Elliptic curve search results

Results (26 matches)

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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	Intrinsic torsion order	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators	Manin constant
7260.g1	7260j1	7260.g	7260j	$1$	$1$	\( 2^{2} \cdot 3 \cdot 5 \cdot 11^{2} \)	\( - 2^{8} \cdot 3^{3} \cdot 5^{2} \cdot 11^{4} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$1$	$1$		$0$	$4320$	$0.549124$	$-7929856/675$	$1.01135$	$3.50502$	$1$	$[0, -1, 0, -645, -6543]$	\(y^2=x^3-x^2-645x-6543\)	6.2.0.a.1	$[ ]$	$1$
7260.j1	7260i1	7260.j	7260i	$1$	$1$	\( 2^{2} \cdot 3 \cdot 5 \cdot 11^{2} \)	\( - 2^{8} \cdot 3^{3} \cdot 5^{2} \cdot 11^{10} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$1$	$1$		$0$	$47520$	$1.748072$	$-7929856/675$	$1.01135$	$5.12338$	$1$	$[0, -1, 0, -78085, 9021025]$	\(y^2=x^3-x^2-78085x+9021025\)	6.2.0.a.1	$[ ]$	$1$
21780.a1	21780m1	21780.a	21780m	$1$	$1$	\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 11^{2} \)	\( - 2^{8} \cdot 3^{9} \cdot 5^{2} \cdot 11^{4} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$0.114818408$	$1$		$28$	$34560$	$1.098431$	$-7929856/675$	$1.01135$	$3.77943$	$1$	$[0, 0, 0, -5808, 182468]$	\(y^2=x^3-5808x+182468\)	6.2.0.a.1	$[(-44, 594), (64, 270)]$	$1$
21780.k1	21780l1	21780.k	21780l	$1$	$1$	\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 11^{2} \)	\( - 2^{8} \cdot 3^{9} \cdot 5^{2} \cdot 11^{10} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$1$	$4$	$2$	$0$	$380160$	$2.297379$	$-7929856/675$	$1.01135$	$5.21979$	$1$	$[0, 0, 0, -702768, -242864908]$	\(y^2=x^3-702768x-242864908\)	6.2.0.a.1	$[ ]$	$1$
29040.cz1	29040dp1	29040.cz	29040dp	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \)	\( - 2^{8} \cdot 3^{3} \cdot 5^{2} \cdot 11^{10} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$3.982667218$	$1$		$2$	$190080$	$1.748072$	$-7929856/675$	$1.01135$	$4.43223$	$1$	$[0, 1, 0, -78085, -9021025]$	\(y^2=x^3+x^2-78085x-9021025\)	6.2.0.a.1	$[(335, 1590)]$	$1$
29040.dm1	29040dn1	29040.dm	29040dn	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \)	\( - 2^{8} \cdot 3^{3} \cdot 5^{2} \cdot 11^{4} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$0.154258280$	$1$		$6$	$17280$	$0.549124$	$-7929856/675$	$1.01135$	$3.03219$	$1$	$[0, 1, 0, -645, 6543]$	\(y^2=x^3+x^2-645x+6543\)	6.2.0.a.1	$[(51, 330)]$	$1$
36300.bj1	36300bw1	36300.bj	36300bw	$1$	$1$	\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 11^{2} \)	\( - 2^{8} \cdot 3^{3} \cdot 5^{8} \cdot 11^{10} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$1$	$1$		$0$	$1140480$	$2.552792$	$-7929856/675$	$1.01135$	$5.25775$	$1$	$[0, 1, 0, -1952133, 1123723863]$	\(y^2=x^3+x^2-1952133x+1123723863\)	6.2.0.a.1	$[ ]$	$1$
36300.cj1	36300bt1	36300.cj	36300bt	$1$	$1$	\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 11^{2} \)	\( - 2^{8} \cdot 3^{3} \cdot 5^{8} \cdot 11^{4} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$1$	$1$		$0$	$103680$	$1.353844$	$-7929856/675$	$1.01135$	$3.88747$	$1$	$[0, 1, 0, -16133, -850137]$	\(y^2=x^3+x^2-16133x-850137\)	6.2.0.a.1	$[ ]$	$1$
87120.s1	87120eu1	87120.s	87120eu	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11^{2} \)	\( - 2^{8} \cdot 3^{9} \cdot 5^{2} \cdot 11^{10} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$1$	$1$		$0$	$1520640$	$2.297379$	$-7929856/675$	$1.01135$	$4.58365$	$1$	$[0, 0, 0, -702768, 242864908]$	\(y^2=x^3-702768x+242864908\)	6.2.0.a.1	$[ ]$	$1$
