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
28050.a1	28050l1	28050.a	28050l	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \)	\( - 2^{2} \cdot 3^{2} \cdot 5^{10} \cdot 11 \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$374$	$2$	$0$	$1$	$1$		$0$	$58560$	$0.973619$	$-4227809425/6732$	$0.85157$	$3.73589$	$[1, 1, 0, -7200, -238500]$	\(y^2+xy=x^3+x^2-7200x-238500\)	374.2.0.?	$[]$
28050.dt1	28050dt1	28050.dt	28050dt	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \)	\( - 2^{2} \cdot 3^{2} \cdot 5^{4} \cdot 11 \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$374$	$2$	$0$	$1$	$1$		$0$	$11712$	$0.168901$	$-4227809425/6732$	$0.85157$	$2.79303$	$[1, 0, 0, -288, -1908]$	\(y^2+xy=x^3-288x-1908\)	374.2.0.?	$[]$
84150.dr1	84150db1	84150.dr	84150db	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 17 \)	\( - 2^{2} \cdot 3^{8} \cdot 5^{4} \cdot 11 \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$374$	$2$	$0$	$1.095585228$	$1$		$4$	$93696$	$0.718207$	$-4227809425/6732$	$0.85157$	$3.10371$	$[1, -1, 0, -2592, 51516]$	\(y^2+xy=x^3-x^2-2592x+51516\)	374.2.0.?	$[(30, -6)]$
84150.ds1	84150fk1	84150.ds	84150fk	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 17 \)	\( - 2^{2} \cdot 3^{8} \cdot 5^{10} \cdot 11 \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$374$	$2$	$0$	$1$	$1$		$0$	$468480$	$1.522926$	$-4227809425/6732$	$0.85157$	$3.95523$	$[1, -1, 1, -64805, 6374697]$	\(y^2+xy+y=x^3-x^2-64805x+6374697\)	374.2.0.?	$[]$
224400.a1	224400dc1	224400.a	224400dc	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \)	\( - 2^{14} \cdot 3^{2} \cdot 5^{4} \cdot 11 \cdot 17 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$374$	$2$	$0$	$0.318811497$	$1$		$22$	$281088$	$0.862048$	$-4227809425/6732$	$0.85157$	$2.99673$	$[0, -1, 0, -4608, 122112]$	\(y^2=x^3-x^2-4608x+122112\)	374.2.0.?	$[(32, 80), (42, 30)]$
224400.is1	224400da1	224400.is	224400da	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \)	\( - 2^{14} \cdot 3^{2} \cdot 5^{10} \cdot 11 \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$374$	$2$	$0$	$2.745749246$	$1$		$2$	$1405440$	$1.666767$	$-4227809425/6732$	$0.85157$	$3.78047$	$[0, 1, 0, -115208, 15033588]$	\(y^2=x^3+x^2-115208x+15033588\)	374.2.0.?	$[(142, 1248)]$
308550.cx1	308550cx1	308550.cx	308550cx	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11^{2} \cdot 17 \)	\( - 2^{2} \cdot 3^{2} \cdot 5^{4} \cdot 11^{7} \cdot 17 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$374$	$2$	$0$	$0.314956451$	$1$		$18$	$1405440$	$1.367849$	$-4227809425/6732$	$0.85157$	$3.40143$	$[1, 0, 1, -34851, 2504698]$	\(y^2+xy+y=x^3-34851x+2504698\)	374.2.0.?	$[(98, 132), (197, 1716)]$
308550.hr1	308550hr1	308550.hr	308550hr	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11^{2} \cdot 17 \)	\( - 2^{2} \cdot 3^{2} \cdot 5^{10} \cdot 11^{7} \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$374$	$2$	$0$	$1$	$1$		$0$	$7027200$	$2.172569$	$-4227809425/6732$	$0.85157$	$4.16542$	$[1, 1, 1, -871263, 313087281]$	\(y^2+xy+y=x^3+x^2-871263x+313087281\)	374.2.0.?	$[]$
476850.fr1	476850fr1	476850.fr	476850fr	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17^{2} \)	\( - 2^{2} \cdot 3^{2} \cdot 5^{10} \cdot 11 \cdot 17^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$374$	$2$	$0$	$1$	$4$	$2$	$0$	$16865280$	$2.390228$	$-4227809425/6732$	$0.85157$	$4.22650$	$[1, 0, 1, -2080951, -1157184202]$	\(y^2+xy+y=x^3-2080951x-1157184202\)	374.2.0.?	$[]$
476850.fu1	476850fu1	476850.fu	476850fu	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17^{2} \)	\( - 2^{2} \cdot 3^{2} \cdot 5^{4} \cdot 11 \cdot 17^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$374$	$2$	$0$	$7.988605723$	$1$		$0$	$3373056$	$1.585508$	$-4227809425/6732$	$0.85157$	$3.48794$	$[1, 1, 1, -83238, -9290769]$	\(y^2+xy+y=x^3+x^2-83238x-9290769\)	374.2.0.?	$[(118549/5, 40449097/5)]$