Elliptic curve search results

Results (12 matches)

  Download displayed columns for results to

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
3154.c1	3154c1	3154.c	3154c	$1$	$1$	\( 2 \cdot 19 \cdot 83 \)	\( - 2^{10} \cdot 19^{2} \cdot 83 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$166$	$2$	$0$	$0.108081160$	$1$		$8$	$1200$	$0.524679$	$-842971295994625/30682112$	$0.90933$	$4.26591$	$[1, 1, 1, -1968, 32785]$	\(y^2+xy+y=x^3+x^2-1968x+32785\)	166.2.0.?	$[(23, 7)]$
25232.j1	25232j1	25232.j	25232j	$1$	$1$	\( 2^{4} \cdot 19 \cdot 83 \)	\( - 2^{22} \cdot 19^{2} \cdot 83 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$166$	$2$	$0$	$3.944557241$	$1$		$2$	$28800$	$1.217827$	$-842971295994625/30682112$	$0.90933$	$4.21136$	$[0, 1, 0, -31488, -2161228]$	\(y^2=x^3+x^2-31488x-2161228\)	166.2.0.?	$[(1066, 34304)]$
28386.b1	28386a1	28386.b	28386a	$1$	$1$	\( 2 \cdot 3^{2} \cdot 19 \cdot 83 \)	\( - 2^{10} \cdot 3^{6} \cdot 19^{2} \cdot 83 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$166$	$2$	$0$	$1$	$1$		$0$	$36000$	$1.073986$	$-842971295994625/30682112$	$0.90933$	$3.99464$	$[1, -1, 0, -17712, -902912]$	\(y^2+xy=x^3-x^2-17712x-902912\)	166.2.0.?	$[ ]$
59926.d1	59926b1	59926.d	59926b	$1$	$1$	\( 2 \cdot 19^{2} \cdot 83 \)	\( - 2^{10} \cdot 19^{8} \cdot 83 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$166$	$2$	$0$	$17.75285037$	$1$		$0$	$432000$	$1.996899$	$-842971295994625/30682112$	$0.90933$	$4.73005$	$[1, 0, 1, -710456, -230557178]$	\(y^2+xy+y=x^3-710456x-230557178\)	166.2.0.?	$[(3887142193/1827, 135739772389817/1827)]$
78850.e1	78850a1	78850.e	78850a	$1$	$1$	\( 2 \cdot 5^{2} \cdot 19 \cdot 83 \)	\( - 2^{10} \cdot 5^{6} \cdot 19^{2} \cdot 83 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$166$	$2$	$0$	$0.763831325$	$1$		$4$	$172800$	$1.329399$	$-842971295994625/30682112$	$0.90933$	$3.90452$	$[1, 0, 1, -49201, 4196548]$	\(y^2+xy+y=x^3-49201x+4196548\)	166.2.0.?	$[(107, 346)]$
100928.l1	100928v1	100928.l	100928v	$1$	$1$	\( 2^{6} \cdot 19 \cdot 83 \)	\( - 2^{28} \cdot 19^{2} \cdot 83 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$166$	$2$	$0$	$11.61298820$	$1$		$0$	$230400$	$1.564400$	$-842971295994625/30682112$	$0.90933$	$4.06561$	$[0, -1, 0, -125953, -17163871]$	\(y^2=x^3-x^2-125953x-17163871\)	166.2.0.?	$[(683471/37, 336536360/37)]$
100928.v1	100928e1	100928.v	100928e	$1$	$1$	\( 2^{6} \cdot 19 \cdot 83 \)	\( - 2^{28} \cdot 19^{2} \cdot 83 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$166$	$2$	$0$	$1$	$1$		$0$	$230400$	$1.564400$	$-842971295994625/30682112$	$0.90933$	$4.06561$	$[0, 1, 0, -125953, 17163871]$	\(y^2=x^3+x^2-125953x+17163871\)	166.2.0.?	$[ ]$
154546.i1	154546c1	154546.i	154546c	$1$	$1$	\( 2 \cdot 7^{2} \cdot 19 \cdot 83 \)	\( - 2^{10} \cdot 7^{6} \cdot 19^{2} \cdot 83 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$166$	$2$	$0$	$1$	$1$		$0$	$453600$	$1.497635$	$-842971295994625/30682112$	$0.90933$	$3.85358$	$[1, 0, 0, -96433, -11534615]$	\(y^2+xy=x^3-96433x-11534615\)	166.2.0.?	$[ ]$
227088.o1	227088i1	227088.o	227088i	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 19 \cdot 83 \)	\( - 2^{22} \cdot 3^{6} \cdot 19^{2} \cdot 83 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$166$	$2$	$0$	$1.091725953$	$1$		$4$	$864000$	$1.767134$	$-842971295994625/30682112$	$0.90933$	$3.99555$	$[0, 0, 0, -283395, 58069762]$	\(y^2=x^3-283395x+58069762\)	166.2.0.?	$[(129, 4864)]$
261782.b1	261782b1	261782.b	261782b	$1$	$1$	\( 2 \cdot 19 \cdot 83^{2} \)	\( - 2^{10} \cdot 19^{2} \cdot 83^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$166$	$2$	$0$	$14.58556199$	$1$		$0$	$8265600$	$2.734100$	$-842971295994625/30682112$	$0.90933$	$4.88014$	$[1, 1, 0, -13557695, -19220657723]$	\(y^2+xy=x^3+x^2-13557695x-19220657723\)	166.2.0.?	$[(2966149022/827, 32601618733019/827)]$
381634.b1	381634b1	381634.b	381634b	$1$	$1$	\( 2 \cdot 11^{2} \cdot 19 \cdot 83 \)	\( - 2^{10} \cdot 11^{6} \cdot 19^{2} \cdot 83 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$166$	$2$	$0$	$5.738961395$	$1$		$2$	$1716000$	$1.723627$	$-842971295994625/30682112$	$0.90933$	$3.79354$	$[1, 1, 0, -238130, -44827724]$	\(y^2+xy=x^3+x^2-238130x-44827724\)	166.2.0.?	$[(7380, 628934)]$
479408.n1	479408n1	479408.n	479408n	$1$	$1$	\( 2^{4} \cdot 19^{2} \cdot 83 \)	\( - 2^{22} \cdot 19^{8} \cdot 83 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$166$	$2$	$0$	$3.671777739$	$1$		$0$	$10368000$	$2.690044$	$-842971295994625/30682112$	$0.90933$	$4.61399$	$[0, -1, 0, -11367288, 14755659376]$	\(y^2=x^3-x^2-11367288x+14755659376\)	166.2.0.?	$[(26812/3, 2310400/3)]$

  Download displayed columns for results to