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
146523.c1	146523h1	146523.c	146523h	$1$	$1$	\( 3 \cdot 13^{2} \cdot 17^{2} \)	\( - 3^{5} \cdot 13^{2} \cdot 17^{4} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$1$	$1$		$0$	$130680$	$0.630975$	$-15388672/243$	$0.92676$	$2.77755$	$[0, -1, 1, -1252, -16872]$	\(y^2+y=x^3-x^2-1252x-16872\)	6.2.0.a.1	$[]$
146523.f1	146523b1	146523.f	146523b	$1$	$1$	\( 3 \cdot 13^{2} \cdot 17^{2} \)	\( - 3^{5} \cdot 13^{2} \cdot 17^{10} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$1$	$1$		$0$	$2221560$	$2.047581$	$-15388672/243$	$0.92676$	$4.20667$	$[0, 1, 1, -361924, -85062272]$	\(y^2+y=x^3+x^2-361924x-85062272\)	6.2.0.a.1	$[]$
146523.be1	146523bi1	146523.be	146523bi	$1$	$1$	\( 3 \cdot 13^{2} \cdot 17^{2} \)	\( - 3^{5} \cdot 13^{8} \cdot 17^{4} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$1$	$1$		$0$	$1698840$	$1.913450$	$-15388672/243$	$0.92676$	$4.07135$	$[0, -1, 1, -211644, -37913731]$	\(y^2+y=x^3-x^2-211644x-37913731\)	6.2.0.a.1	$[]$
146523.bk1	146523bh1	146523.bk	146523bh	$1$	$1$	\( 3 \cdot 13^{2} \cdot 17^{2} \)	\( - 3^{5} \cdot 13^{8} \cdot 17^{10} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$1$	$25$	$5$	$0$	$28880280$	$3.330055$	$-15388672/243$	$0.92676$	$5.50047$	$[0, 1, 1, -61165212, -186637150267]$	\(y^2+y=x^3+x^2-61165212x-186637150267\)	6.2.0.a.1	$[]$
439569.d1	439569d1	439569.d	439569d	$1$	$1$	\( 3^{2} \cdot 13^{2} \cdot 17^{2} \)	\( - 3^{11} \cdot 13^{8} \cdot 17^{10} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$1$	$1$		$0$	$231042240$	$3.879364$	$-15388672/243$	$0.92676$	$5.54271$	$[0, 0, 1, -550486911, 5038652570292]$	\(y^2+y=x^3-550486911x+5038652570292\)	6.2.0.a.1	$[]$
439569.f1	439569f1	439569.f	439569f	$1$	$1$	\( 3^{2} \cdot 13^{2} \cdot 17^{2} \)	\( - 3^{11} \cdot 13^{8} \cdot 17^{4} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$0.631963578$	$1$		$6$	$13590720$	$2.462757$	$-15388672/243$	$0.92676$	$4.23442$	$[0, 0, 1, -1904799, 1025575528]$	\(y^2+y=x^3-1904799x+1025575528\)	6.2.0.a.1	$[(676, 6844)]$
439569.cl1	439569cl1	439569.cl	439569cl	$1$	$1$	\( 3^{2} \cdot 13^{2} \cdot 17^{2} \)	\( - 3^{11} \cdot 13^{2} \cdot 17^{4} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$1.054335656$	$1$		$0$	$1045440$	$1.180281$	$-15388672/243$	$0.92676$	$3.05001$	$[0, 0, 1, -11271, 466807]$	\(y^2+y=x^3-11271x+466807\)	6.2.0.a.1	$[(289/2, 1373/2)]$
439569.cn1	439569cn1	439569.cn	439569cn	$1$	$1$	\( 3^{2} \cdot 13^{2} \cdot 17^{2} \)	\( - 3^{11} \cdot 13^{2} \cdot 17^{10} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$1$	$9$	$3$	$0$	$17772480$	$2.596886$	$-15388672/243$	$0.92676$	$4.35830$	$[0, 0, 1, -3257319, 2293424019]$	\(y^2+y=x^3-3257319x+2293424019\)	6.2.0.a.1	$[]$