Elliptic curve search results

Results (18 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
1462.a1	1462a1	1462.a	1462a	$1$	$1$	\( 2 \cdot 17 \cdot 43 \)	\( - 2^{4} \cdot 17 \cdot 43 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$1462$	$2$	$0$	$0.299347069$	$1$		$6$	$96$	$-0.530484$	$18191447/11696$	$0.87288$	$2.29384$	$[1, 1, 0, 6, 4]$	\(y^2+xy=x^3+x^2+6x+4\)	1462.2.0.?	$[(0, 2)]$
11696.h1	11696k1	11696.h	11696k	$1$	$1$	\( 2^{4} \cdot 17 \cdot 43 \)	\( - 2^{16} \cdot 17 \cdot 43 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1462$	$2$	$0$	$0.917569336$	$1$		$2$	$2304$	$0.162663$	$18191447/11696$	$0.87288$	$2.67260$	$[0, 1, 0, 88, -76]$	\(y^2=x^3+x^2+88x-76\)	1462.2.0.?	$[(14, 64)]$
13158.u1	13158r1	13158.u	13158r	$1$	$1$	\( 2 \cdot 3^{2} \cdot 17 \cdot 43 \)	\( - 2^{4} \cdot 3^{6} \cdot 17 \cdot 43 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1462$	$2$	$0$	$1$	$1$		$0$	$2880$	$0.018822$	$18191447/11696$	$0.87288$	$2.45742$	$[1, -1, 1, 49, -57]$	\(y^2+xy+y=x^3-x^2+49x-57\)	1462.2.0.?	$[]$
24854.b1	24854a1	24854.b	24854a	$1$	$1$	\( 2 \cdot 17^{2} \cdot 43 \)	\( - 2^{4} \cdot 17^{7} \cdot 43 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1462$	$2$	$0$	$2.418631311$	$1$		$0$	$27648$	$0.886123$	$18191447/11696$	$0.87288$	$3.33134$	$[1, 0, 1, 1583, 8212]$	\(y^2+xy+y=x^3+1583x+8212\)	1462.2.0.?	$[(-5/3, 2306/3)]$
36550.bb1	36550y1	36550.bb	36550y	$1$	$1$	\( 2 \cdot 5^{2} \cdot 17 \cdot 43 \)	\( - 2^{4} \cdot 5^{6} \cdot 17 \cdot 43 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1462$	$2$	$0$	$1$	$1$		$0$	$10368$	$0.274235$	$18191447/11696$	$0.87288$	$2.51018$	$[1, 0, 0, 137, 217]$	\(y^2+xy=x^3+137x+217\)	1462.2.0.?	$[]$
46784.l1	46784u1	46784.l	46784u	$1$	$1$	\( 2^{6} \cdot 17 \cdot 43 \)	\( - 2^{22} \cdot 17 \cdot 43 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1462$	$2$	$0$	$1$	$1$		$0$	$18432$	$0.509236$	$18191447/11696$	$0.87288$	$2.71481$	$[0, -1, 0, 351, -959]$	\(y^2=x^3-x^2+351x-959\)	1462.2.0.?	$[]$
46784.x1	46784g1	46784.x	46784g	$1$	$1$	\( 2^{6} \cdot 17 \cdot 43 \)	\( - 2^{22} \cdot 17 \cdot 43 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1462$	$2$	$0$	$1$	$1$		$0$	$18432$	$0.509236$	$18191447/11696$	$0.87288$	$2.71481$	$[0, 1, 0, 351, 959]$	\(y^2=x^3+x^2+351x+959\)	1462.2.0.?	$[]$
62866.f1	62866f1	62866.f	62866f	$1$	$1$	\( 2 \cdot 17 \cdot 43^{2} \)	\( - 2^{4} \cdot 17 \cdot 43^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1462$	$2$	$0$	$2.672616442$	$1$		$0$	$177408$	$1.350117$	$18191447/11696$	$0.87288$	$3.55548$	$[1, 0, 0, 10131, -129919]$	\(y^2+xy=x^3+10131x-129919\)	1462.2.0.?	$[(496/5, 33891/5)]$
71638.h1	71638h1	71638.h	71638h	$1$	$1$	\( 2 \cdot 7^{2} \cdot 17 \cdot 43 \)	\( - 2^{4} \cdot 7^{6} \cdot 17 \cdot 43 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1462$	$2$	$0$	$0.942983216$	$1$		$4$	$36864$	$0.442471$	$18191447/11696$	$0.87288$	$2.53967$	$[1, 0, 1, 268, -542]$	\(y^2+xy+y=x^3+268x-542\)	1462.2.0.?	$[(4, 22)]$
