Elliptic curve search results

Results (6 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
56550.k1	56550c1	56550.k	56550c	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 13 \cdot 29 \)	\( - 2^{15} \cdot 3^{9} \cdot 5^{2} \cdot 13 \cdot 29 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$9048$	$2$	$0$	$1$	$1$		$0$	$758160$	$2.011276$	$-18454054577038909003345/243154649088$	$0.99511$	$4.97935$	$[1, 1, 0, -1609790, -786814860]$	\(y^2+xy=x^3+x^2-1609790x-786814860\)	9048.2.0.?	$[]$
56550.bu1	56550ch1	56550.bu	56550ch	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 13 \cdot 29 \)	\( - 2^{15} \cdot 3^{9} \cdot 5^{8} \cdot 13 \cdot 29 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$9048$	$2$	$0$	$1$	$1$		$0$	$3790800$	$2.815994$	$-18454054577038909003345/243154649088$	$0.99511$	$5.86181$	$[1, 0, 0, -40244763, -98271367983]$	\(y^2+xy=x^3-40244763x-98271367983\)	9048.2.0.?	$[]$
169650.v1	169650cw1	169650.v	169650cw	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 29 \)	\( - 2^{15} \cdot 3^{15} \cdot 5^{8} \cdot 13 \cdot 29 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$9048$	$2$	$0$	$1$	$1$		$0$	$30326400$	$3.365303$	$-18454054577038909003345/243154649088$	$0.99511$	$5.87442$	$[1, -1, 0, -362202867, 2653326935541]$	\(y^2+xy=x^3-x^2-362202867x+2653326935541\)	9048.2.0.?	$[]$
169650.fi1	169650bn1	169650.fi	169650bn	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 29 \)	\( - 2^{15} \cdot 3^{15} \cdot 5^{2} \cdot 13 \cdot 29 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$9048$	$2$	$0$	$0.799048546$	$1$		$4$	$6065280$	$2.560581$	$-18454054577038909003345/243154649088$	$0.99511$	$5.07247$	$[1, -1, 1, -14488115, 21229513107]$	\(y^2+xy+y=x^3-x^2-14488115x+21229513107\)	9048.2.0.?	$[(1595, 45858)]$
452400.cg1	452400cg1	452400.cg	452400cg	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \cdot 29 \)	\( - 2^{27} \cdot 3^{9} \cdot 5^{8} \cdot 13 \cdot 29 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$9048$	$2$	$0$	$19.77775367$	$1$		$0$	$90979200$	$3.509144$	$-18454054577038909003345/243154649088$	$0.99511$	$5.56451$	$[0, -1, 0, -643916208, 6289367550912]$	\(y^2=x^3-x^2-643916208x+6289367550912\)	9048.2.0.?	$[(112802823944/2855, 3923759324982272/2855)]$
452400.do1	452400do1	452400.do	452400do	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \cdot 29 \)	\( - 2^{27} \cdot 3^{9} \cdot 5^{2} \cdot 13 \cdot 29 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$9048$	$2$	$0$	$1$	$1$		$0$	$18195840$	$2.704422$	$-18454054577038909003345/243154649088$	$0.99511$	$4.82297$	$[0, 1, 0, -25756648, 50304637748]$	\(y^2=x^3+x^2-25756648x+50304637748\)	9048.2.0.?	$[]$