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
2706.q1	2706p1	2706.q	2706p	$1$	$1$	\( 2 \cdot 3 \cdot 11 \cdot 41 \)	\( - 2^{9} \cdot 3^{11} \cdot 11^{2} \cdot 41 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$984$	$2$	$0$	$0.028259394$	$1$		$18$	$4752$	$0.932693$	$-488726621230609/449959048704$	$0.95104$	$4.40008$	$[1, 0, 0, -1641, 41049]$	\(y^2+xy=x^3-1641x+41049\)	984.2.0.?	$[(150, 1707)]$
8118.d1	8118h1	8118.d	8118h	$1$	$1$	\( 2 \cdot 3^{2} \cdot 11 \cdot 41 \)	\( - 2^{9} \cdot 3^{17} \cdot 11^{2} \cdot 41 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$984$	$2$	$0$	$1$	$1$		$0$	$38016$	$1.481998$	$-488726621230609/449959048704$	$0.95104$	$4.59534$	$[1, -1, 0, -14769, -1108323]$	\(y^2+xy=x^3-x^2-14769x-1108323\)	984.2.0.?	$[]$
21648.k1	21648t1	21648.k	21648t	$1$	$1$	\( 2^{4} \cdot 3 \cdot 11 \cdot 41 \)	\( - 2^{21} \cdot 3^{11} \cdot 11^{2} \cdot 41 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$984$	$2$	$0$	$3.345336725$	$1$		$2$	$114048$	$1.625839$	$-488726621230609/449959048704$	$0.95104$	$4.31674$	$[0, -1, 0, -26256, -2627136]$	\(y^2=x^3-x^2-26256x-2627136\)	984.2.0.?	$[(1688, 68992)]$
29766.u1	29766v1	29766.u	29766v	$1$	$1$	\( 2 \cdot 3 \cdot 11^{2} \cdot 41 \)	\( - 2^{9} \cdot 3^{11} \cdot 11^{8} \cdot 41 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$984$	$2$	$0$	$1$	$1$		$0$	$570240$	$2.131641$	$-488726621230609/449959048704$	$0.95104$	$4.77251$	$[1, 0, 1, -198564, -54834782]$	\(y^2+xy+y=x^3-198564x-54834782\)	984.2.0.?	$[]$
64944.bl1	64944bg1	64944.bl	64944bg	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 41 \)	\( - 2^{21} \cdot 3^{17} \cdot 11^{2} \cdot 41 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$984$	$2$	$0$	$1$	$1$		$0$	$912384$	$2.175144$	$-488726621230609/449959048704$	$0.95104$	$4.48362$	$[0, 0, 0, -236307, 71168978]$	\(y^2=x^3-236307x+71168978\)	984.2.0.?	$[]$
67650.u1	67650f1	67650.u	67650f	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 41 \)	\( - 2^{9} \cdot 3^{11} \cdot 5^{6} \cdot 11^{2} \cdot 41 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$984$	$2$	$0$	$5.664926316$	$1$		$0$	$665280$	$1.737411$	$-488726621230609/449959048704$	$0.95104$	$3.99488$	$[1, 1, 0, -41025, 5131125]$	\(y^2+xy=x^3+x^2-41025x+5131125\)	984.2.0.?	$[(239/2, 13379/2)]$
86592.bd1	86592n1	86592.bd	86592n	$1$	$1$	\( 2^{6} \cdot 3 \cdot 11 \cdot 41 \)	\( - 2^{27} \cdot 3^{11} \cdot 11^{2} \cdot 41 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$984$	$2$	$0$	$1$	$1$		$0$	$912384$	$1.972414$	$-488726621230609/449959048704$	$0.95104$	$4.15618$	$[0, -1, 0, -105025, 21122113]$	\(y^2=x^3-x^2-105025x+21122113\)	984.2.0.?	$[]$
86592.dg1	86592cu1	86592.dg	86592cu	$1$	$1$	\( 2^{6} \cdot 3 \cdot 11 \cdot 41 \)	\( - 2^{27} \cdot 3^{11} \cdot 11^{2} \cdot 41 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$984$	$2$	$0$	$1.783779450$	$1$		$2$	$912384$	$1.972414$	$-488726621230609/449959048704$	$0.95104$	$4.15618$	$[0, 1, 0, -105025, -21122113]$	\(y^2=x^3+x^2-105025x-21122113\)	984.2.0.?	$[(581, 10692)]$
89298.cf1	89298ca1	89298.cf	89298ca	$1$	$1$	\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 41 \)	\( - 2^{9} \cdot 3^{17} \cdot 11^{8} \cdot 41 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$984$	$2$	$0$	$1$	$1$		$0$	$4561920$	$2.680946$	$-488726621230609/449959048704$	$0.95104$	$4.89081$	$[1, -1, 1, -1787072, 1480539107]$	\(y^2+xy+y=x^3-x^2-1787072x+1480539107\)	984.2.0.?	$[]$
