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
405600.f1	405600f1	405600.f	405600f	$1$	$1$	\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 13^{2} \)	\( 2^{12} \cdot 3^{5} \cdot 5^{4} \cdot 13^{4} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$12$	$2$	$0$	$1$	$1$		$0$	$4354560$	$1.907894$	$824348200000/243$	$1.18851$	$4.06201$	$[0, -1, 0, -816833, -283878063]$	\(y^2=x^3-x^2-816833x-283878063\)	12.2.0.a.1	$[]$
405600.l1	405600l1	405600.l	405600l	$1$	$1$	\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 13^{2} \)	\( 2^{12} \cdot 3^{5} \cdot 5^{10} \cdot 13^{4} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$12$	$2$	$0$	$1$	$1$		$0$	$21772800$	$2.712612$	$824348200000/243$	$1.18851$	$4.80982$	$[0, -1, 0, -20420833, 35525599537]$	\(y^2=x^3-x^2-20420833x+35525599537\)	12.2.0.a.1	$[]$
405600.di1	405600di1	405600.di	405600di	$1$	$1$	\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 13^{2} \)	\( 2^{12} \cdot 3^{5} \cdot 5^{10} \cdot 13^{10} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$12$	$2$	$0$	$29.94627377$	$1$		$0$	$283046400$	$3.995087$	$824348200000/243$	$1.18851$	$6.00161$	$[0, -1, 0, -3451120833, 78035937699537]$	\(y^2=x^3-x^2-3451120833x+78035937699537\)	12.2.0.a.1	$[(35612047716617/9677, 210119124544312664468/9677)]$
405600.do1	405600do1	405600.do	405600do	$1$	$1$	\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 13^{2} \)	\( 2^{12} \cdot 3^{5} \cdot 5^{4} \cdot 13^{10} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$12$	$2$	$0$	$113.0204801$	$1$		$0$	$56609280$	$3.190369$	$824348200000/243$	$1.18851$	$5.25379$	$[0, -1, 0, -138044833, -624232283663]$	\(y^2=x^3-x^2-138044833x-624232283663\)	12.2.0.a.1	$[(-488333069098460299373526730835318188270109412242869/268280404978053619103599, 6068723623301083900103681259318121047305633860278009214363245922331753688/268280404978053619103599)]$
405600.dt1	405600dt1	405600.dt	405600dt	$1$	$1$	\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 13^{2} \)	\( 2^{12} \cdot 3^{5} \cdot 5^{4} \cdot 13^{10} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$12$	$2$	$0$	$1$	$1$		$0$	$56609280$	$3.190369$	$824348200000/243$	$1.18851$	$5.25379$	$[0, 1, 0, -138044833, 624232283663]$	\(y^2=x^3+x^2-138044833x+624232283663\)	12.2.0.a.1	$[]$
405600.dv1	405600dv1	405600.dv	405600dv	$1$	$1$	\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 13^{2} \)	\( 2^{12} \cdot 3^{5} \cdot 5^{10} \cdot 13^{10} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$12$	$2$	$0$	$1$	$1$		$0$	$283046400$	$3.995087$	$824348200000/243$	$1.18851$	$6.00161$	$[0, 1, 0, -3451120833, -78035937699537]$	\(y^2=x^3+x^2-3451120833x-78035937699537\)	12.2.0.a.1	$[]$
405600.gs1	405600gs1	405600.gs	405600gs	$1$	$1$	\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 13^{2} \)	\( 2^{12} \cdot 3^{5} \cdot 5^{10} \cdot 13^{4} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$12$	$2$	$0$	$5.475263144$	$1$		$0$	$21772800$	$2.712612$	$824348200000/243$	$1.18851$	$4.80982$	$[0, 1, 0, -20420833, -35525599537]$	\(y^2=x^3+x^2-20420833x-35525599537\)	12.2.0.a.1	$[(-127867/7, 32136/7)]$
405600.hc1	405600hc1	405600.hc	405600hc	$1$	$1$	\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 13^{2} \)	\( 2^{12} \cdot 3^{5} \cdot 5^{4} \cdot 13^{4} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$12$	$2$	$0$	$0.411785750$	$1$		$6$	$4354560$	$1.907894$	$824348200000/243$	$1.18851$	$4.06201$	$[0, 1, 0, -816833, 283878063]$	\(y^2=x^3+x^2-816833x+283878063\)	12.2.0.a.1	$[(523, 60)]$