Elliptic curve search results

Results (12 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
5010.b1	5010b1	5010.b	5010b	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 167 \)	\( - 2 \cdot 3^{3} \cdot 5 \cdot 167 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$20040$	$2$	$0$	$1$	$1$		$0$	$864$	$-0.426844$	$1685159/45090$	$0.81219$	$2.13040$	$[1, 1, 0, 3, -9]$	\(y^2+xy=x^3+x^2+3x-9\)	20040.2.0.?	$[]$
15030.l1	15030m1	15030.l	15030m	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 167 \)	\( - 2 \cdot 3^{9} \cdot 5 \cdot 167 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$20040$	$2$	$0$	$1$	$1$		$0$	$6912$	$0.122463$	$1685159/45090$	$0.81219$	$2.57241$	$[1, -1, 1, 22, 267]$	\(y^2+xy+y=x^3-x^2+22x+267\)	20040.2.0.?	$[]$
25050.v1	25050y1	25050.v	25050y	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 167 \)	\( - 2 \cdot 3^{3} \cdot 5^{7} \cdot 167 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$20040$	$2$	$0$	$1$	$1$		$0$	$20736$	$0.377875$	$1685159/45090$	$0.81219$	$2.74528$	$[1, 0, 0, 62, -1258]$	\(y^2+xy=x^3+62x-1258\)	20040.2.0.?	$[]$
40080.bc1	40080bf1	40080.bc	40080bf	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5 \cdot 167 \)	\( - 2^{13} \cdot 3^{3} \cdot 5 \cdot 167 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$20040$	$2$	$0$	$0.319299360$	$1$		$6$	$20736$	$0.266304$	$1685159/45090$	$0.81219$	$2.49721$	$[0, 1, 0, 40, 660]$	\(y^2=x^3+x^2+40x+660\)	20040.2.0.?	$[(-2, 24)]$
75150.a1	75150k1	75150.a	75150k	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 167 \)	\( - 2 \cdot 3^{9} \cdot 5^{7} \cdot 167 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$20040$	$2$	$0$	$0.580049359$	$1$		$14$	$165888$	$0.927181$	$1685159/45090$	$0.81219$	$3.06376$	$[1, -1, 0, 558, 33966]$	\(y^2+xy=x^3-x^2+558x+33966\)	20040.2.0.?	$[(39, 318), (-11, 168)]$
120240.a1	120240cd1	120240.a	120240cd	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 167 \)	\( - 2^{13} \cdot 3^{9} \cdot 5 \cdot 167 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$20040$	$2$	$0$	$1.146242990$	$1$		$4$	$165888$	$0.815610$	$1685159/45090$	$0.81219$	$2.82620$	$[0, 0, 0, 357, -17462]$	\(y^2=x^3+357x-17462\)	20040.2.0.?	$[(23, 54)]$
160320.a1	160320bf1	160320.a	160320bf	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5 \cdot 167 \)	\( - 2^{19} \cdot 3^{3} \cdot 5 \cdot 167 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$20040$	$2$	$0$	$1.206764661$	$1$		$2$	$165888$	$0.612877$	$1685159/45090$	$0.81219$	$2.55537$	$[0, -1, 0, 159, 5121]$	\(y^2=x^3-x^2+159x+5121\)	20040.2.0.?	$[(13, 96)]$
160320.ce1	160320ca1	160320.ce	160320ca	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5 \cdot 167 \)	\( - 2^{19} \cdot 3^{3} \cdot 5 \cdot 167 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$20040$	$2$	$0$	$1$	$1$		$0$	$165888$	$0.612877$	$1685159/45090$	$0.81219$	$2.55537$	$[0, 1, 0, 159, -5121]$	\(y^2=x^3+x^2+159x-5121\)	20040.2.0.?	$[]$
200400.bj1	200400bq1	200400.bj	200400bq	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 167 \)	\( - 2^{13} \cdot 3^{3} \cdot 5^{7} \cdot 167 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$20040$	$2$	$0$	$1$	$1$		$0$	$497664$	$1.071022$	$1685159/45090$	$0.81219$	$2.95900$	$[0, -1, 0, 992, 80512]$	\(y^2=x^3-x^2+992x+80512\)	20040.2.0.?	$[]$
245490.v1	245490v1	245490.v	245490v	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 167 \)	\( - 2 \cdot 3^{3} \cdot 5 \cdot 7^{6} \cdot 167 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$20040$	$2$	$0$	$1$	$1$		$0$	$202176$	$0.546112$	$1685159/45090$	$0.81219$	$2.40309$	$[1, 0, 1, 121, 3476]$	\(y^2+xy+y=x^3+121x+3476\)	20040.2.0.?	$[]$
480960.dk1	480960dk1	480960.dk	480960dk	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 167 \)	\( - 2^{19} \cdot 3^{9} \cdot 5 \cdot 167 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$20040$	$2$	$0$	$1$	$1$		$0$	$1327104$	$1.162184$	$1685159/45090$	$0.81219$	$2.84461$	$[0, 0, 0, 1428, -139696]$	\(y^2=x^3+1428x-139696\)	20040.2.0.?	$[]$
480960.gh1	480960gh1	480960.gh	480960gh	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 167 \)	\( - 2^{19} \cdot 3^{9} \cdot 5 \cdot 167 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$20040$	$2$	$0$	$1$	$1$		$0$	$1327104$	$1.162184$	$1685159/45090$	$0.81219$	$2.84461$	$[0, 0, 0, 1428, 139696]$	\(y^2=x^3+1428x+139696\)	20040.2.0.?	$[]$