Elliptic curve search results

Results (14 matches)

  Download displayed columns for results to

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
19950.e1	19950p1	19950.e	19950p	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19 \)	\( - 2^{3} \cdot 3^{6} \cdot 5^{3} \cdot 7 \cdot 19^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$5320$	$2$	$0$	$3.940887124$	$1$		$2$	$153216$	$1.685432$	$-1569510182075597/36491419872936$	$1.00529$	$4.39711$	$[1, 1, 0, -12105, -3294675]$	\(y^2+xy=x^3+x^2-12105x-3294675\)	5320.2.0.?	$[(495, 10350)]$
19950.cr1	19950de1	19950.cr	19950de	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19 \)	\( - 2^{3} \cdot 3^{6} \cdot 5^{9} \cdot 7 \cdot 19^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$5320$	$2$	$0$	$1$	$1$		$0$	$766080$	$2.490150$	$-1569510182075597/36491419872936$	$1.00529$	$5.37243$	$[1, 0, 0, -302638, -411229108]$	\(y^2+xy=x^3-302638x-411229108\)	5320.2.0.?	$[ ]$
59850.bq1	59850cs1	59850.bq	59850cs	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 19 \)	\( - 2^{3} \cdot 3^{12} \cdot 5^{9} \cdot 7 \cdot 19^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$5320$	$2$	$0$	$12.94979619$	$1$		$0$	$6128640$	$3.039459$	$-1569510182075597/36491419872936$	$1.00529$	$5.43511$	$[1, -1, 0, -2723742, 11103185916]$	\(y^2+xy=x^3-x^2-2723742x+11103185916\)	5320.2.0.?	$[(12169311/38, 41796580341/38)]$
59850.gp1	59850gm1	59850.gp	59850gm	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 19 \)	\( - 2^{3} \cdot 3^{12} \cdot 5^{3} \cdot 7 \cdot 19^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$5320$	$2$	$0$	$4.460490452$	$1$		$2$	$1225728$	$2.234741$	$-1569510182075597/36491419872936$	$1.00529$	$4.55720$	$[1, -1, 1, -108950, 88847277]$	\(y^2+xy+y=x^3-x^2-108950x+88847277\)	5320.2.0.?	$[(599, 15135)]$
139650.cm1	139650fi1	139650.cm	139650fi	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 19 \)	\( - 2^{3} \cdot 3^{6} \cdot 5^{3} \cdot 7^{7} \cdot 19^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$5320$	$2$	$0$	$0.222065093$	$1$		$8$	$7354368$	$2.658390$	$-1569510182075597/36491419872936$	$1.00529$	$4.66039$	$[1, 0, 1, -593171, 1128294038]$	\(y^2+xy+y=x^3-593171x+1128294038\)	5320.2.0.?	$[(2622, 131356)]$
139650.ep1	139650cw1	139650.ep	139650cw	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 19 \)	\( - 2^{3} \cdot 3^{6} \cdot 5^{9} \cdot 7^{7} \cdot 19^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$5320$	$2$	$0$	$0.424026610$	$1$		$6$	$36771840$	$3.463108$	$-1569510182075597/36491419872936$	$1.00529$	$5.47551$	$[1, 1, 1, -14829263, 141036754781]$	\(y^2+xy+y=x^3+x^2-14829263x+141036754781\)	5320.2.0.?	$[(5529, 474838)]$
159600.dc1	159600dh1	159600.dc	159600dh	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19 \)	\( - 2^{15} \cdot 3^{6} \cdot 5^{9} \cdot 7 \cdot 19^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$5320$	$2$	$0$	$1.561068444$	$1$		$0$	$18385920$	$3.183300$	$-1569510182075597/36491419872936$	$1.00529$	$5.13422$	$[0, -1, 0, -4842208, 26318662912]$	\(y^2=x^3-x^2-4842208x+26318662912\)	5320.2.0.?	$[(2893/2, 1218375/2)]$
