Elliptic curve search results

Results (18 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
1462.c1	1462c1	1462.c	1462c	$1$	$1$	\( 2 \cdot 17 \cdot 43 \)	\( - 2^{20} \cdot 17^{5} \cdot 43 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$1462$	$2$	$0$	$1$	$1$		$0$	$7200$	$1.337370$	$-26827837227982881/64019602866176$	$0.99543$	$5.41499$	$[1, -1, 1, -6237, -427547]$	\(y^2+xy+y=x^3-x^2-6237x-427547\)	1462.2.0.?	$[]$
11696.b1	11696m1	11696.b	11696m	$1$	$1$	\( 2^{4} \cdot 17 \cdot 43 \)	\( - 2^{32} \cdot 17^{5} \cdot 43 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1462$	$2$	$0$	$2.980656561$	$1$		$2$	$172800$	$2.030518$	$-26827837227982881/64019602866176$	$0.99543$	$5.10087$	$[0, 0, 0, -99787, 27462778]$	\(y^2=x^3-99787x+27462778\)	1462.2.0.?	$[(2373, 114688)]$
13158.d1	13158f1	13158.d	13158f	$1$	$1$	\( 2 \cdot 3^{2} \cdot 17 \cdot 43 \)	\( - 2^{20} \cdot 3^{6} \cdot 17^{5} \cdot 43 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1462$	$2$	$0$	$1.112211408$	$1$		$4$	$100800$	$1.886675$	$-26827837227982881/64019602866176$	$0.99543$	$4.85554$	$[1, -1, 0, -56130, 11599892]$	\(y^2+xy=x^3-x^2-56130x+11599892\)	1462.2.0.?	$[(2804, 146566)]$
24854.d1	24854e1	24854.d	24854e	$1$	$1$	\( 2 \cdot 17^{2} \cdot 43 \)	\( - 2^{20} \cdot 17^{11} \cdot 43 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1462$	$2$	$0$	$1$	$1$		$0$	$2073600$	$2.753975$	$-26827837227982881/64019602866176$	$0.99543$	$5.57876$	$[1, -1, 1, -1802403, -2107746717]$	\(y^2+xy+y=x^3-x^2-1802403x-2107746717\)	1462.2.0.?	$[]$
36550.a1	36550g1	36550.a	36550g	$1$	$1$	\( 2 \cdot 5^{2} \cdot 17 \cdot 43 \)	\( - 2^{20} \cdot 5^{6} \cdot 17^{5} \cdot 43 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1462$	$2$	$0$	$1.515521390$	$1$		$2$	$1008000$	$2.142090$	$-26827837227982881/64019602866176$	$0.99543$	$4.67510$	$[1, -1, 0, -155917, -53599259]$	\(y^2+xy=x^3-x^2-155917x-53599259\)	1462.2.0.?	$[(1130, 34251)]$
46784.a1	46784j1	46784.a	46784j	$1$	$1$	\( 2^{6} \cdot 17 \cdot 43 \)	\( - 2^{38} \cdot 17^{5} \cdot 43 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1462$	$2$	$0$	$1$	$1$		$0$	$1382400$	$2.377090$	$-26827837227982881/64019602866176$	$0.99543$	$4.83003$	$[0, 0, 0, -399148, -219702224]$	\(y^2=x^3-399148x-219702224\)	1462.2.0.?	$[]$
46784.bf1	46784w1	46784.bf	46784w	$1$	$1$	\( 2^{6} \cdot 17 \cdot 43 \)	\( - 2^{38} \cdot 17^{5} \cdot 43 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1462$	$2$	$0$	$1$	$9$	$3$	$0$	$1382400$	$2.377090$	$-26827837227982881/64019602866176$	$0.99543$	$4.83003$	$[0, 0, 0, -399148, 219702224]$	\(y^2=x^3-399148x+219702224\)	1462.2.0.?	$[]$
62866.a1	62866d1	62866.a	62866d	$1$	$1$	\( 2 \cdot 17 \cdot 43^{2} \)	\( - 2^{20} \cdot 17^{5} \cdot 43^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1462$	$2$	$0$	$1$	$1$		$0$	$13305600$	$3.217968$	$-26827837227982881/64019602866176$	$0.99543$	$5.61414$	$[1, -1, 0, -11531635, 34119806197]$	\(y^2+xy=x^3-x^2-11531635x+34119806197\)	1462.2.0.?	$[]$
71638.k1	71638x1	71638.k	71638x	$1$	$1$	\( 2 \cdot 7^{2} \cdot 17 \cdot 43 \)	\( - 2^{20} \cdot 7^{6} \cdot 17^{5} \cdot 43 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1462$	$2$	$0$	$0.107596901$	$1$		$32$	$2764800$	$2.310326$	$-26827837227982881/64019602866176$	$0.99543$	$4.57427$	$[1, -1, 1, -305598, 147259725]$	\(y^2+xy+y=x^3-x^2-305598x+147259725\)	1462.2.0.?	$[(1465, 52579), (37, 11643)]$
