Elliptic curve search results

Results (10 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
44200.g1	44200q1	44200.g	44200q	$1$	$1$	\( 2^{3} \cdot 5^{2} \cdot 13 \cdot 17 \)	\( 2^{8} \cdot 5^{4} \cdot 13 \cdot 17^{4} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$26$	$2$	$0$	$0.384467378$	$1$		$12$	$30720$	$0.848049$	$2035379200/1085773$	$0.86705$	$3.12410$	$[0, -1, 0, -1433, -5363]$	\(y^2=x^3-x^2-1433x-5363\)	26.2.0.a.1	$[(47, 170), (-257/3, 2890/3)]$
44200.m1	44200f1	44200.m	44200f	$1$	$1$	\( 2^{3} \cdot 5^{2} \cdot 13 \cdot 17 \)	\( 2^{8} \cdot 5^{10} \cdot 13 \cdot 17^{4} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$26$	$2$	$0$	$1$	$1$		$0$	$153600$	$1.652769$	$2035379200/1085773$	$0.86705$	$4.02689$	$[0, 1, 0, -35833, -742037]$	\(y^2=x^3+x^2-35833x-742037\)	26.2.0.a.1	$[]$
88400.u1	88400j1	88400.u	88400j	$1$	$1$	\( 2^{4} \cdot 5^{2} \cdot 13 \cdot 17 \)	\( 2^{8} \cdot 5^{10} \cdot 13 \cdot 17^{4} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$26$	$2$	$0$	$1$	$1$		$0$	$307200$	$1.652769$	$2035379200/1085773$	$0.86705$	$3.78182$	$[0, -1, 0, -35833, 742037]$	\(y^2=x^3-x^2-35833x+742037\)	26.2.0.a.1	$[]$
88400.bk1	88400p1	88400.bk	88400p	$1$	$1$	\( 2^{4} \cdot 5^{2} \cdot 13 \cdot 17 \)	\( 2^{8} \cdot 5^{4} \cdot 13 \cdot 17^{4} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$26$	$2$	$0$	$0.744879560$	$1$		$2$	$61440$	$0.848049$	$2035379200/1085773$	$0.86705$	$2.93397$	$[0, 1, 0, -1433, 5363]$	\(y^2=x^3+x^2-1433x+5363\)	26.2.0.a.1	$[(38, 85)]$
353600.bw1	353600bw1	353600.bw	353600bw	$1$	$1$	\( 2^{6} \cdot 5^{2} \cdot 13 \cdot 17 \)	\( 2^{14} \cdot 5^{10} \cdot 13 \cdot 17^{4} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$26$	$2$	$0$	$9.330490978$	$1$		$0$	$2457600$	$1.999342$	$2035379200/1085773$	$0.86705$	$3.69698$	$[0, -1, 0, -143333, -5792963]$	\(y^2=x^3-x^2-143333x-5792963\)	26.2.0.a.1	$[(-6316/5, 471527/5)]$
353600.cb1	353600cb1	353600.cb	353600cb	$1$	$1$	\( 2^{6} \cdot 5^{2} \cdot 13 \cdot 17 \)	\( 2^{14} \cdot 5^{4} \cdot 13 \cdot 17^{4} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$26$	$2$	$0$	$3.288830510$	$1$		$2$	$491520$	$1.194624$	$2035379200/1085773$	$0.86705$	$2.94114$	$[0, -1, 0, -5733, 48637]$	\(y^2=x^3-x^2-5733x+48637\)	26.2.0.a.1	$[(196, 2533)]$
353600.eb1	353600eb1	353600.eb	353600eb	$1$	$1$	\( 2^{6} \cdot 5^{2} \cdot 13 \cdot 17 \)	\( 2^{14} \cdot 5^{4} \cdot 13 \cdot 17^{4} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$26$	$2$	$0$	$7.129685211$	$1$		$2$	$491520$	$1.194624$	$2035379200/1085773$	$0.86705$	$2.94114$	$[0, 1, 0, -5733, -48637]$	\(y^2=x^3+x^2-5733x-48637\)	26.2.0.a.1	$[(-26, 289), (718/3, 2431/3)]$
353600.ee1	353600ee1	353600.ee	353600ee	$1$	$1$	\( 2^{6} \cdot 5^{2} \cdot 13 \cdot 17 \)	\( 2^{14} \cdot 5^{10} \cdot 13 \cdot 17^{4} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$26$	$2$	$0$	$1$	$1$		$0$	$2457600$	$1.999342$	$2035379200/1085773$	$0.86705$	$3.69698$	$[0, 1, 0, -143333, 5792963]$	\(y^2=x^3+x^2-143333x+5792963\)	26.2.0.a.1	$[]$
397800.ba1	397800ba1	397800.ba	397800ba	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \)	\( 2^{8} \cdot 3^{6} \cdot 5^{4} \cdot 13 \cdot 17^{4} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$26$	$2$	$0$	$1.417687245$	$1$		$4$	$921600$	$1.397356$	$2035379200/1085773$	$0.86705$	$3.10295$	$[0, 0, 0, -12900, 157700]$	\(y^2=x^3-12900x+157700\)	26.2.0.a.1	$[(-106, 578)]$
397800.da1	397800da1	397800.da	397800da	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \)	\( 2^{8} \cdot 3^{6} \cdot 5^{10} \cdot 13 \cdot 17^{4} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$26$	$2$	$0$	$4.833107770$	$1$		$2$	$4608000$	$2.202076$	$2035379200/1085773$	$0.86705$	$3.85189$	$[0, 0, 0, -322500, 19712500]$	\(y^2=x^3-322500x+19712500\)	26.2.0.a.1	$[(1884, 78098)]$