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.v1	31200i1	31200.v	31200i	$1$	$1$	\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 13 \)	\( - 2^{12} \cdot 3^{10} \cdot 5^{10} \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$52$	$2$	$0$	$1$	$1$		$0$	$460800$	$2.043892$	$-326938350400/767637$	$0.97931$	$4.92157$	$[0, -1, 0, -490833, 132789537]$	\(y^2=x^3-x^2-490833x+132789537\)	52.2.0.a.1	$[]$
31200.w1	31200k1	31200.w	31200k	$1$	$1$	\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 13 \)	\( - 2^{12} \cdot 3^{10} \cdot 5^{4} \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$52$	$2$	$0$	$1$	$1$		$0$	$92160$	$1.239172$	$-326938350400/767637$	$0.97931$	$3.98840$	$[0, -1, 0, -19633, -1054463]$	\(y^2=x^3-x^2-19633x-1054463\)	52.2.0.a.1	$[]$
31200.bm1	31200ch1	31200.bm	31200ch	$1$	$1$	\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 13 \)	\( - 2^{12} \cdot 3^{10} \cdot 5^{4} \cdot 13 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$52$	$2$	$0$	$0.090415950$	$1$		$36$	$92160$	$1.239172$	$-326938350400/767637$	$0.97931$	$3.98840$	$[0, 1, 0, -19633, 1054463]$	\(y^2=x^3+x^2-19633x+1054463\)	52.2.0.a.1	$[(59, 324), (113, 540)]$
31200.bo1	31200cf1	31200.bo	31200cf	$1$	$1$	\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 13 \)	\( - 2^{12} \cdot 3^{10} \cdot 5^{10} \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$52$	$2$	$0$	$1$	$1$		$0$	$460800$	$2.043892$	$-326938350400/767637$	$0.97931$	$4.92157$	$[0, 1, 0, -490833, -132789537]$	\(y^2=x^3+x^2-490833x-132789537\)	52.2.0.a.1	$[]$
62400.y1	62400r1	62400.y	62400r	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 13 \)	\( - 2^{6} \cdot 3^{10} \cdot 5^{10} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$52$	$2$	$0$	$14.16831529$	$1$		$0$	$460800$	$1.697317$	$-326938350400/767637$	$0.97931$	$4.23594$	$[0, -1, 0, -122708, -16537338]$	\(y^2=x^3-x^2-122708x-16537338\)	52.2.0.a.1	$[(21329831/65, 98256630096/65)]$
62400.bh1	62400bw1	62400.bh	62400bw	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 13 \)	\( - 2^{6} \cdot 3^{10} \cdot 5^{4} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$52$	$2$	$0$	$1.869866088$	$1$		$2$	$92160$	$0.892598$	$-326938350400/767637$	$0.97931$	$3.36135$	$[0, -1, 0, -4908, 134262]$	\(y^2=x^3-x^2-4908x+134262\)	52.2.0.a.1	$[(111, 972)]$
62400.ha1	62400ds1	62400.ha	62400ds	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 13 \)	\( - 2^{6} \cdot 3^{10} \cdot 5^{4} \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$52$	$2$	$0$	$1$	$1$		$0$	$92160$	$0.892598$	$-326938350400/767637$	$0.97931$	$3.36135$	$[0, 1, 0, -4908, -134262]$	\(y^2=x^3+x^2-4908x-134262\)	52.2.0.a.1	$[]$
62400.hj1	62400cn1	62400.hj	62400cn	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 13 \)	\( - 2^{6} \cdot 3^{10} \cdot 5^{10} \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$52$	$2$	$0$	$1$	$1$		$0$	$460800$	$1.697317$	$-326938350400/767637$	$0.97931$	$4.23594$	$[0, 1, 0, -122708, 16537338]$	\(y^2=x^3+x^2-122708x+16537338\)	52.2.0.a.1	$[]$
93600.s1	93600bv1	93600.s	93600bv	$1$	$1$	\( 2^{5} \cdot 3^{2} \cdot 5^{2} \cdot 13 \)	\( - 2^{12} \cdot 3^{16} \cdot 5^{10} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$52$	$2$	$0$	$6.254604817$	$1$		$2$	$3686400$	$2.593197$	$-326938350400/767637$	$0.97931$	$5.02507$	$[0, 0, 0, -4417500, 3580900000]$	\(y^2=x^3-4417500x+3580900000\)	52.2.0.a.1	$[(3404, 167292)]$
93600.z1	93600cf1	93600.z	93600cf	$1$	$1$	\( 2^{5} \cdot 3^{2} \cdot 5^{2} \cdot 13 \)	\( - 2^{12} \cdot 3^{16} \cdot 5^{4} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$52$	$2$	$0$	$12.89643535$	$1$		$0$	$737280$	$1.788477$	$-326938350400/767637$	$0.97931$	$4.18146$	$[0, 0, 0, -176700, -28647200]$	\(y^2=x^3-176700x-28647200\)	52.2.0.a.1	$[(963341/31, 843431661/31)]$
