Elliptic curve search results

Results (16 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
3336.e1	3336f1	3336.e	3336f	$1$	$1$	\( 2^{3} \cdot 3 \cdot 139 \)	\( - 2^{10} \cdot 3^{3} \cdot 139 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1668$	$2$	$0$	$0.276273126$	$1$		$6$	$384$	$-0.022882$	$-12194500/3753$	$0.79234$	$2.91825$	$[0, 1, 0, -48, 144]$	\(y^2=x^3+x^2-48x+144\)	1668.2.0.?	$[(0, 12)]$
6672.e1	6672a1	6672.e	6672a	$1$	$1$	\( 2^{4} \cdot 3 \cdot 139 \)	\( - 2^{10} \cdot 3^{3} \cdot 139 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1668$	$2$	$0$	$1$	$1$		$0$	$768$	$-0.022882$	$-12194500/3753$	$0.79234$	$2.68854$	$[0, -1, 0, -48, -144]$	\(y^2=x^3-x^2-48x-144\)	1668.2.0.?	$[]$
10008.e1	10008a1	10008.e	10008a	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 139 \)	\( - 2^{10} \cdot 3^{9} \cdot 139 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1668$	$2$	$0$	$1$	$1$		$0$	$3072$	$0.526424$	$-12194500/3753$	$0.79234$	$3.28581$	$[0, 0, 0, -435, -4322]$	\(y^2=x^3-435x-4322\)	1668.2.0.?	$[]$
20016.q1	20016e1	20016.q	20016e	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 139 \)	\( - 2^{10} \cdot 3^{9} \cdot 139 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1668$	$2$	$0$	$0.530059436$	$1$		$4$	$6144$	$0.526424$	$-12194500/3753$	$0.79234$	$3.05586$	$[0, 0, 0, -435, 4322]$	\(y^2=x^3-435x+4322\)	1668.2.0.?	$[(19, 54)]$
26688.k1	26688e1	26688.k	26688e	$1$	$1$	\( 2^{6} \cdot 3 \cdot 139 \)	\( - 2^{16} \cdot 3^{3} \cdot 139 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1668$	$2$	$0$	$1.013823430$	$1$		$12$	$6144$	$0.323692$	$-12194500/3753$	$0.79234$	$2.73091$	$[0, -1, 0, -193, 1345]$	\(y^2=x^3-x^2-193x+1345\)	1668.2.0.?	$[(9, 16), (-7, 48)]$
26688.bg1	26688bg1	26688.bg	26688bg	$1$	$1$	\( 2^{6} \cdot 3 \cdot 139 \)	\( - 2^{16} \cdot 3^{3} \cdot 139 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1668$	$2$	$0$	$1.823430484$	$1$		$2$	$6144$	$0.323692$	$-12194500/3753$	$0.79234$	$2.73091$	$[0, 1, 0, -193, -1345]$	\(y^2=x^3+x^2-193x-1345\)	1668.2.0.?	$[(17, 24)]$
80064.bj1	80064bb1	80064.bj	80064bb	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 139 \)	\( - 2^{16} \cdot 3^{9} \cdot 139 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1668$	$2$	$0$	$0.900932608$	$1$		$4$	$49152$	$0.872998$	$-12194500/3753$	$0.79234$	$3.04900$	$[0, 0, 0, -1740, -34576]$	\(y^2=x^3-1740x-34576\)	1668.2.0.?	$[(70, 432)]$
80064.bk1	80064bt1	80064.bk	80064bt	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 139 \)	\( - 2^{16} \cdot 3^{9} \cdot 139 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1668$	$2$	$0$	$1.928972798$	$1$		$2$	$49152$	$0.872998$	$-12194500/3753$	$0.79234$	$3.04900$	$[0, 0, 0, -1740, 34576]$	\(y^2=x^3-1740x+34576\)	1668.2.0.?	$[(32, 108)]$