87120.ck1	87120ep1	87120.ck	87120ep	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11^{2} \)	\( - 2^{8} \cdot 3^{9} \cdot 5^{2} \cdot 11^{4} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$1$	$1$		$0$	$138240$	$1.098431$	$-7929856/675$	$1.01135$	$3.31883$	$1$	$[0, 0, 0, -5808, -182468]$	\(y^2=x^3-5808x-182468\)	6.2.0.a.1	$[ ]$	$1$
108900.n1	108900cq1	108900.n	108900cq	$1$	$1$	\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \)	\( - 2^{8} \cdot 3^{9} \cdot 5^{8} \cdot 11^{10} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$1$	$1$		$0$	$9123840$	$3.102097$	$-7929856/675$	$1.01135$	$5.32806$	$1$	$[0, 0, 0, -17569200, -30358113500]$	\(y^2=x^3-17569200x-30358113500\)	6.2.0.a.1	$[ ]$	$1$
108900.do1	108900cn1	108900.do	108900cn	$1$	$1$	\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \)	\( - 2^{8} \cdot 3^{9} \cdot 5^{8} \cdot 11^{4} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$1$	$1$		$0$	$829440$	$1.903149$	$-7929856/675$	$1.01135$	$4.08757$	$1$	$[0, 0, 0, -145200, 22808500]$	\(y^2=x^3-145200x+22808500\)	6.2.0.a.1	$[ ]$	$1$
116160.h1	116160ft1	116160.h	116160ft	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5 \cdot 11^{2} \)	\( - 2^{14} \cdot 3^{3} \cdot 5^{2} \cdot 11^{10} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$13.19466517$	$1$		$0$	$1520640$	$2.094646$	$-7929856/675$	$1.01135$	$4.26199$	$1$	$[0, -1, 0, -312341, -71855859]$	\(y^2=x^3-x^2-312341x-71855859\)	6.2.0.a.1	$[(845524/33, 444639365/33)]$	$1$
116160.cb1	116160fq1	116160.cb	116160fq	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5 \cdot 11^{2} \)	\( - 2^{14} \cdot 3^{3} \cdot 5^{2} \cdot 11^{4} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$3.457830715$	$1$		$2$	$138240$	$0.895698$	$-7929856/675$	$1.01135$	$3.02837$	$1$	$[0, -1, 0, -2581, 54925]$	\(y^2=x^3-x^2-2581x+54925\)	6.2.0.a.1	$[(68, 435)]$	$1$
116160.fg1	116160dn1	116160.fg	116160dn	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5 \cdot 11^{2} \)	\( - 2^{14} \cdot 3^{3} \cdot 5^{2} \cdot 11^{4} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$1.387364777$	$1$		$2$	$138240$	$0.895698$	$-7929856/675$	$1.01135$	$3.02837$	$1$	$[0, 1, 0, -2581, -54925]$	\(y^2=x^3+x^2-2581x-54925\)	6.2.0.a.1	$[(62, 165)]$	$1$
116160.gs1	116160dk1	116160.gs	116160dk	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5 \cdot 11^{2} \)	\( - 2^{14} \cdot 3^{3} \cdot 5^{2} \cdot 11^{10} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$4.498170103$	$1$		$2$	$1520640$	$2.094646$	$-7929856/675$	$1.01135$	$4.26199$	$1$	$[0, 1, 0, -312341, 71855859]$	\(y^2=x^3+x^2-312341x+71855859\)	6.2.0.a.1	$[(214, 3855)]$	$1$
145200.bf1	145200fe1	145200.bf	145200fe	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11^{2} \)	\( - 2^{8} \cdot 3^{3} \cdot 5^{8} \cdot 11^{4} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$0.740721702$	$1$		$6$	$414720$	$1.353844$	$-7929856/675$	$1.01135$	$3.43406$	$1$	$[0, -1, 0, -16133, 850137]$	\(y^2=x^3-x^2-16133x+850137\)	6.2.0.a.1	$[(37, 550)]$	$1$