93600.ef1	93600ex1	93600.ef	93600ex	$1$	$1$	\( 2^{5} \cdot 3^{2} \cdot 5^{2} \cdot 13 \)	\( - 2^{12} \cdot 3^{16} \cdot 5^{4} \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$52$	$2$	$0$	$1$	$1$		$0$	$737280$	$1.788477$	$-326938350400/767637$	$0.97931$	$4.18146$	$[0, 0, 0, -176700, 28647200]$	\(y^2=x^3-176700x+28647200\)	52.2.0.a.1	$[]$
93600.el1	93600el1	93600.el	93600el	$1$	$1$	\( 2^{5} \cdot 3^{2} \cdot 5^{2} \cdot 13 \)	\( - 2^{12} \cdot 3^{16} \cdot 5^{10} \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$52$	$2$	$0$	$1$	$4$	$2$	$0$	$3686400$	$2.593197$	$-326938350400/767637$	$0.97931$	$5.02507$	$[0, 0, 0, -4417500, -3580900000]$	\(y^2=x^3-4417500x-3580900000\)	52.2.0.a.1	$[]$
187200.cl1	187200it1	187200.cl	187200it	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 \)	\( - 2^{6} \cdot 3^{16} \cdot 5^{4} \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$52$	$2$	$0$	$1$	$1$		$0$	$737280$	$1.441904$	$-326938350400/767637$	$0.97931$	$3.60013$	$[0, 0, 0, -44175, -3580900]$	\(y^2=x^3-44175x-3580900\)	52.2.0.a.1	$[]$
187200.cv1	187200lf1	187200.cv	187200lf	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 \)	\( - 2^{6} \cdot 3^{16} \cdot 5^{10} \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$52$	$2$	$0$	$1$	$1$		$0$	$3686400$	$2.246624$	$-326938350400/767637$	$0.97931$	$4.39558$	$[0, 0, 0, -1104375, 447612500]$	\(y^2=x^3-1104375x+447612500\)	52.2.0.a.1	$[]$
187200.ni1	187200nt1	187200.ni	187200nt	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 \)	\( - 2^{6} \cdot 3^{16} \cdot 5^{10} \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$52$	$2$	$0$	$1$	$9$	$3$	$0$	$3686400$	$2.246624$	$-326938350400/767637$	$0.97931$	$4.39558$	$[0, 0, 0, -1104375, -447612500]$	\(y^2=x^3-1104375x-447612500\)	52.2.0.a.1	$[]$
187200.om1	187200kf1	187200.om	187200kf	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 \)	\( - 2^{6} \cdot 3^{16} \cdot 5^{4} \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$52$	$2$	$0$	$1$	$1$		$0$	$737280$	$1.441904$	$-326938350400/767637$	$0.97931$	$3.60013$	$[0, 0, 0, -44175, 3580900]$	\(y^2=x^3-44175x+3580900\)	52.2.0.a.1	$[]$
405600.t1	405600t1	405600.t	405600t	$1$	$1$	\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 13^{2} \)	\( - 2^{12} \cdot 3^{10} \cdot 5^{4} \cdot 13^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$52$	$2$	$0$	$1.885738301$	$1$		$4$	$15482880$	$2.521645$	$-326938350400/767637$	$0.97931$	$4.38796$	$[0, -1, 0, -3318033, -2329927263]$	\(y^2=x^3-x^2-3318033x-2329927263\)	52.2.0.a.1	$[(3441, 164268)]$
405600.ba1	405600ba1	405600.ba	405600ba	$1$	$1$	\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 13^{2} \)	\( - 2^{12} \cdot 3^{10} \cdot 5^{10} \cdot 13^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$52$	$2$	$0$	$1$	$1$		$0$	$77414400$	$3.326366$	$-326938350400/767637$	$0.97931$	$5.13578$	$[0, -1, 0, -82950833, 291406809537]$	\(y^2=x^3-x^2-82950833x+291406809537\)	52.2.0.a.1	$[]$
405600.gg1	405600gg1	405600.gg	405600gg	$1$	$1$	\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 13^{2} \)	\( - 2^{12} \cdot 3^{10} \cdot 5^{10} \cdot 13^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$52$	$2$	$0$	$1$	$1$		$0$	$77414400$	$3.326366$	$-326938350400/767637$	$0.97931$	$5.13578$	$[0, 1, 0, -82950833, -291406809537]$	\(y^2=x^3+x^2-82950833x-291406809537\)	52.2.0.a.1	$[]$
405600.gk1	405600gk1	405600.gk	405600gk	$1$	$1$	\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 13^{2} \)	\( - 2^{12} \cdot 3^{10} \cdot 5^{4} \cdot 13^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$52$	$2$	$0$	$1.481669694$	$1$		$2$	$15482880$	$2.521645$	$-326938350400/767637$	$0.97931$	$4.38796$	$[0, 1, 0, -3318033, 2329927263]$	\(y^2=x^3+x^2-3318033x+2329927263\)	52.2.0.a.1	$[(1122, 4563)]$