110946.z1	110946y1	110946.z	110946y	$1$	$1$	\( 2 \cdot 3 \cdot 11 \cdot 41^{2} \)	\( - 2^{9} \cdot 3^{11} \cdot 11^{2} \cdot 41^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$984$	$2$	$0$	$1.128745731$	$1$		$2$	$7983360$	$2.789478$	$-488726621230609/449959048704$	$0.95104$	$4.91153$	$[1, 1, 1, -2758556, 2837413757]$	\(y^2+xy+y=x^3+x^2-2758556x+2837413757\)	984.2.0.?	$[(2545, 109673)]$
132594.cd1	132594bd1	132594.cd	132594bd	$1$	$1$	\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 41 \)	\( - 2^{9} \cdot 3^{11} \cdot 7^{6} \cdot 11^{2} \cdot 41 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$984$	$2$	$0$	$1$	$1$		$0$	$1368576$	$1.905647$	$-488726621230609/449959048704$	$0.95104$	$3.93812$	$[1, 1, 1, -80410, -14160217]$	\(y^2+xy+y=x^3+x^2-80410x-14160217\)	984.2.0.?	$[]$
202950.fe1	202950cc1	202950.fe	202950cc	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 41 \)	\( - 2^{9} \cdot 3^{17} \cdot 5^{6} \cdot 11^{2} \cdot 41 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$984$	$2$	$0$	$2.220321513$	$1$		$2$	$5322240$	$2.286716$	$-488726621230609/449959048704$	$0.95104$	$4.17514$	$[1, -1, 1, -369230, -138909603]$	\(y^2+xy+y=x^3-x^2-369230x-138909603\)	984.2.0.?	$[(3095, 166851)]$
238128.s1	238128s1	238128.s	238128s	$1$	$1$	\( 2^{4} \cdot 3 \cdot 11^{2} \cdot 41 \)	\( - 2^{21} \cdot 3^{11} \cdot 11^{8} \cdot 41 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$984$	$2$	$0$	$1$	$1$		$0$	$13685760$	$2.824787$	$-488726621230609/449959048704$	$0.95104$	$4.64276$	$[0, -1, 0, -3177016, 3509426032]$	\(y^2=x^3-x^2-3177016x+3509426032\)	984.2.0.?	$[]$
259776.bk1	259776bk1	259776.bk	259776bk	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 11 \cdot 41 \)	\( - 2^{27} \cdot 3^{17} \cdot 11^{2} \cdot 41 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$984$	$2$	$0$	$1.806038835$	$1$		$4$	$7299072$	$2.521721$	$-488726621230609/449959048704$	$0.95104$	$4.31866$	$[0, 0, 0, -945228, -569351824]$	\(y^2=x^3-945228x-569351824\)	984.2.0.?	$[(1678, 50688)]$
259776.cb1	259776cb1	259776.cb	259776cb	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 11 \cdot 41 \)	\( - 2^{27} \cdot 3^{17} \cdot 11^{2} \cdot 41 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$984$	$2$	$0$	$3.527733443$	$1$		$2$	$7299072$	$2.521721$	$-488726621230609/449959048704$	$0.95104$	$4.31866$	$[0, 0, 0, -945228, 569351824]$	\(y^2=x^3-945228x+569351824\)	984.2.0.?	$[(3954, 242176)]$
332838.t1	332838t1	332838.t	332838t	$1$	$1$	\( 2 \cdot 3^{2} \cdot 11 \cdot 41^{2} \)	\( - 2^{9} \cdot 3^{17} \cdot 11^{2} \cdot 41^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$984$	$2$	$0$	$1$	$1$		$0$	$63866880$	$3.338783$	$-488726621230609/449959048704$	$0.95104$	$5.00558$	$[1, -1, 0, -24827004, -76634998448]$	\(y^2+xy=x^3-x^2-24827004x-76634998448\)	984.2.0.?	$[]$
397782.w1	397782w1	397782.w	397782w	$1$	$1$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \cdot 41 \)	\( - 2^{9} \cdot 3^{17} \cdot 7^{6} \cdot 11^{2} \cdot 41 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$984$	$2$	$0$	$3.667551266$	$1$		$8$	$10948608$	$2.454952$	$-488726621230609/449959048704$	$0.95104$	$4.11380$	$[1, -1, 0, -723690, 381602164]$	\(y^2+xy=x^3-x^2-723690x+381602164\)	984.2.0.?	$[(479, 11789), (4103/2, 210223/2)]$
457314.w1	457314w1	457314.w	457314w	$1$	$1$	\( 2 \cdot 3 \cdot 11 \cdot 13^{2} \cdot 41 \)	\( - 2^{9} \cdot 3^{11} \cdot 11^{2} \cdot 13^{6} \cdot 41 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$984$	$2$	$0$	$1$	$1$		$0$	$11119680$	$2.215168$	$-488726621230609/449959048704$	$0.95104$	$3.84900$	$[1, 0, 1, -277333, 90461984]$	\(y^2+xy+y=x^3-277333x+90461984\)	984.2.0.?	$[]$