3} \cdot 5^{2} \cdot 19^{2} \)	\( 2^{8} \cdot 5^{9} \cdot 19^{4} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$10$	$2$	$0$	$1$	$1$		$0$	$186624$	$1.352936$	$369664/125$	$1.04461$	$3.55763$	$[0, -1, 0, -12033, -323563]$	\(y^2=x^3-x^2-12033x-323563\)	10.2.0.a.1	$[]$
115520.n1	115520bd1	115520.n	115520bd	$1$	$1$	\( 2^{6} \cdot 5 \cdot 19^{2} \)	\( 2^{14} \cdot 5^{3} \cdot 19^{10} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$10$	$2$	$0$	$5.593671503$	$1$		$2$	$2363904$	$2.367012$	$369664/125$	$1.04461$	$4.45809$	$[0, 1, 0, -695045, 143565475]$	\(y^2=x^3+x^2-695045x+143565475\)	10.2.0.a.1	$[(150, 6535)]$
115520.o1	115520cm1	115520.o	115520cm	$1$	$1$	\( 2^{6} \cdot 5 \cdot 19^{2} \)	\( 2^{14} \cdot 5^{3} \cdot 19^{4} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$10$	$2$	$0$	$0.709953913$	$1$		$2$	$124416$	$0.894792$	$369664/125$	$1.04461$	$2.94257$	$[0, 1, 0, -1925, 20323]$	\(y^2=x^3+x^2-1925x+20323\)	10.2.0.a.1	$[(6, 95)]$
115520.cs1	115520t1	115520.cs	115520t	$1$	$1$	\( 2^{6} \cdot 5 \cdot 19^{2} \)	\( 2^{14} \cdot 5^{3} \cdot 19^{4} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$10$	$2$	$0$	$1$	$1$		$0$	$124416$	$0.894792$	$369664/125$	$1.04461$	$2.94257$	$[0, -1, 0, -1925, -20323]$	\(y^2=x^3-x^2-1925x-20323\)	10.2.0.a.1	$[]$
115520.ct1	115520cu1	115520.ct	115520cu	$1$	$1$	\( 2^{6} \cdot 5 \cdot 19^{2} \)	\( 2^{14} \cdot 5^{3} \cdot 19^{10} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$10$	$2$	$0$	$1$	$9$	$3$	$0$	$2363904$	$2.367012$	$369664/125$	$1.04461$	$4.45809$	$[0, -1, 0, -695045, -143565475]$	\(y^2=x^3-x^2-695045x-143565475\)	10.2.0.a.1	$[]$
129960.cf1	129960co1	129960.cf	129960co	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 19^{2} \)	\( 2^{8} \cdot 3^{6} \cdot 5^{3} \cdot 19^{4} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$10$	$2$	$0$	$0.487186383$	$1$		$12$	$186624$	$1.097525$	$369664/125$	$1.04461$	$3.11975$	$[0, 0, 0, -4332, 70756]$	\(y^2=x^3-4332x+70756\)	10.2.0.a.1	$[(152, 1710), (0, 266)]$
129960.cg1	129960bj1	129960.cg	129960bj	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 19^{2} \)	\( 2^{8} \cdot 3^{6} \cdot 5^{3} \cdot 19^{10} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$10$	$2$	$0$	$1$	$1$		$0$	$3545856$	$2.569744$	$369664/125$	$1.04461$	$4.62010$	$[0, 0, 0, -1563852, -485315404]$	\(y^2=x^3-1563852x-485315404\)	10.2.0.a.1	$[]$
144400.i1	144400bz1	144400.i	144400bz	$1$	$1$	\( 2^{4} \cdot 5^{2} \cdot 19^{2} \)	\( 2^{8} \cdot 5^{9} \cdot 19^{4} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$10$	$2$	$0$	$3.464041614$	$1$		$2$	$373248$	$1.352936$	$369664/125$	$1.04461$	$3.35006$	$[0, 1, 0, -12033, 323563]$	\(y^2=x^3+x^2-12033x+323563\)	10.2.0.a.1	$[(-82, 875)]$
144400.cq1	144400cw1	144400.cq	144400cw	$1$	$1$	\( 2^{4} \cdot 5^{2} \cdot 19^{2} \)	\( 2^{8} \cdot 5^{9} \cdot 19^{10} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$10$	$2$	$0$	$1$	$1$		$0$	$7091712$	$2.825157$	$369664/125$	$1.04461$	$4.83711$	$[0, -1, 0, -4344033, -2245382563]$	\(y^2=x^3-x^2-4344033x-2245382563\)	10.2.0.a.1	$[]$
259920.fi1	259920fi1	259920.fi	259920fi	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 19^{2} \)	\( 2^{8} \cdot 3^{6} \cdot 5^{3} \cdot 19^{4} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$10$	$2$	$0$	$2.508523012$	$1$		$2$	$373248$	$1.097525$	$369664/125$	$1.04461$	$2.94631$	$[0, 0, 0, -4332, -70756]$	\(y^2=x^3-4332x-70756\)	10.2.0.a.1	$[(73, 45)]$
259920.fj1	259920fj1	259920.fj	259920fj	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 19^{2} \)	\( 2^{8} \cdot 3^{6} \cdot 5^{3} \cdot 19^{10} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$10$	$2$	$0$	$1$	$4$	$2$	$0$	$7091712$	$2.569744$	$369664/125$	$1.04461$	$4.36325$	$[0, 0, 0, -1563852, 485315404]$	\(y^2=x^3-1563852x+485315404\)	10.2.0.a.1	$[]$