Elliptic curve search results

Results (16 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
9660.f1	9660f1	9660.f	9660f	$1$	$1$	\( 2^{2} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \)	\( - 2^{8} \cdot 3^{23} \cdot 5^{2} \cdot 7 \cdot 23^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$966$	$2$	$0$	$1$	$1$		$0$	$2210208$	$3.509716$	$-6218589009063615570313216/56094690913037211867075$	$1.07844$	$7.13221$	$[0, 1, 0, -24325925, 188071325175]$	\(y^2=x^3+x^2-24325925x+188071325175\)	966.2.0.?	$[]$
28980.b1	28980a1	28980.b	28980a	$1$	$1$	\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \)	\( - 2^{8} \cdot 3^{29} \cdot 5^{2} \cdot 7 \cdot 23^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$966$	$2$	$0$	$1$	$1$		$0$	$17681664$	$4.059021$	$-6218589009063615570313216/56094690913037211867075$	$1.07844$	$7.01115$	$[0, 0, 0, -218933328, -5078144713052]$	\(y^2=x^3-218933328x-5078144713052\)	966.2.0.?	$[]$
38640.bt1	38640ch1	38640.bt	38640ch	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \)	\( - 2^{8} \cdot 3^{23} \cdot 5^{2} \cdot 7 \cdot 23^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$966$	$2$	$0$	$7.593312363$	$1$		$0$	$8840832$	$3.509716$	$-6218589009063615570313216/56094690913037211867075$	$1.07844$	$6.19609$	$[0, -1, 0, -24325925, -188071325175]$	\(y^2=x^3-x^2-24325925x-188071325175\)	966.2.0.?	$[(1209985/13, 150992470/13)]$
48300.i1	48300h1	48300.i	48300h	$1$	$1$	\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 23 \)	\( - 2^{8} \cdot 3^{23} \cdot 5^{8} \cdot 7 \cdot 23^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$966$	$2$	$0$	$1$	$1$		$0$	$53044992$	$4.314438$	$-6218589009063615570313216/56094690913037211867075$	$1.07844$	$6.96326$	$[0, -1, 0, -608148133, 23510131943137]$	\(y^2=x^3-x^2-608148133x+23510131943137\)	966.2.0.?	$[]$
67620.a1	67620d1	67620.a	67620d	$1$	$1$	\( 2^{2} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \)	\( - 2^{8} \cdot 3^{23} \cdot 5^{2} \cdot 7^{7} \cdot 23^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$966$	$2$	$0$	$60.98683763$	$1$		$0$	$106089984$	$4.482674$	$-6218589009063615570313216/56094690913037211867075$	$1.07844$	$6.93412$	$[0, -1, 0, -1191970341, -64510848475695]$	\(y^2=x^3-x^2-1191970341x-64510848475695\)	966.2.0.?	$[(524527083144629350181071088/75030709531, 10629501819861978657786478664974156837805/75030709531)]$
115920.bc1	115920dr1	115920.bc	115920dr	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \)	\( - 2^{8} \cdot 3^{29} \cdot 5^{2} \cdot 7 \cdot 23^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$966$	$2$	$0$	$1$	$1$		$0$	$70726656$	$4.059021$	$-6218589009063615570313216/56094690913037211867075$	$1.07844$	$6.17762$	$[0, 0, 0, -218933328, 5078144713052]$	\(y^2=x^3-218933328x+5078144713052\)	966.2.0.?	$[]$
144900.bz1	144900x1	144900.bz	144900x	$1$	$1$	\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 \)	\( - 2^{8} \cdot 3^{29} \cdot 5^{8} \cdot 7 \cdot 23^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$966$	$2$	$0$	$1$	$121$	$11$	$0$	$424359936$	$4.863739$	$-6218589009063615570313216/56094690913037211867075$	$1.07844$	$6.87421$	$[0, 0, 0, -5473333200, -634768089131500]$	\(y^2=x^3-5473333200x-634768089131500\)	966.2.0.?	$[]$
154560.bb1	154560ii1	154560.bb	154560ii	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \)	\( - 2^{14} \cdot 3^{23} \cdot 5^{2} \cdot 7 \cdot 23^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$966$	$2$	$0$	$58.94992810$	$1$		$0$	$70726656$	$3.856289$	$-6218589009063615570313216/56094690913037211867075$	$1.07844$	$5.82527$	$[0, -1, 0, -97303701, 1504667905101]$	\(y^2=x^3-x^2-97303701x+1504667905101\)	966.2.0.?	$[(88899386601183995278293404/8487388717, 838174165303636747183584966187062833155/8487388717)]$
