Elliptic curve search results

Results (8 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
12502.e1	12502d1	12502.e	12502d	$1$	$1$	\( 2 \cdot 7 \cdot 19 \cdot 47 \)	\( - 2^{4} \cdot 7^{7} \cdot 19^{4} \cdot 47 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$1316$	$2$	$0$	$0.206983110$	$1$		$6$	$60928$	$1.615540$	$-143563142482697477233/80708360371856$	$0.94318$	$4.92008$	$[1, 0, 0, -109087, 13865449]$	\(y^2+xy=x^3-109087x+13865449\)	1316.2.0.?	$[(72, 2491)]$
87514.p1	87514x1	87514.p	87514x	$1$	$1$	\( 2 \cdot 7^{2} \cdot 19 \cdot 47 \)	\( - 2^{4} \cdot 7^{13} \cdot 19^{4} \cdot 47 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1316$	$2$	$0$	$3.437885884$	$1$		$0$	$2924544$	$2.588493$	$-143563142482697477233/80708360371856$	$0.94318$	$5.10475$	$[1, 1, 1, -5345264, -4761194271]$	\(y^2+xy+y=x^3+x^2-5345264x-4761194271\)	1316.2.0.?	$[(86061/5, 16390101/5)]$
100016.c1	100016o1	100016.c	100016o	$1$	$1$	\( 2^{4} \cdot 7 \cdot 19 \cdot 47 \)	\( - 2^{16} \cdot 7^{7} \cdot 19^{4} \cdot 47 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1316$	$2$	$0$	$1$	$1$		$0$	$1462272$	$2.308685$	$-143563142482697477233/80708360371856$	$0.94318$	$4.75390$	$[0, -1, 0, -1745392, -887388736]$	\(y^2=x^3-x^2-1745392x-887388736\)	1316.2.0.?	$[]$
112518.p1	112518n1	112518.p	112518n	$1$	$1$	\( 2 \cdot 3^{2} \cdot 7 \cdot 19 \cdot 47 \)	\( - 2^{4} \cdot 3^{6} \cdot 7^{7} \cdot 19^{4} \cdot 47 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1316$	$2$	$0$	$1$	$1$		$0$	$1827840$	$2.164845$	$-143563142482697477233/80708360371856$	$0.94318$	$4.55735$	$[1, -1, 0, -981783, -374367123]$	\(y^2+xy=x^3-x^2-981783x-374367123\)	1316.2.0.?	$[]$
237538.d1	237538d1	237538.d	237538d	$1$	$1$	\( 2 \cdot 7 \cdot 19^{2} \cdot 47 \)	\( - 2^{4} \cdot 7^{7} \cdot 19^{10} \cdot 47 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1316$	$2$	$0$	$3.181938795$	$1$		$2$	$21934080$	$3.087757$	$-143563142482697477233/80708360371856$	$0.94318$	$5.17697$	$[1, 1, 0, -39380414, -95181875516]$	\(y^2+xy=x^3+x^2-39380414x-95181875516\)	1316.2.0.?	$[(11132, 914262)]$
312550.l1	312550l1	312550.l	312550l	$1$	$1$	\( 2 \cdot 5^{2} \cdot 7 \cdot 19 \cdot 47 \)	\( - 2^{4} \cdot 5^{6} \cdot 7^{7} \cdot 19^{4} \cdot 47 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1316$	$2$	$0$	$1$	$1$		$0$	$6580224$	$2.420258$	$-143563142482697477233/80708360371856$	$0.94318$	$4.43160$	$[1, 1, 0, -2727175, 1733181125]$	\(y^2+xy=x^3+x^2-2727175x+1733181125\)	1316.2.0.?	$[]$
400064.o1	400064o1	400064.o	400064o	$1$	$1$	\( 2^{6} \cdot 7 \cdot 19 \cdot 47 \)	\( - 2^{22} \cdot 7^{7} \cdot 19^{4} \cdot 47 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1316$	$2$	$0$	$0.388778526$	$1$		$4$	$11698176$	$2.655258$	$-143563142482697477233/80708360371856$	$0.94318$	$4.56541$	$[0, -1, 0, -6981569, 7106091457]$	\(y^2=x^3-x^2-6981569x+7106091457\)	1316.2.0.?	$[(-1551, 119168)]$
400064.bm1	400064bm1	400064.bm	400064bm	$1$	$1$	\( 2^{6} \cdot 7 \cdot 19 \cdot 47 \)	\( - 2^{22} \cdot 7^{7} \cdot 19^{4} \cdot 47 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1316$	$2$	$0$	$74.12547060$	$1$		$0$	$11698176$	$2.655258$	$-143563142482697477233/80708360371856$	$0.94318$	$4.56541$	$[0, 1, 0, -6981569, -7106091457]$	\(y^2=x^3+x^2-6981569x-7106091457\)	1316.2.0.?	$[(5222999706639059113696859148051349/674147668864233, 366463697392041711798288175579620266316741954744452/674147668864233)]$