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
11310.c2	11310c2	11310.c	11310c	$4$	$4$	\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 29 \)	\( 2^{4} \cdot 3^{4} \cdot 5^{4} \cdot 13^{2} \cdot 29^{2} \)	$2$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	4.12.0.1	2Cs	$1508$	$48$	$0$	$0.988849977$	$1$		$32$	$24576$	$0.844167$	$703093388853961/115124490000$	$0.90787$	$3.66280$	$[1, 1, 0, -1852, 25216]$	\(y^2+xy=x^3+x^2-1852x+25216\)	2.6.0.a.1, 4.12.0-2.a.1.1, 52.24.0-52.b.1.2, 116.24.0.?, 1508.48.0.?	$[(7, 109), (97, 829)]$
33930.r2	33930ba2	33930.r	33930ba	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5 \cdot 13 \cdot 29 \)	\( 2^{4} \cdot 3^{10} \cdot 5^{4} \cdot 13^{2} \cdot 29^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$4524$	$48$	$0$	$1$	$1$		$2$	$196608$	$1.393473$	$703093388853961/115124490000$	$0.90787$	$3.90893$	$[1, -1, 1, -16673, -697503]$	\(y^2+xy+y=x^3-x^2-16673x-697503\)	2.6.0.a.1, 12.12.0-2.a.1.1, 52.12.0.b.1, 116.12.0.?, 156.24.0.?, $\ldots$	$[]$
56550.cg2	56550bv2	56550.cg	56550bv	$4$	$4$	\( 2 \cdot 3 \cdot 5^{2} \cdot 13 \cdot 29 \)	\( 2^{4} \cdot 3^{4} \cdot 5^{10} \cdot 13^{2} \cdot 29^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$7540$	$48$	$0$	$1$	$1$		$2$	$589824$	$1.648886$	$703093388853961/115124490000$	$0.90787$	$4.00654$	$[1, 0, 0, -46313, 3244617]$	\(y^2+xy=x^3-46313x+3244617\)	2.6.0.a.1, 20.12.0-2.a.1.1, 52.12.0.b.1, 116.12.0.?, 260.24.0.?, $\ldots$	$[]$
90480.cb2	90480cc2	90480.cb	90480cc	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5 \cdot 13 \cdot 29 \)	\( 2^{16} \cdot 3^{4} \cdot 5^{4} \cdot 13^{2} \cdot 29^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.1	2Cs	$1508$	$48$	$0$	$1$	$1$		$3$	$589824$	$1.537313$	$703093388853961/115124490000$	$0.90787$	$3.72424$	$[0, 1, 0, -29640, -1673100]$	\(y^2=x^3+x^2-29640x-1673100\)	2.6.0.a.1, 4.12.0-2.a.1.1, 52.24.0-52.b.1.1, 116.24.0.?, 1508.48.0.?	$[]$
147030.bo2	147030bf2	147030.bo	147030bf	$4$	$4$	\( 2 \cdot 3 \cdot 5 \cdot 13^{2} \cdot 29 \)	\( 2^{4} \cdot 3^{4} \cdot 5^{4} \cdot 13^{8} \cdot 29^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.1	2Cs	$1508$	$48$	$0$	$4.888027170$	$1$		$4$	$4128768$	$2.126640$	$703093388853961/115124490000$	$0.90787$	$4.16663$	$[1, 1, 1, -313076, 56964773]$	\(y^2+xy+y=x^3+x^2-313076x+56964773\)	2.6.0.a.1, 4.12.0-2.a.1.1, 52.24.0-52.b.1.2, 116.24.0.?, 1508.48.0.?	$[(-363, 11269)]$
169650.cx2	169650eo2	169650.cx	169650eo	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 29 \)	\( 2^{4} \cdot 3^{10} \cdot 5^{10} \cdot 13^{2} \cdot 29^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$22620$	$48$	$0$	$1$	$1$		$2$	$4718592$	$2.198193$	$703093388853961/115124490000$	$0.90787$	$4.18842$	$[1, -1, 0, -416817, -87604659]$	\(y^2+xy=x^3-x^2-416817x-87604659\)	2.6.0.a.1, 52.12.0.b.1, 60.12.0-2.a.1.1, 116.12.0.?, 780.24.0.?, $\ldots$	$[]$
