Elliptic curve search results

Results (20 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
31200.m1	31200bk1	31200.m	31200bk	$1$	$1$	\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 13 \)	\( - 2^{12} \cdot 3^{2} \cdot 5^{2} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$52$	$2$	$0$	$0.390844233$	$1$		$6$	$6144$	$0.044900$	$109760/117$	$0.74223$	$2.23640$	$[0, -1, 0, 47, 97]$	\(y^2=x^3-x^2+47x+97\)	52.2.0.a.1	$[(1, 12)]$
31200.p1	31200br1	31200.p	31200br	$1$	$1$	\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 13 \)	\( - 2^{12} \cdot 3^{2} \cdot 5^{8} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$52$	$2$	$0$	$0.407494165$	$1$		$6$	$30720$	$0.849619$	$109760/117$	$0.74223$	$3.16958$	$[0, -1, 0, 1167, -14463]$	\(y^2=x^3-x^2+1167x-14463\)	52.2.0.a.1	$[(17, 100)]$
31200.bu1	31200z1	31200.bu	31200z	$1$	$1$	\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 13 \)	\( - 2^{12} \cdot 3^{2} \cdot 5^{8} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$52$	$2$	$0$	$0.726997770$	$1$		$2$	$30720$	$0.849619$	$109760/117$	$0.74223$	$3.16958$	$[0, 1, 0, 1167, 14463]$	\(y^2=x^3+x^2+1167x+14463\)	52.2.0.a.1	$[(33, 300)]$
31200.bx1	31200u1	31200.bx	31200u	$1$	$1$	\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 13 \)	\( - 2^{12} \cdot 3^{2} \cdot 5^{2} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$52$	$2$	$0$	$1.519337788$	$1$		$2$	$6144$	$0.044900$	$109760/117$	$0.74223$	$2.23640$	$[0, 1, 0, 47, -97]$	\(y^2=x^3+x^2+47x-97\)	52.2.0.a.1	$[(2, 3)]$
62400.bs1	62400g1	62400.bs	62400g	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 13 \)	\( - 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$52$	$2$	$0$	$1.083224315$	$1$		$2$	$6144$	$-0.301674$	$109760/117$	$0.74223$	$1.71934$	$[0, -1, 0, 12, -18]$	\(y^2=x^3-x^2+12x-18\)	52.2.0.a.1	$[(3, 6)]$
62400.cg1	62400bu1	62400.cg	62400bu	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 13 \)	\( - 2^{6} \cdot 3^{2} \cdot 5^{8} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$52$	$2$	$0$	$2.720073314$	$1$		$2$	$30720$	$0.503045$	$109760/117$	$0.74223$	$2.59393$	$[0, -1, 0, 292, 1662]$	\(y^2=x^3-x^2+292x+1662\)	52.2.0.a.1	$[(11, 78)]$
62400.gc1	62400dp1	62400.gc	62400dp	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 13 \)	\( - 2^{6} \cdot 3^{2} \cdot 5^{8} \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$52$	$2$	$0$	$1$	$1$		$0$	$30720$	$0.503045$	$109760/117$	$0.74223$	$2.59393$	$[0, 1, 0, 292, -1662]$	\(y^2=x^3+x^2+292x-1662\)	52.2.0.a.1	$[]$
62400.go1	62400ce1	62400.go	62400ce	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 13 \)	\( - 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$52$	$2$	$0$	$1$	$1$		$0$	$6144$	$-0.301674$	$109760/117$	$0.74223$	$1.71934$	$[0, 1, 0, 12, 18]$	\(y^2=x^3+x^2+12x+18\)	52.2.0.a.1	$[]$
93600.by1	93600ea1	93600.by	93600ea	$1$	$1$	\( 2^{5} \cdot 3^{2} \cdot 5^{2} \cdot 13 \)	\( - 2^{12} \cdot 3^{8} \cdot 5^{2} \cdot 13 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$52$	$2$	$0$	$1.564482493$	$1$		$10$	$49152$	$0.594206$	$109760/117$	$0.74223$	$2.59762$	$[0, 0, 0, 420, 3040]$	\(y^2=x^3+420x+3040\)	52.2.0.a.1	$[(14, 108), (-4, 36)]$
93600.ce1	93600eu1	93600.ce	93600eu	$1$	$1$	\( 2^{5} \cdot 3^{2} \cdot 5^{2} \cdot 13 \)	\( - 2^{12} \cdot 3^{8} \cdot 5^{8} \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$52$	$2$	$0$	$1$	$1$		$0$	$245760$	$1.398926$	$109760/117$	$0.74223$	$3.44123$	$[0, 0, 0, 10500, -380000]$	\(y^2=x^3+10500x-380000\)	52.2.0.a.1	$[]$