154560.fd1	154560bf1	154560.fd	154560bf	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \)	\( - 2^{14} \cdot 3^{23} \cdot 5^{2} \cdot 7 \cdot 23^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$966$	$2$	$0$	$1.116037032$	$1$		$2$	$70726656$	$3.856289$	$-6218589009063615570313216/56094690913037211867075$	$1.07844$	$5.82527$	$[0, 1, 0, -97303701, -1504667905101]$	\(y^2=x^3+x^2-97303701x-1504667905101\)	966.2.0.?	$[(14334, 214245)]$
193200.fk1	193200co1	193200.fk	193200co	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 23 \)	\( - 2^{8} \cdot 3^{23} \cdot 5^{8} \cdot 7 \cdot 23^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$966$	$2$	$0$	$7.029126951$	$1$		$2$	$212179968$	$4.314438$	$-6218589009063615570313216/56094690913037211867075$	$1.07844$	$6.17016$	$[0, 1, 0, -608148133, -23510131943137]$	\(y^2=x^3+x^2-608148133x-23510131943137\)	966.2.0.?	$[(2357903, 3620469150)]$
202860.cq1	202860q1	202860.cq	202860q	$1$	$1$	\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 23 \)	\( - 2^{8} \cdot 3^{29} \cdot 5^{2} \cdot 7^{7} \cdot 23^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$966$	$2$	$0$	$1$	$1$		$0$	$848719872$	$5.031975$	$-6218589009063615570313216/56094690913037211867075$	$1.07844$	$6.85014$	$[0, 0, 0, -10727733072, 1741803636576836]$	\(y^2=x^3-10727733072x+1741803636576836\)	966.2.0.?	$[]$
222180.q1	222180o1	222180.q	222180o	$1$	$1$	\( 2^{2} \cdot 3 \cdot 5 \cdot 7 \cdot 23^{2} \)	\( - 2^{8} \cdot 3^{23} \cdot 5^{2} \cdot 7 \cdot 23^{13} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$966$	$2$	$0$	$18.70162524$	$1$		$0$	$1166989824$	$5.077461$	$-6218589009063615570313216/56094690913037211867075$	$1.07844$	$6.84386$	$[0, 1, 0, -12868414501, -2288366760719785]$	\(y^2=x^3+x^2-12868414501x-2288366760719785\)	966.2.0.?	$[(15327104882/211, 1734293134121145/211)]$
270480.gy1	270480gy1	270480.gy	270480gy	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \)	\( - 2^{8} \cdot 3^{23} \cdot 5^{2} \cdot 7^{7} \cdot 23^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$966$	$2$	$0$	$0.165475015$	$1$		$4$	$424359936$	$4.482674$	$-6218589009063615570313216/56094690913037211867075$	$1.07844$	$6.16559$	$[0, 1, 0, -1191970341, 64510848475695]$	\(y^2=x^3+x^2-1191970341x+64510848475695\)	966.2.0.?	$[(112842, 36971235)]$
338100.cg1	338100cg1	338100.cg	338100cg	$1$	$1$	\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 23 \)	\( - 2^{8} \cdot 3^{23} \cdot 5^{8} \cdot 7^{7} \cdot 23^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$966$	$2$	$0$	$0.446069809$	$1$		$6$	$2546159616$	$5.287392$	$-6218589009063615570313216/56094690913037211867075$	$1.07844$	$6.81603$	$[0, 1, 0, -29799258533, -8063915657978937]$	\(y^2=x^3+x^2-29799258533x-8063915657978937\)	966.2.0.?	$[(1900537, 2607704442)]$
463680.ho1	463680ho1	463680.ho	463680ho	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \)	\( - 2^{14} \cdot 3^{29} \cdot 5^{2} \cdot 7 \cdot 23^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$966$	$2$	$0$	$1$	$1$		$0$	$565813248$	$4.405594$	$-6218589009063615570313216/56094690913037211867075$	$1.07844$	$5.83998$	$[0, 0, 0, -875733312, -40625157704416]$	\(y^2=x^3-875733312x-40625157704416\)	966.2.0.?	$[]$
463680.od1	463680od1	463680.od	463680od	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \)	\( - 2^{14} \cdot 3^{29} \cdot 5^{2} \cdot 7 \cdot 23^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$966$	$2$	$0$	$53.35824156$	$1$		$0$	$565813248$	$4.405594$	$-6218589009063615570313216/56094690913037211867075$	$1.07844$	$5.83998$	$[0, 0, 0, -875733312, 40625157704416]$	\(y^2=x^3-875733312x+40625157704416\)	966.2.0.?	$[(85053789238372504474425113/102249632083, 6236994529322457580218037497774518057715/102249632083)]$