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
47190.l1	47190o1	47190.l	47190o	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \)	\( - 2 \cdot 3^{7} \cdot 5^{4} \cdot 11^{2} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$312$	$2$	$0$	$4.201240575$	$1$		$2$	$69888$	$0.995773$	$-2863490820124561/35538750$	$0.95613$	$3.75273$	$[1, 1, 0, -14632, -687386]$	\(y^2+xy=x^3+x^2-14632x-687386\)	312.2.0.?	$[(153, 751)]$
47190.ce1	47190bz1	47190.ce	47190bz	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \)	\( - 2 \cdot 3^{7} \cdot 5^{4} \cdot 11^{8} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$312$	$2$	$0$	$2.074219389$	$1$		$0$	$768768$	$2.194721$	$-2863490820124561/35538750$	$0.95613$	$5.08960$	$[1, 1, 1, -1770535, 906058187]$	\(y^2+xy+y=x^3+x^2-1770535x+906058187\)	312.2.0.?	$[(2983/2, 5483/2)]$
141570.bb1	141570eh1	141570.bb	141570eh	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 13 \)	\( - 2 \cdot 3^{13} \cdot 5^{4} \cdot 11^{8} \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$312$	$2$	$0$	$1$	$9$	$3$	$0$	$6150144$	$2.744026$	$-2863490820124561/35538750$	$0.95613$	$5.17393$	$[1, -1, 0, -15934815, -24479505869]$	\(y^2+xy=x^3-x^2-15934815x-24479505869\)	312.2.0.?	$[]$
141570.cx1	141570bk1	141570.cx	141570bk	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 13 \)	\( - 2 \cdot 3^{13} \cdot 5^{4} \cdot 11^{2} \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$312$	$2$	$0$	$1$	$1$		$0$	$559104$	$1.545080$	$-2863490820124561/35538750$	$0.95613$	$3.96089$	$[1, -1, 1, -131693, 18427731]$	\(y^2+xy+y=x^3-x^2-131693x+18427731\)	312.2.0.?	$[]$
235950.cs1	235950cs1	235950.cs	235950cs	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11^{2} \cdot 13 \)	\( - 2 \cdot 3^{7} \cdot 5^{10} \cdot 11^{8} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$312$	$2$	$0$	$0.680501180$	$1$		$4$	$18450432$	$2.999439$	$-2863490820124561/35538750$	$0.95613$	$5.20804$	$[1, 0, 1, -44263376, 113345800148]$	\(y^2+xy+y=x^3-44263376x+113345800148\)	312.2.0.?	$[(3882, 2596)]$
235950.iq1	235950iq1	235950.iq	235950iq	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11^{2} \cdot 13 \)	\( - 2 \cdot 3^{7} \cdot 5^{10} \cdot 11^{2} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$312$	$2$	$0$	$13.21391928$	$1$		$0$	$1677312$	$1.800491$	$-2863490820124561/35538750$	$0.95613$	$4.04508$	$[1, 0, 0, -365813, -85191633]$	\(y^2+xy=x^3-365813x-85191633\)	312.2.0.?	$[(5682643/62, 11988609617/62)]$
377520.gp1	377520gp1	377520.gp	377520gp	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \)	\( - 2^{13} \cdot 3^{7} \cdot 5^{4} \cdot 11^{8} \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$312$	$2$	$0$	$1$	$1$		$0$	$18450432$	$2.887867$	$-2863490820124561/35538750$	$0.95613$	$4.91316$	$[0, 1, 0, -28328560, -58044381100]$	\(y^2=x^3+x^2-28328560x-58044381100\)	312.2.0.?	$[]$
377520.hg1	377520hg1	377520.hg	377520hg	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \)	\( - 2^{13} \cdot 3^{7} \cdot 5^{4} \cdot 11^{2} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$312$	$2$	$0$	$0.338881147$	$1$		$6$	$1677312$	$1.688921$	$-2863490820124561/35538750$	$0.95613$	$3.79277$	$[0, 1, 0, -234120, 43524468]$	\(y^2=x^3+x^2-234120x+43524468\)	312.2.0.?	$[(276, 90)]$