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
7524.a1	7524b1	7524.a	7524b	$1$	$1$	\( 2^{2} \cdot 3^{2} \cdot 11 \cdot 19 \)	\( - 2^{8} \cdot 3^{3} \cdot 11 \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1254$	$2$	$0$	$0.291539333$	$1$		$6$	$1056$	$-0.130892$	$221184/209$	$0.74885$	$2.36927$	$[0, 0, 0, 24, 36]$	\(y^2=x^3+24x+36\)	1254.2.0.?	$[(0, 6)]$
7524.g1	7524d1	7524.g	7524d	$1$	$1$	\( 2^{2} \cdot 3^{2} \cdot 11 \cdot 19 \)	\( - 2^{8} \cdot 3^{9} \cdot 11 \cdot 19 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1254$	$2$	$0$	$1$	$1$		$0$	$3168$	$0.418414$	$221184/209$	$0.74885$	$3.10776$	$[0, 0, 0, 216, -972]$	\(y^2=x^3+216x-972\)	1254.2.0.?	$[]$
30096.k1	30096o1	30096.k	30096o	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 19 \)	\( - 2^{8} \cdot 3^{3} \cdot 11 \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1254$	$2$	$0$	$0.975285226$	$1$		$2$	$4224$	$-0.130892$	$221184/209$	$0.74885$	$2.05076$	$[0, 0, 0, 24, -36]$	\(y^2=x^3+24x-36\)	1254.2.0.?	$[(6, 18)]$
30096.bf1	30096k1	30096.bf	30096k	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 19 \)	\( - 2^{8} \cdot 3^{9} \cdot 11 \cdot 19 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1254$	$2$	$0$	$1$	$1$		$0$	$12672$	$0.418414$	$221184/209$	$0.74885$	$2.68998$	$[0, 0, 0, 216, 972]$	\(y^2=x^3+216x+972\)	1254.2.0.?	$[]$
82764.e1	82764b1	82764.e	82764b	$1$	$1$	\( 2^{2} \cdot 3^{2} \cdot 11^{2} \cdot 19 \)	\( - 2^{8} \cdot 3^{3} \cdot 11^{7} \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1254$	$2$	$0$	$3.867289089$	$1$		$2$	$126720$	$1.068056$	$221184/209$	$0.74885$	$3.13811$	$[0, 0, 0, 2904, -47916]$	\(y^2=x^3+2904x-47916\)	1254.2.0.?	$[(45, 417)]$
82764.m1	82764a1	82764.m	82764a	$1$	$1$	\( 2^{2} \cdot 3^{2} \cdot 11^{2} \cdot 19 \)	\( - 2^{8} \cdot 3^{9} \cdot 11^{7} \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1254$	$2$	$0$	$1.274060076$	$1$		$4$	$380160$	$1.617361$	$221184/209$	$0.74885$	$3.72022$	$[0, 0, 0, 26136, 1293732]$	\(y^2=x^3+26136x+1293732\)	1254.2.0.?	$[(-44, 242)]$
120384.l1	120384a1	120384.l	120384a	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 11 \cdot 19 \)	\( - 2^{14} \cdot 3^{9} \cdot 11 \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1254$	$2$	$0$	$1.854641758$	$1$		$2$	$101376$	$0.764988$	$221184/209$	$0.74885$	$2.72672$	$[0, 0, 0, 864, -7776]$	\(y^2=x^3+864x-7776\)	1254.2.0.?	$[(9, 27)]$
120384.bg1	120384ck1	120384.bg	120384ck	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 11 \cdot 19 \)	\( - 2^{14} \cdot 3^{9} \cdot 11 \cdot 19 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1254$	$2$	$0$	$1$	$1$		$0$	$101376$	$0.764988$	$221184/209$	$0.74885$	$2.72672$	$[0, 0, 0, 864, 7776]$	\(y^2=x^3+864x+7776\)	1254.2.0.?	$[]$
120384.cp1	120384f1	120384.cp	120384f	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 11 \cdot 19 \)	\( - 2^{14} \cdot 3^{3} \cdot 11 \cdot 19 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1254$	$2$	$0$	$1$	$1$		$0$	$33792$	$0.215682$	$221184/209$	$0.74885$	$2.16325$	$[0, 0, 0, 96, 288]$	\(y^2=x^3+96x+288\)	1254.2.0.?	$[]$