83400.c1	83400a1	83400.c	83400a	$1$	$1$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 139 \)	\( - 2^{10} \cdot 3^{3} \cdot 5^{6} \cdot 139 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1668$	$2$	$0$	$1.458257979$	$1$		$4$	$55296$	$0.781837$	$-12194500/3753$	$0.79234$	$2.94148$	$[0, -1, 0, -1208, 20412]$	\(y^2=x^3-x^2-1208x+20412\)	1668.2.0.?	$[(-38, 100)]$
163464.h1	163464i1	163464.h	163464i	$1$	$1$	\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 139 \)	\( - 2^{10} \cdot 3^{3} \cdot 7^{6} \cdot 139 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1668$	$2$	$0$	$1$	$1$		$0$	$138240$	$0.950073$	$-12194500/3753$	$0.79234$	$2.94476$	$[0, -1, 0, -2368, -54116]$	\(y^2=x^3-x^2-2368x-54116\)	1668.2.0.?	$[]$
166800.bm1	166800bw1	166800.bm	166800bw	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 139 \)	\( - 2^{10} \cdot 3^{3} \cdot 5^{6} \cdot 139 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1668$	$2$	$0$	$1.659196430$	$1$		$2$	$110592$	$0.781837$	$-12194500/3753$	$0.79234$	$2.77192$	$[0, 1, 0, -1208, -20412]$	\(y^2=x^3+x^2-1208x-20412\)	1668.2.0.?	$[(88, 750)]$
250200.bf1	250200bf1	250200.bf	250200bf	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 139 \)	\( - 2^{10} \cdot 3^{9} \cdot 5^{6} \cdot 139 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1668$	$2$	$0$	$2.084587144$	$1$		$2$	$442368$	$1.331142$	$-12194500/3753$	$0.79234$	$3.21180$	$[0, 0, 0, -10875, -540250]$	\(y^2=x^3-10875x-540250\)	1668.2.0.?	$[(715, 18900)]$
326928.ce1	326928ce1	326928.ce	326928ce	$1$	$1$	\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 139 \)	\( - 2^{10} \cdot 3^{3} \cdot 7^{6} \cdot 139 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1668$	$2$	$0$	$0.982102584$	$1$		$4$	$276480$	$0.950073$	$-12194500/3753$	$0.79234$	$2.78400$	$[0, 1, 0, -2368, 54116]$	\(y^2=x^3+x^2-2368x+54116\)	1668.2.0.?	$[(-40, 294)]$
403656.q1	403656q1	403656.q	403656q	$1$	$1$	\( 2^{3} \cdot 3 \cdot 11^{2} \cdot 139 \)	\( - 2^{10} \cdot 3^{3} \cdot 11^{6} \cdot 139 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1668$	$2$	$0$	$1$	$1$		$0$	$549120$	$1.176065$	$-12194500/3753$	$0.79234$	$2.94863$	$[0, 1, 0, -5848, -215008]$	\(y^2=x^3+x^2-5848x-215008\)	1668.2.0.?	$[]$
463704.a1	463704a1	463704.a	463704a	$1$	$1$	\( 2^{3} \cdot 3 \cdot 139^{2} \)	\( - 2^{10} \cdot 3^{3} \cdot 139^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1668$	$2$	$0$	$1$	$1$		$0$	$7418880$	$2.444355$	$-12194500/3753$	$0.79234$	$4.08379$	$[0, -1, 0, -933848, -429586692]$	\(y^2=x^3-x^2-933848x-429586692\)	1668.2.0.?	$[]$
490392.s1	490392s1	490392.s	490392s	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 7^{2} \cdot 139 \)	\( - 2^{10} \cdot 3^{9} \cdot 7^{6} \cdot 139 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1668$	$2$	$0$	$2.030855135$	$1$		$10$	$1105920$	$1.499380$	$-12194500/3753$	$0.79234$	$3.20092$	$[0, 0, 0, -21315, 1482446]$	\(y^2=x^3-21315x+1482446\)	1668.2.0.?	$[(175, 1764), (79, 540)]$