159600.fg1	159600v1	159600.fg	159600v	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19 \)	\( - 2^{15} \cdot 3^{6} \cdot 5^{3} \cdot 7 \cdot 19^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$5320$	$2$	$0$	$0.164903265$	$1$		$6$	$3677184$	$2.378582$	$-1569510182075597/36491419872936$	$1.00529$	$4.32818$	$[0, 1, 0, -193688, 210471828]$	\(y^2=x^3+x^2-193688x+210471828\)	5320.2.0.?	$[(358, 13680)]$
379050.c1	379050c1	379050.c	379050c	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19^{2} \)	\( - 2^{3} \cdot 3^{6} \cdot 5^{9} \cdot 7 \cdot 19^{13} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$5320$	$2$	$0$	$7.566134092$	$1$		$0$	$275788800$	$3.962372$	$-1569510182075597/36491419872936$	$1.00529$	$5.51628$	$[1, 1, 0, -109252325, 2820401947125]$	\(y^2+xy=x^3+x^2-109252325x+2820401947125\)	5320.2.0.?	$[(1695215/7, 2175567185/7)]$
379050.iw1	379050iw1	379050.iw	379050iw	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19^{2} \)	\( - 2^{3} \cdot 3^{6} \cdot 5^{3} \cdot 7 \cdot 19^{13} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$5320$	$2$	$0$	$1$	$1$		$0$	$55157760$	$3.157654$	$-1569510182075597/36491419872936$	$1.00529$	$4.76453$	$[1, 0, 0, -4370093, 22563215577]$	\(y^2+xy=x^3-4370093x+22563215577\)	5320.2.0.?	$[ ]$
418950.ie1	418950ie1	418950.ie	418950ie	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 19 \)	\( - 2^{3} \cdot 3^{12} \cdot 5^{9} \cdot 7^{7} \cdot 19^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$5320$	$2$	$0$	$3.265525877$	$1$		$2$	$294174720$	$4.012413$	$-1569510182075597/36491419872936$	$1.00529$	$5.52002$	$[1, -1, 0, -133463367, -3808125842459]$	\(y^2+xy=x^3-x^2-133463367x-3808125842459\)	5320.2.0.?	$[(213369, 98288378)]$
418950.ql1	418950ql1	418950.ql	418950ql	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 19 \)	\( - 2^{3} \cdot 3^{12} \cdot 5^{3} \cdot 7^{7} \cdot 19^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$5320$	$2$	$0$	$1$	$1$		$0$	$58834944$	$3.207695$	$-1569510182075597/36491419872936$	$1.00529$	$4.77408$	$[1, -1, 1, -5338535, -30463939033]$	\(y^2+xy+y=x^3-x^2-5338535x-30463939033\)	5320.2.0.?	$[ ]$
478800.r1	478800r1	478800.r	478800r	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 19 \)	\( - 2^{15} \cdot 3^{12} \cdot 5^{3} \cdot 7 \cdot 19^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$5320$	$2$	$0$	$2.128148619$	$1$		$2$	$29417472$	$2.927887$	$-1569510182075597/36491419872936$	$1.00529$	$4.46861$	$[0, 0, 0, -1743195, -5684482550]$	\(y^2=x^3-1743195x-5684482550\)	5320.2.0.?	$[(6335, 487350)]$
478800.ij1	478800ij1	478800.ij	478800ij	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 19 \)	\( - 2^{15} \cdot 3^{12} \cdot 5^{9} \cdot 7 \cdot 19^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$5320$	$2$	$0$	$1$	$1$		$0$	$147087360$	$3.732605$	$-1569510182075597/36491419872936$	$1.00529$	$5.20694$	$[0, 0, 0, -43579875, -710560318750]$	\(y^2=x^3-43579875x-710560318750\)	5320.2.0.?	$[ ]$

  Download displayed columns for results to