Elliptic curve search results

Results (12 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
22440.h1	22440f1	22440.h	22440f	$1$	$1$	\( 2^{3} \cdot 3 \cdot 5 \cdot 11 \cdot 17 \)	\( - 2^{8} \cdot 3^{2} \cdot 5^{4} \cdot 11 \cdot 17 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$374$	$2$	$0$	$0.131141834$	$1$		$28$	$12800$	$0.300198$	$-120472576/1051875$	$0.89760$	$2.68802$	$[0, -1, 0, -65, 837]$	\(y^2=x^3-x^2-65x+837\)	374.2.0.?	$[(-1, 30), (29, 150)]$
44880.da1	44880x1	44880.da	44880x	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 17 \)	\( - 2^{8} \cdot 3^{2} \cdot 5^{4} \cdot 11 \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$374$	$2$	$0$	$1$	$1$		$0$	$25600$	$0.300198$	$-120472576/1051875$	$0.89760$	$2.51408$	$[0, 1, 0, -65, -837]$	\(y^2=x^3+x^2-65x-837\)	374.2.0.?	$[]$
67320.a1	67320bj1	67320.a	67320bj	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \)	\( - 2^{8} \cdot 3^{8} \cdot 5^{4} \cdot 11 \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$374$	$2$	$0$	$1.029059732$	$1$		$4$	$102400$	$0.849504$	$-120472576/1051875$	$0.89760$	$3.01531$	$[0, 0, 0, -588, -22012]$	\(y^2=x^3-588x-22012\)	374.2.0.?	$[(64, 450)]$
112200.ct1	112200ci1	112200.ct	112200ci	$1$	$1$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \)	\( - 2^{8} \cdot 3^{2} \cdot 5^{10} \cdot 11 \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$374$	$2$	$0$	$1$	$1$		$0$	$307200$	$1.104918$	$-120472576/1051875$	$0.89760$	$3.14643$	$[0, 1, 0, -1633, 101363]$	\(y^2=x^3+x^2-1633x+101363\)	374.2.0.?	$[]$
134640.cs1	134640fh1	134640.cs	134640fh	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \)	\( - 2^{8} \cdot 3^{8} \cdot 5^{4} \cdot 11 \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$374$	$2$	$0$	$2.466265045$	$1$		$2$	$204800$	$0.849504$	$-120472576/1051875$	$0.89760$	$2.83834$	$[0, 0, 0, -588, 22012]$	\(y^2=x^3-588x+22012\)	374.2.0.?	$[(161, 2025)]$
179520.bz1	179520ei1	179520.bz	179520ei	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 17 \)	\( - 2^{14} \cdot 3^{2} \cdot 5^{4} \cdot 11 \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$374$	$2$	$0$	$1$	$1$		$0$	$204800$	$0.646771$	$-120472576/1051875$	$0.89760$	$2.56976$	$[0, -1, 0, -261, -6435]$	\(y^2=x^3-x^2-261x-6435\)	374.2.0.?	$[]$
179520.eg1	179520fp1	179520.eg	179520fp	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 17 \)	\( - 2^{14} \cdot 3^{2} \cdot 5^{4} \cdot 11 \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$374$	$2$	$0$	$1.395462714$	$1$		$2$	$204800$	$0.646771$	$-120472576/1051875$	$0.89760$	$2.56976$	$[0, 1, 0, -261, 6435]$	\(y^2=x^3+x^2-261x+6435\)	374.2.0.?	$[(-18, 75)]$
224400.g1	224400hp1	224400.g	224400hp	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \)	\( - 2^{8} \cdot 3^{2} \cdot 5^{10} \cdot 11 \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$374$	$2$	$0$	$4.066628243$	$1$		$0$	$614400$	$1.104918$	$-120472576/1051875$	$0.89760$	$2.96942$	$[0, -1, 0, -1633, -101363]$	\(y^2=x^3-x^2-1633x-101363\)	374.2.0.?	$[(373/2, 5925/2)]$
246840.bo1	246840bo1	246840.bo	246840bo	$1$	$1$	\( 2^{3} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 \)	\( - 2^{8} \cdot 3^{2} \cdot 5^{4} \cdot 11^{7} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$374$	$2$	$0$	$1.381566211$	$1$		$2$	$1536000$	$1.499146$	$-120472576/1051875$	$0.89760$	$3.32763$	$[0, -1, 0, -7905, -1082475]$	\(y^2=x^3-x^2-7905x-1082475\)	374.2.0.?	$[(180, 1815)]$
336600.ek1	336600ek1	336600.ek	336600ek	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 17 \)	\( - 2^{8} \cdot 3^{8} \cdot 5^{10} \cdot 11 \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$374$	$2$	$0$	$3.265626271$	$1$		$2$	$2457600$	$1.654222$	$-120472576/1051875$	$0.89760$	$3.39276$	$[0, 0, 0, -14700, -2751500]$	\(y^2=x^3-14700x-2751500\)	374.2.0.?	$[(210, 1850)]$
381480.cd1	381480cd1	381480.cd	381480cd	$1$	$1$	\( 2^{3} \cdot 3 \cdot 5 \cdot 11 \cdot 17^{2} \)	\( - 2^{8} \cdot 3^{2} \cdot 5^{4} \cdot 11 \cdot 17^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$374$	$2$	$0$	$0.544457494$	$1$		$4$	$3686400$	$1.716805$	$-120472576/1051875$	$0.89760$	$3.41815$	$[0, 1, 0, -18881, 3999075]$	\(y^2=x^3+x^2-18881x+3999075\)	374.2.0.?	$[(79, 1734)]$
493680.fw1	493680fw1	493680.fw	493680fw	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 \)	\( - 2^{8} \cdot 3^{2} \cdot 5^{4} \cdot 11^{7} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$374$	$2$	$0$	$0.628170225$	$1$		$2$	$3072000$	$1.499146$	$-120472576/1051875$	$0.89760$	$3.15169$	$[0, 1, 0, -7905, 1082475]$	\(y^2=x^3+x^2-7905x+1082475\)	374.2.0.?	$[(150, 1815)]$