105264.t1	105264bx1	105264.t	105264bx	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 17 \cdot 43 \)	\( - 2^{32} \cdot 3^{6} \cdot 17^{5} \cdot 43 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1462$	$2$	$0$	$4.450742579$	$1$		$0$	$2419200$	$2.579823$	$-26827837227982881/64019602866176$	$0.99543$	$4.70170$	$[0, 0, 0, -898083, -741495006]$	\(y^2=x^3-898083x-741495006\)	1462.2.0.?	$[(275329/9, 137314304/9)]$
176902.e1	176902j1	176902.e	176902j	$1$	$1$	\( 2 \cdot 11^{2} \cdot 17 \cdot 43 \)	\( - 2^{20} \cdot 11^{6} \cdot 17^{5} \cdot 43 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1462$	$2$	$0$	$1$	$1$		$0$	$10080000$	$2.536316$	$-26827837227982881/64019602866176$	$0.99543$	$4.45650$	$[1, -1, 0, -754639, 571328621]$	\(y^2+xy=x^3-x^2-754639x+571328621\)	1462.2.0.?	$[]$
198832.t1	198832j1	198832.t	198832j	$1$	$1$	\( 2^{4} \cdot 17^{2} \cdot 43 \)	\( - 2^{32} \cdot 17^{11} \cdot 43 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1462$	$2$	$0$	$25.88387965$	$1$		$0$	$49766400$	$3.447124$	$-26827837227982881/64019602866176$	$0.99543$	$5.30967$	$[0, 0, 0, -28838443, 134924628314]$	\(y^2=x^3-28838443x+134924628314\)	1462.2.0.?	$[(347632983406861/111813, 6380256799025969610752/111813)]$
223686.r1	223686bp1	223686.r	223686bp	$1$	$1$	\( 2 \cdot 3^{2} \cdot 17^{2} \cdot 43 \)	\( - 2^{20} \cdot 3^{6} \cdot 17^{11} \cdot 43 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1462$	$2$	$0$	$1$	$1$		$0$	$29030400$	$3.303284$	$-26827837227982881/64019602866176$	$0.99543$	$5.11877$	$[1, -1, 0, -16221624, 56925382976]$	\(y^2+xy=x^3-x^2-16221624x+56925382976\)	1462.2.0.?	$[]$
247078.p1	247078p1	247078.p	247078p	$1$	$1$	\( 2 \cdot 13^{2} \cdot 17 \cdot 43 \)	\( - 2^{20} \cdot 13^{6} \cdot 17^{5} \cdot 43 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1462$	$2$	$0$	$72.94219997$	$1$		$0$	$14774400$	$2.619843$	$-26827837227982881/64019602866176$	$0.99543$	$4.41731$	$[1, -1, 0, -1054000, -942482176]$	\(y^2+xy=x^3-x^2-1054000x-942482176\)	1462.2.0.?	$[(1422911515898528784221945218423264/382762852540239, 53071461972230210192796943927686314043818349691888/382762852540239)]$
292400.cp1	292400cp1	292400.cp	292400cp	$1$	$1$	\( 2^{4} \cdot 5^{2} \cdot 17 \cdot 43 \)	\( - 2^{32} \cdot 5^{6} \cdot 17^{5} \cdot 43 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1462$	$2$	$0$	$6.358024660$	$1$		$0$	$24192000$	$2.835236$	$-26827837227982881/64019602866176$	$0.99543$	$4.56356$	$[0, 0, 0, -2494675, 3432847250]$	\(y^2=x^3-2494675x+3432847250\)	1462.2.0.?	$[(-459719/15, 1949696/15)]$
328950.fx1	328950fx1	328950.fx	328950fx	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 17 \cdot 43 \)	\( - 2^{20} \cdot 3^{6} \cdot 5^{6} \cdot 17^{5} \cdot 43 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1462$	$2$	$0$	$1$	$1$		$0$	$14112000$	$2.691395$	$-26827837227982881/64019602866176$	$0.99543$	$4.38538$	$[1, -1, 1, -1403255, 1448583247]$	\(y^2+xy+y=x^3-x^2-1403255x+1448583247\)	1462.2.0.?	$[]$
421056.ds1	421056ds1	421056.ds	421056ds	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 17 \cdot 43 \)	\( - 2^{38} \cdot 3^{6} \cdot 17^{5} \cdot 43 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1462$	$2$	$0$	$1$	$1$		$0$	$19353600$	$2.926395$	$-26827837227982881/64019602866176$	$0.99543$	$4.51954$	$[0, 0, 0, -3592332, 5931960048]$	\(y^2=x^3-3592332x+5931960048\)	1462.2.0.?	$[]$
421056.dt1	421056dt1	421056.dt	421056dt	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 17 \cdot 43 \)	\( - 2^{38} \cdot 3^{6} \cdot 17^{5} \cdot 43 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1462$	$2$	$0$	$1$	$1$		$0$	$19353600$	$2.926395$	$-26827837227982881/64019602866176$	$0.99543$	$4.51954$	$[0, 0, 0, -3592332, -5931960048]$	\(y^2=x^3-3592332x-5931960048\)	1462.2.0.?	$[]$