271440.cd2	271440cd2	271440.cd	271440cd	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 29 \)	\( 2^{16} \cdot 3^{10} \cdot 5^{4} \cdot 13^{2} \cdot 29^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$4524$	$48$	$0$	$1$	$1$		$3$	$4718592$	$2.086620$	$703093388853961/115124490000$	$0.90787$	$3.92407$	$[0, 0, 0, -266763, 44906938]$	\(y^2=x^3-266763x+44906938\)	2.6.0.a.1, 12.12.0-2.a.1.1, 52.12.0.b.1, 116.12.0.?, 156.24.0.?, $\ldots$	$[]$
327990.bn2	327990bn2	327990.bn	327990bn	$4$	$4$	\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 29^{2} \)	\( 2^{4} \cdot 3^{4} \cdot 5^{4} \cdot 13^{2} \cdot 29^{8} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.1	2Cs	$1508$	$48$	$0$	$2.924768487$	$1$		$6$	$20643840$	$2.527813$	$703093388853961/115124490000$	$0.90787$	$4.28245$	$[1, 0, 0, -1557970, 633686900]$	\(y^2+xy=x^3-1557970x+633686900\)	2.6.0.a.1, 4.12.0-2.a.1.1, 52.24.0-52.b.1.3, 116.24.0.?, 1508.48.0.?	$[(-100, 28130)]$
361920.bn2	361920bn2	361920.bn	361920bn	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 29 \)	\( 2^{22} \cdot 3^{4} \cdot 5^{4} \cdot 13^{2} \cdot 29^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.1	2Cs	$3016$	$48$	$0$	$1$	$1$		$3$	$4718592$	$1.883888$	$703093388853961/115124490000$	$0.90787$	$3.64579$	$[0, -1, 0, -118561, -13266239]$	\(y^2=x^3-x^2-118561x-13266239\)	2.6.0.a.1, 8.12.0-2.a.1.1, 52.12.0.b.1, 104.24.0.?, 116.12.0.?, $\ldots$	$[]$
361920.da2	361920da2	361920.da	361920da	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 29 \)	\( 2^{22} \cdot 3^{4} \cdot 5^{4} \cdot 13^{2} \cdot 29^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.1	2Cs	$3016$	$48$	$0$	$1$	$1$		$3$	$4718592$	$1.883888$	$703093388853961/115124490000$	$0.90787$	$3.64579$	$[0, 1, 0, -118561, 13266239]$	\(y^2=x^3+x^2-118561x+13266239\)	2.6.0.a.1, 8.12.0-2.a.1.1, 52.12.0.b.1, 104.24.0.?, 116.12.0.?, $\ldots$	$[]$
441090.bw2	441090bw2	441090.bw	441090bw	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 29 \)	\( 2^{4} \cdot 3^{10} \cdot 5^{4} \cdot 13^{8} \cdot 29^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$4524$	$48$	$0$	$4.748059285$	$1$		$4$	$33030144$	$2.675949$	$703093388853961/115124490000$	$0.90787$	$4.32160$	$[1, -1, 0, -2817684, -1540866560]$	\(y^2+xy=x^3-x^2-2817684x-1540866560\)	2.6.0.a.1, 12.12.0-2.a.1.1, 52.12.0.b.1, 116.12.0.?, 156.24.0.?, $\ldots$	$[(2064, 36824)]$
452400.m2	452400m2	452400.m	452400m	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \cdot 29 \)	\( 2^{16} \cdot 3^{4} \cdot 5^{10} \cdot 13^{2} \cdot 29^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$7540$	$48$	$0$	$4.415124176$	$1$		$7$	$14155776$	$2.342033$	$703093388853961/115124490000$	$0.90787$	$4.00550$	$[0, -1, 0, -741008, -207655488]$	\(y^2=x^3-x^2-741008x-207655488\)	2.6.0.a.1, 20.12.0-2.a.1.1, 52.12.0.b.1, 116.12.0.?, 260.24.0.?, $\ldots$	$[(-392, 4736)]$