120384.dj1	120384cd1	120384.dj	120384cd	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 11 \cdot 19 \)	\( - 2^{14} \cdot 3^{3} \cdot 11 \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1254$	$2$	$0$	$4.777301556$	$1$		$2$	$33792$	$0.215682$	$221184/209$	$0.74885$	$2.16325$	$[0, 0, 0, 96, -288]$	\(y^2=x^3+96x-288\)	1254.2.0.?	$[(201, 2853)]$
142956.k1	142956ba1	142956.k	142956ba	$1$	$1$	\( 2^{2} \cdot 3^{2} \cdot 11 \cdot 19^{2} \)	\( - 2^{8} \cdot 3^{3} \cdot 11 \cdot 19^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1254$	$2$	$0$	$1.575584473$	$1$		$2$	$380160$	$1.341328$	$221184/209$	$0.74885$	$3.26988$	$[0, 0, 0, 8664, -246924]$	\(y^2=x^3+8664x-246924\)	1254.2.0.?	$[(133, 1805)]$
142956.bc1	142956bf1	142956.bc	142956bf	$1$	$1$	\( 2^{2} \cdot 3^{2} \cdot 11 \cdot 19^{2} \)	\( - 2^{8} \cdot 3^{9} \cdot 11 \cdot 19^{7} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1254$	$2$	$0$	$2.274630566$	$1$		$8$	$1140480$	$1.890635$	$221184/209$	$0.74885$	$3.82519$	$[0, 0, 0, 77976, 6666948]$	\(y^2=x^3+77976x+6666948\)	1254.2.0.?	$[(684, 19494), (1216/5, 406486/5)]$
188100.cx1	188100dc1	188100.cx	188100dc	$1$	$1$	\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 19 \)	\( - 2^{8} \cdot 3^{3} \cdot 5^{6} \cdot 11 \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1254$	$2$	$0$	$2.561562273$	$1$		$0$	$135168$	$0.673827$	$221184/209$	$0.74885$	$2.53644$	$[0, 0, 0, 600, 4500]$	\(y^2=x^3+600x+4500\)	1254.2.0.?	$[(-15/2, 375/2)]$
188100.da1	188100da1	188100.da	188100da	$1$	$1$	\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 19 \)	\( - 2^{8} \cdot 3^{9} \cdot 5^{6} \cdot 11 \cdot 19 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1254$	$2$	$0$	$1$	$1$		$0$	$405504$	$1.223133$	$221184/209$	$0.74885$	$3.07920$	$[0, 0, 0, 5400, -121500]$	\(y^2=x^3+5400x-121500\)	1254.2.0.?	$[]$
331056.v1	331056v1	331056.v	331056v	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 11^{2} \cdot 19 \)	\( - 2^{8} \cdot 3^{3} \cdot 11^{7} \cdot 19 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1254$	$2$	$0$	$1.237384032$	$1$		$8$	$506880$	$1.068056$	$221184/209$	$0.74885$	$2.79583$	$[0, 0, 0, 2904, 47916]$	\(y^2=x^3+2904x+47916\)	1254.2.0.?	$[(66, 726), (-6, 174)]$
331056.dy1	331056dy1	331056.dy	331056dy	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 11^{2} \cdot 19 \)	\( - 2^{8} \cdot 3^{9} \cdot 11^{7} \cdot 19 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1254$	$2$	$0$	$1$	$1$		$0$	$1520640$	$1.617361$	$221184/209$	$0.74885$	$3.31445$	$[0, 0, 0, 26136, -1293732]$	\(y^2=x^3+26136x-1293732\)	1254.2.0.?	$[]$
368676.n1	368676n1	368676.n	368676n	$1$	$1$	\( 2^{2} \cdot 3^{2} \cdot 7^{2} \cdot 11 \cdot 19 \)	\( - 2^{8} \cdot 3^{9} \cdot 7^{6} \cdot 11 \cdot 19 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1254$	$2$	$0$	$1$	$1$		$0$	$912384$	$1.391369$	$221184/209$	$0.74885$	$3.07504$	$[0, 0, 0, 10584, 333396]$	\(y^2=x^3+10584x+333396\)	1254.2.0.?	$[]$
368676.bv1	368676bv1	368676.bv	368676bv	$1$	$1$	\( 2^{2} \cdot 3^{2} \cdot 7^{2} \cdot 11 \cdot 19 \)	\( - 2^{8} \cdot 3^{3} \cdot 7^{6} \cdot 11 \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1254$	$2$	$0$	$1.344085092$	$1$		$2$	$304128$	$0.842063$	$221184/209$	$0.74885$	$2.56078$	$[0, 0, 0, 1176, -12348]$	\(y^2=x^3+1176x-12348\)	1254.2.0.?	$[(21, 147)]$