Elliptic curve search results

Results (14 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
10115.j1	10115l1	10115.j	10115l	$1$	$1$	\( 5 \cdot 7 \cdot 17^{2} \)	\( 5^{8} \cdot 7 \cdot 17^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$28$	$2$	$0$	$0.465808762$	$1$		$2$	$5184$	$0.402950$	$6161940649/2734375$	$0.89123$	$3.05886$	$[1, 1, 0, -252, -851]$	\(y^2+xy=x^3+x^2-252x-851\)	28.2.0.a.1	$[(-12, 31)]$
10115.k1	10115c1	10115.k	10115c	$1$	$1$	\( 5 \cdot 7 \cdot 17^{2} \)	\( 5^{8} \cdot 7 \cdot 17^{8} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$28$	$2$	$0$	$4.026687761$	$1$		$2$	$88128$	$1.819557$	$6161940649/2734375$	$0.89123$	$4.90224$	$[1, 0, 1, -72979, -3670469]$	\(y^2+xy+y=x^3-72979x-3670469\)	28.2.0.a.1	$[(3203, 179023), (-313/2, 10309/2)]$
50575.h1	50575v1	50575.h	50575v	$1$	$1$	\( 5^{2} \cdot 7 \cdot 17^{2} \)	\( 5^{14} \cdot 7 \cdot 17^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$28$	$2$	$0$	$7.355791330$	$1$		$2$	$2115072$	$2.624275$	$6161940649/2734375$	$0.89123$	$5.06536$	$[1, 1, 1, -1824463, -458808594]$	\(y^2+xy+y=x^3+x^2-1824463x-458808594\)	28.2.0.a.1	$[(-1146, 11913)]$
50575.k1	50575c1	50575.k	50575c	$1$	$1$	\( 5^{2} \cdot 7 \cdot 17^{2} \)	\( 5^{14} \cdot 7 \cdot 17^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$28$	$2$	$0$	$4.527788015$	$1$		$2$	$124416$	$1.207668$	$6161940649/2734375$	$0.89123$	$3.49589$	$[1, 0, 0, -6313, -93758]$	\(y^2+xy=x^3-6313x-93758\)	28.2.0.a.1	$[(-69, 155)]$
70805.bk1	70805bp1	70805.bk	70805bp	$1$	$1$	\( 5 \cdot 7^{2} \cdot 17^{2} \)	\( 5^{8} \cdot 7^{7} \cdot 17^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$28$	$2$	$0$	$1$	$1$		$0$	$4230144$	$2.792511$	$6161940649/2734375$	$0.89123$	$5.09352$	$[1, 1, 0, -3575947, 1255394834]$	\(y^2+xy=x^3+x^2-3575947x+1255394834\)	28.2.0.a.1	$[]$
70805.bn1	70805i1	70805.bn	70805i	$1$	$1$	\( 5 \cdot 7^{2} \cdot 17^{2} \)	\( 5^{8} \cdot 7^{7} \cdot 17^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$28$	$2$	$0$	$1$	$1$		$0$	$248832$	$1.375904$	$6161940649/2734375$	$0.89123$	$3.57134$	$[1, 0, 1, -12374, 254797]$	\(y^2+xy+y=x^3-12374x+254797\)	28.2.0.a.1	$[]$
91035.l1	91035z1	91035.l	91035z	$1$	$1$	\( 3^{2} \cdot 5 \cdot 7 \cdot 17^{2} \)	\( 3^{6} \cdot 5^{8} \cdot 7 \cdot 17^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$28$	$2$	$0$	$1.086673473$	$1$		$4$	$155520$	$0.952256$	$6161940649/2734375$	$0.89123$	$3.04753$	$[1, -1, 1, -2273, 20706]$	\(y^2+xy+y=x^3-x^2-2273x+20706\)	28.2.0.a.1	$[(60, 282)]$
91035.u1	91035bm1	91035.u	91035bm	$1$	$1$	\( 3^{2} \cdot 5 \cdot 7 \cdot 17^{2} \)	\( 3^{6} \cdot 5^{8} \cdot 7 \cdot 17^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$28$	$2$	$0$	$1$	$1$		$0$	$2643840$	$2.368862$	$6161940649/2734375$	$0.89123$	$4.53622$	$[1, -1, 1, -656807, 99102656]$	\(y^2+xy+y=x^3-x^2-656807x+99102656\)	28.2.0.a.1	$[]$
161840.m1	161840m1	161840.m	161840m	$1$	$1$	\( 2^{4} \cdot 5 \cdot 7 \cdot 17^{2} \)	\( 2^{12} \cdot 5^{8} \cdot 7 \cdot 17^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$28$	$2$	$0$	$1$	$1$		$0$	$5640192$	$2.512703$	$6161940649/2734375$	$0.89123$	$4.46252$	$[0, -1, 0, -1167656, 234910000]$	\(y^2=x^3-x^2-1167656x+234910000\)	28.2.0.a.1	$[]$
161840.bw1	161840bg1	161840.bw	161840bg	$1$	$1$	\( 2^{4} \cdot 5 \cdot 7 \cdot 17^{2} \)	\( 2^{12} \cdot 5^{8} \cdot 7 \cdot 17^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$28$	$2$	$0$	$0.521753015$	$1$		$4$	$331776$	$1.096096$	$6161940649/2734375$	$0.89123$	$3.04525$	$[0, 1, 0, -4040, 46388]$	\(y^2=x^3+x^2-4040x+46388\)	28.2.0.a.1	$[(-4, 250)]$
354025.n1	354025n1	354025.n	354025n	$1$	$1$	\( 5^{2} \cdot 7^{2} \cdot 17^{2} \)	\( 5^{14} \cdot 7^{7} \cdot 17^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$28$	$2$	$0$	$1$	$1$		$0$	$5971968$	$2.180622$	$6161940649/2734375$	$0.89123$	$3.87726$	$[1, 1, 1, -309338, 31849656]$	\(y^2+xy+y=x^3+x^2-309338x+31849656\)	28.2.0.a.1	$[]$
354025.r1	354025r1	354025.r	354025r	$1$	$1$	\( 5^{2} \cdot 7^{2} \cdot 17^{2} \)	\( 5^{14} \cdot 7^{7} \cdot 17^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$28$	$2$	$0$	$1.572945956$	$1$		$2$	$101523456$	$3.597229$	$6161940649/2734375$	$0.89123$	$5.20770$	$[1, 0, 0, -89398688, 157103151617]$	\(y^2+xy=x^3-89398688x+157103151617\)	28.2.0.a.1	$[(9272, 349389)]$
455175.do1	455175do1	455175.do	455175do	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 17^{2} \)	\( 3^{6} \cdot 5^{14} \cdot 7 \cdot 17^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$28$	$2$	$0$	$1$	$1$		$0$	$3732480$	$1.756975$	$6161940649/2734375$	$0.89123$	$3.41226$	$[1, -1, 0, -56817, 2531466]$	\(y^2+xy=x^3-x^2-56817x+2531466\)	28.2.0.a.1	$[]$
455175.fb1	455175fb1	455175.fb	455175fb	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 17^{2} \)	\( 3^{6} \cdot 5^{14} \cdot 7 \cdot 17^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$28$	$2$	$0$	$1$	$9$	$3$	$0$	$63452160$	$3.173580$	$6161940649/2734375$	$0.89123$	$4.71704$	$[1, -1, 0, -16420167, 12371411866]$	\(y^2+xy=x^3-x^2-16420167x+12371411866\)	28.2.0.a.1	$[]$