105264.bv1	105264bz1	105264.bv	105264bz	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 17 \cdot 43 \)	\( - 2^{16} \cdot 3^{6} \cdot 17 \cdot 43 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1462$	$2$	$0$	$3.347324784$	$1$		$2$	$69120$	$0.711969$	$18191447/11696$	$0.87288$	$2.73480$	$[0, 0, 0, 789, 2842]$	\(y^2=x^3+789x+2842\)	1462.2.0.?	$[(213, 3136)]$
176902.g1	176902b1	176902.g	176902b	$1$	$1$	\( 2 \cdot 11^{2} \cdot 17 \cdot 43 \)	\( - 2^{4} \cdot 11^{6} \cdot 17 \cdot 43 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1462$	$2$	$0$	$0.667483839$	$1$		$4$	$134400$	$0.668464$	$18191447/11696$	$0.87288$	$2.57411$	$[1, 1, 1, 663, -1913]$	\(y^2+xy+y=x^3+x^2+663x-1913\)	1462.2.0.?	$[(17, 112)]$
198832.j1	198832e1	198832.j	198832e	$1$	$1$	\( 2^{4} \cdot 17^{2} \cdot 43 \)	\( - 2^{16} \cdot 17^{7} \cdot 43 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1462$	$2$	$0$	$3.565841992$	$1$		$2$	$663552$	$1.579269$	$18191447/11696$	$0.87288$	$3.44531$	$[0, -1, 0, 25336, -525584]$	\(y^2=x^3-x^2+25336x-525584\)	1462.2.0.?	$[(180, 3136)]$
223686.bg1	223686d1	223686.bg	223686d	$1$	$1$	\( 2 \cdot 3^{2} \cdot 17^{2} \cdot 43 \)	\( - 2^{4} \cdot 3^{6} \cdot 17^{7} \cdot 43 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1462$	$2$	$0$	$2.119941343$	$1$		$2$	$829440$	$1.435429$	$18191447/11696$	$0.87288$	$3.27224$	$[1, -1, 1, 14251, -221731]$	\(y^2+xy+y=x^3-x^2+14251x-221731\)	1462.2.0.?	$[(421, 8748)]$
247078.w1	247078w1	247078.w	247078w	$1$	$1$	\( 2 \cdot 13^{2} \cdot 17 \cdot 43 \)	\( - 2^{4} \cdot 13^{6} \cdot 17 \cdot 43 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1462$	$2$	$0$	$1$	$1$		$0$	$196992$	$0.751990$	$18191447/11696$	$0.87288$	$2.58557$	$[1, 1, 1, 926, 3999]$	\(y^2+xy+y=x^3+x^2+926x+3999\)	1462.2.0.?	$[]$
292400.r1	292400r1	292400.r	292400r	$1$	$1$	\( 2^{4} \cdot 5^{2} \cdot 17 \cdot 43 \)	\( - 2^{16} \cdot 5^{6} \cdot 17 \cdot 43 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1462$	$2$	$0$	$1.810990515$	$1$		$2$	$248832$	$0.967381$	$18191447/11696$	$0.87288$	$2.75633$	$[0, -1, 0, 2192, -13888]$	\(y^2=x^3-x^2+2192x-13888\)	1462.2.0.?	$[(8, 64)]$
328950.bx1	328950bx1	328950.bx	328950bx	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 17 \cdot 43 \)	\( - 2^{4} \cdot 3^{6} \cdot 5^{6} \cdot 17 \cdot 43 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1462$	$2$	$0$	$2.974157440$	$1$		$2$	$311040$	$0.823541$	$18191447/11696$	$0.87288$	$2.59490$	$[1, -1, 0, 1233, -5859]$	\(y^2+xy=x^3-x^2+1233x-5859\)	1462.2.0.?	$[(10, 81)]$
421056.o1	421056o1	421056.o	421056o	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 17 \cdot 43 \)	\( - 2^{22} \cdot 3^{6} \cdot 17 \cdot 43 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1462$	$2$	$0$	$1$	$1$		$0$	$552960$	$1.058542$	$18191447/11696$	$0.87288$	$2.76319$	$[0, 0, 0, 3156, 22736]$	\(y^2=x^3+3156x+22736\)	1462.2.0.?	$[]$
421056.p1	421056p1	421056.p	421056p	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 17 \cdot 43 \)	\( - 2^{22} \cdot 3^{6} \cdot 17 \cdot 43 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1462$	$2$	$0$	$1$	$1$		$0$	$552960$	$1.058542$	$18191447/11696$	$0.87288$	$2.76319$	$[0, 0, 0, 3156, -22736]$	\(y^2=x^3+3156x-22736\)	1462.2.0.?	$[]$