93600.cz1	93600ca1	93600.cz	93600ca	$1$	$1$	\( 2^{5} \cdot 3^{2} \cdot 5^{2} \cdot 13 \)	\( - 2^{12} \cdot 3^{8} \cdot 5^{8} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$52$	$2$	$0$	$3.706930318$	$1$		$2$	$245760$	$1.398926$	$109760/117$	$0.74223$	$3.44123$	$[0, 0, 0, 10500, 380000]$	\(y^2=x^3+10500x+380000\)	52.2.0.a.1	$[(-11, 513)]$
93600.df1	93600bk1	93600.df	93600bk	$1$	$1$	\( 2^{5} \cdot 3^{2} \cdot 5^{2} \cdot 13 \)	\( - 2^{12} \cdot 3^{8} \cdot 5^{2} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$52$	$2$	$0$	$2.676996467$	$1$		$2$	$49152$	$0.594206$	$109760/117$	$0.74223$	$2.59762$	$[0, 0, 0, 420, -3040]$	\(y^2=x^3+420x-3040\)	52.2.0.a.1	$[(76, 684)]$
187200.ft1	187200jb1	187200.ft	187200jb	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 \)	\( - 2^{6} \cdot 3^{8} \cdot 5^{8} \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$52$	$2$	$0$	$1$	$1$		$0$	$245760$	$1.052351$	$109760/117$	$0.74223$	$2.90217$	$[0, 0, 0, 2625, -47500]$	\(y^2=x^3+2625x-47500\)	52.2.0.a.1	$[]$
187200.gt1	187200lz1	187200.gt	187200lz	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 \)	\( - 2^{6} \cdot 3^{8} \cdot 5^{2} \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$52$	$2$	$0$	$1$	$1$		$0$	$49152$	$0.247633$	$109760/117$	$0.74223$	$2.10672$	$[0, 0, 0, 105, 380]$	\(y^2=x^3+105x+380\)	52.2.0.a.1	$[]$
187200.js1	187200mw1	187200.js	187200mw	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 \)	\( - 2^{6} \cdot 3^{8} \cdot 5^{2} \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$52$	$2$	$0$	$1$	$1$		$0$	$49152$	$0.247633$	$109760/117$	$0.74223$	$2.10672$	$[0, 0, 0, 105, -380]$	\(y^2=x^3+105x-380\)	52.2.0.a.1	$[]$
187200.kw1	187200jw1	187200.kw	187200jw	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 \)	\( - 2^{6} \cdot 3^{8} \cdot 5^{8} \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$52$	$2$	$0$	$1$	$1$		$0$	$245760$	$1.052351$	$109760/117$	$0.74223$	$2.90217$	$[0, 0, 0, 2625, 47500]$	\(y^2=x^3+2625x+47500\)	52.2.0.a.1	$[]$
405600.bl1	405600bl1	405600.bl	405600bl	$1$	$1$	\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 13^{2} \)	\( - 2^{12} \cdot 3^{2} \cdot 5^{8} \cdot 13^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$52$	$2$	$0$	$1$	$1$		$0$	$5160960$	$2.132095$	$109760/117$	$0.74223$	$3.73179$	$[0, -1, 0, 197167, -30986463]$	\(y^2=x^3-x^2+197167x-30986463\)	52.2.0.a.1	$[]$
405600.bv1	405600bv1	405600.bv	405600bv	$1$	$1$	\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 13^{2} \)	\( - 2^{12} \cdot 3^{2} \cdot 5^{2} \cdot 13^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$52$	$2$	$0$	$1.254610082$	$1$		$2$	$1032192$	$1.327375$	$109760/117$	$0.74223$	$2.98397$	$[0, -1, 0, 7887, 244737]$	\(y^2=x^3-x^2+7887x+244737\)	52.2.0.a.1	$[(243, 4056)]$
405600.fk1	405600fk1	405600.fk	405600fk	$1$	$1$	\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 13^{2} \)	\( - 2^{12} \cdot 3^{2} \cdot 5^{2} \cdot 13^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$52$	$2$	$0$	$0.983396209$	$1$		$4$	$1032192$	$1.327375$	$109760/117$	$0.74223$	$2.98397$	$[0, 1, 0, 7887, -244737]$	\(y^2=x^3+x^2+7887x-244737\)	52.2.0.a.1	$[(147, 2028)]$
405600.fu1	405600fu1	405600.fu	405600fu	$1$	$1$	\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 13^{2} \)	\( - 2^{12} \cdot 3^{2} \cdot 5^{8} \cdot 13^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$52$	$2$	$0$	$1$	$1$		$0$	$5160960$	$2.132095$	$109760/117$	$0.74223$	$3.73179$	$[0, 1, 0, 197167, 30986463]$	\(y^2=x^3+x^2+197167x+30986463\)	52.2.0.a.1	$[]$