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
55545.w1	55545o1	55545.w	55545o	$1$	$1$	\( 3 \cdot 5 \cdot 7 \cdot 23^{2} \)	\( - 3^{9} \cdot 5^{16} \cdot 7^{3} \cdot 23^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$966$	$2$	$0$	$1$	$1$		$0$	$6884352$	$2.948315$	$-2476357085090396229632/1030161895751953125$	$1.05208$	$5.41963$	$[0, 1, 1, -6482726, -8331358195]$	\(y^2+y=x^3+x^2-6482726x-8331358195\)	966.2.0.?	$[]$
55545.z1	55545w1	55545.z	55545w	$1$	$1$	\( 3 \cdot 5 \cdot 7 \cdot 23^{2} \)	\( - 3^{9} \cdot 5^{16} \cdot 7^{3} \cdot 23^{9} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$966$	$2$	$0$	$1$	$1$		$0$	$158340096$	$4.516060$	$-2476357085090396229632/1030161895751953125$	$1.05208$	$7.14165$	$[0, 1, 1, -3429362230, 101340200258131]$	\(y^2+y=x^3+x^2-3429362230x+101340200258131\)	966.2.0.?	$[]$
166635.a1	166635i1	166635.a	166635i	$1$	$1$	\( 3^{2} \cdot 5 \cdot 7 \cdot 23^{2} \)	\( - 3^{15} \cdot 5^{16} \cdot 7^{3} \cdot 23^{9} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$966$	$2$	$0$	$29.73632207$	$1$		$0$	$1266720768$	$5.065369$	$-2476357085090396229632/1030161895751953125$	$1.05208$	$7.03734$	$[0, 0, 1, -30864260073, -2736216271229616]$	\(y^2+y=x^3-30864260073x-2736216271229616\)	966.2.0.?	$[(28190553282473273/193012, 4588490416431818075035981/193012)]$
166635.l1	166635b1	166635.l	166635b	$1$	$1$	\( 3^{2} \cdot 5 \cdot 7 \cdot 23^{2} \)	\( - 3^{15} \cdot 5^{16} \cdot 7^{3} \cdot 23^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$966$	$2$	$0$	$0.173374423$	$1$		$10$	$55074816$	$3.497620$	$-2476357085090396229632/1030161895751953125$	$1.05208$	$5.47266$	$[0, 0, 1, -58344537, 224888326722]$	\(y^2+y=x^3-58344537x+224888326722\)	966.2.0.?	$[(2327, 318937)]$
277725.a1	277725a1	277725.a	277725a	$1$	$1$	\( 3 \cdot 5^{2} \cdot 7 \cdot 23^{2} \)	\( - 3^{9} \cdot 5^{22} \cdot 7^{3} \cdot 23^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$966$	$2$	$0$	$1$	$1$		$0$	$165224448$	$3.753033$	$-2476357085090396229632/1030161895751953125$	$1.05208$	$5.49415$	$[0, -1, 1, -162068158, -1041095638032]$	\(y^2+y=x^3-x^2-162068158x-1041095638032\)	966.2.0.?	$[]$
277725.j1	277725j1	277725.j	277725j	$1$	$1$	\( 3 \cdot 5^{2} \cdot 7 \cdot 23^{2} \)	\( - 3^{9} \cdot 5^{22} \cdot 7^{3} \cdot 23^{9} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$966$	$2$	$0$	$30.73569948$	$1$		$0$	$3800162304$	$5.320778$	$-2476357085090396229632/1030161895751953125$	$1.05208$	$6.99506$	$[0, -1, 1, -85734055758, 12667696500377918]$	\(y^2+y=x^3-x^2-85734055758x+12667696500377918\)	966.2.0.?	$[(41853533547984733/202658, 8254726801321471328272019/202658)]$
388815.di1	388815di1	388815.di	388815di	$1$	$1$	\( 3 \cdot 5 \cdot 7^{2} \cdot 23^{2} \)	\( - 3^{9} \cdot 5^{16} \cdot 7^{9} \cdot 23^{9} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$966$	$2$	$0$	$537.1851580$	$1$		$0$	$7600324608$	$5.489014$	$-2476357085090396229632/1030161895751953125$	$1.05208$	$6.96905$	$[0, -1, 1, -168038749286, -34760024766037579]$	\(y^2+y=x^3-x^2-168038749286x-34760024766037579\)	966.2.0.?	$[(9671887200087378037934023489338530270410418752888658228732647369731451350626536499250807863978121387789950932364524130676398524504001979921989948463369364352296857232386687821111953943115880447808379450694041447692938390481651861891293537/125683192744900470536374735755309994859223694184058135449190560384941172722293014310864441663730067715657380141839328, 601843717770929373094060063611805703560182775986204131392373871446011482301497103599732221778459702275859539261078809737312761980315401896095433595796493788296474901316384390155994092705864283192551202862946946854097436347434095898344213840558911332085948628893516620076600550931066888956245084501541847646464237563286857869512865528212760613849896909032849/125683192744900470536374735755309994859223694184058135449190560384941172722293014310864441663730067715657380141839328)]$
388815.dk1	388815dk1	388815.dk	388815dk	$1$	$1$	\( 3 \cdot 5 \cdot 7^{2} \cdot 23^{2} \)	\( - 3^{9} \cdot 5^{16} \cdot 7^{9} \cdot 23^{3} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$966$	$2$	$0$	$4.551688387$	$1$		$0$	$330448896$	$3.921268$	$-2476357085090396229632/1030161895751953125$	$1.05208$	$5.50738$	$[0, -1, 1, -317653590, 2857020553631]$	\(y^2+y=x^3-x^2-317653590x+2857020553631\)	966.2.0.?	$[(62845/2, 10565621/2), (754505/4, 616328093/4)]$