145200.ej1	145200gc1	145200.ej	145200gc	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11^{2} \)	\( - 2^{8} \cdot 3^{3} \cdot 5^{8} \cdot 11^{10} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$26.84525314$	$1$		$0$	$4561920$	$2.552792$	$-7929856/675$	$1.01135$	$4.64452$	$1$	$[0, -1, 0, -1952133, -1123723863]$	\(y^2=x^3-x^2-1952133x-1123723863\)	6.2.0.a.1	$[(3092738916497/42299, 1949691628828153750/42299)]$	$1$
348480.jv1	348480jv1	348480.jv	348480jv	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11^{2} \)	\( - 2^{14} \cdot 3^{9} \cdot 5^{2} \cdot 11^{10} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$5.421717231$	$1$		$2$	$12165120$	$2.643951$	$-7929856/675$	$1.01135$	$4.41161$	$1$	$[0, 0, 0, -2811072, 1942919264]$	\(y^2=x^3-2811072x+1942919264\)	6.2.0.a.1	$[(1489, 32535)]$	$1$
348480.kr1	348480kr1	348480.kr	348480kr	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11^{2} \)	\( - 2^{14} \cdot 3^{9} \cdot 5^{2} \cdot 11^{4} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$1$	$1$		$0$	$1105920$	$1.445004$	$-7929856/675$	$1.01135$	$3.28419$	$1$	$[0, 0, 0, -23232, 1459744]$	\(y^2=x^3-23232x+1459744\)	6.2.0.a.1	$[ ]$	$1$
348480.pt1	348480pt1	348480.pt	348480pt	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11^{2} \)	\( - 2^{14} \cdot 3^{9} \cdot 5^{2} \cdot 11^{10} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$1$	$9$	$3$	$0$	$12165120$	$2.643951$	$-7929856/675$	$1.01135$	$4.41161$	$1$	$[0, 0, 0, -2811072, -1942919264]$	\(y^2=x^3-2811072x-1942919264\)	6.2.0.a.1	$[ ]$	$1$
348480.qp1	348480qp1	348480.qp	348480qp	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11^{2} \)	\( - 2^{14} \cdot 3^{9} \cdot 5^{2} \cdot 11^{4} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$2.640505729$	$1$		$2$	$1105920$	$1.445004$	$-7929856/675$	$1.01135$	$3.28419$	$1$	$[0, 0, 0, -23232, -1459744]$	\(y^2=x^3-23232x-1459744\)	6.2.0.a.1	$[(385, 6831)]$	$1$
355740.cj1	355740cj1	355740.cj	355740cj	$1$	$1$	\( 2^{2} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11^{2} \)	\( - 2^{8} \cdot 3^{3} \cdot 5^{2} \cdot 7^{6} \cdot 11^{10} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$9.132814311$	$1$		$0$	$15681600$	$2.721027$	$-7929856/675$	$1.01135$	$4.47686$	$1$	$[0, 1, 0, -3826181, -3086559225]$	\(y^2=x^3+x^2-3826181x-3086559225\)	6.2.0.a.1	$[(41833/3, 7616330/3)]$	$1$
355740.ds1	355740ds1	355740.ds	355740ds	$1$	$1$	\( 2^{2} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11^{2} \)	\( - 2^{8} \cdot 3^{3} \cdot 5^{2} \cdot 7^{6} \cdot 11^{4} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$3.320575548$	$1$		$2$	$1425600$	$1.522079$	$-7929856/675$	$1.01135$	$3.35126$	$1$	$[0, 1, 0, -31621, 2307479]$	\(y^2=x^3+x^2-31621x+2307479\)	6.2.0.a.1	$[(74, 615)]$	$1$
435600.eg1	435600eg1	435600.eg	435600eg	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \)	\( - 2^{8} \cdot 3^{9} \cdot 5^{8} \cdot 11^{4} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$1$	$1$		$0$	$3317760$	$1.903149$	$-7929856/675$	$1.01135$	$3.65116$	$1$	$[0, 0, 0, -145200, -22808500]$	\(y^2=x^3-145200x-22808500\)	6.2.0.a.1	$[ ]$	$1$
435600.qk1	435600qk1	435600.qk	435600qk	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \)	\( - 2^{8} \cdot 3^{9} \cdot 5^{8} \cdot 11^{10} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$1$	$1$		$0$	$36495360$	$3.102097$	$-7929856/675$	$1.01135$	$4.75921$	$1$	$[0, 0, 0, -17569200, 30358113500]$	\(y^2=x^3-17569200x+30358113500\)	6.2.0.a.1	$[ ]$	$1$

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