Elliptic curve search results

Results (46 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	Weierstrass coefficients	Weierstrass equation	mod-$m$ images
608.a1	608f1	608.a	608f	$1$	$1$	\( 2^{5} \cdot 19 \)	\( - 2^{9} \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$152$	$2$	$0$	$0.314996586$	$1$		$6$	$48$	$-0.546278$	$27000/19$	$[0, 0, 0, 5, -2]$	\(y^2=x^3+5x-2\)	152.2.0.?
608.f1	608c1	608.f	608c	$1$	$1$	\( 2^{5} \cdot 19 \)	\( - 2^{9} \cdot 19 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$152$	$2$	$0$	$1$	$1$		$0$	$48$	$-0.546278$	$27000/19$	$[0, 0, 0, 5, 2]$	\(y^2=x^3+5x+2\)	152.2.0.?
1216.a1	1216r1	1216.a	1216r	$1$	$1$	\( 2^{6} \cdot 19 \)	\( - 2^{15} \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$152$	$2$	$0$	$0.225942131$	$1$		$6$	$192$	$-0.199705$	$27000/19$	$[0, 0, 0, 20, 16]$	\(y^2=x^3+20x+16\)	152.2.0.?
1216.r1	1216m1	1216.r	1216m	$1$	$1$	\( 2^{6} \cdot 19 \)	\( - 2^{15} \cdot 19 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$152$	$2$	$0$	$1$	$1$		$0$	$192$	$-0.199705$	$27000/19$	$[0, 0, 0, 20, -16]$	\(y^2=x^3+20x-16\)	152.2.0.?
5472.i1	5472c1	5472.i	5472c	$1$	$1$	\( 2^{5} \cdot 3^{2} \cdot 19 \)	\( - 2^{9} \cdot 3^{6} \cdot 19 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$152$	$2$	$0$	$1$	$1$		$0$	$672$	$0.003028$	$27000/19$	$[0, 0, 0, 45, -54]$	\(y^2=x^3+45x-54\)	152.2.0.?
5472.l1	5472j1	5472.l	5472j	$1$	$1$	\( 2^{5} \cdot 3^{2} \cdot 19 \)	\( - 2^{9} \cdot 3^{6} \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$152$	$2$	$0$	$1.365957742$	$1$		$2$	$672$	$0.003028$	$27000/19$	$[0, 0, 0, 45, 54]$	\(y^2=x^3+45x+54\)	152.2.0.?
10944.bg1	10944cg1	10944.bg	10944cg	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 19 \)	\( - 2^{15} \cdot 3^{6} \cdot 19 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$152$	$2$	$0$	$1$	$1$		$0$	$2688$	$0.349601$	$27000/19$	$[0, 0, 0, 180, -432]$	\(y^2=x^3+180x-432\)	152.2.0.?
10944.bn1	10944bs1	10944.bn	10944bs	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 19 \)	\( - 2^{15} \cdot 3^{6} \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$152$	$2$	$0$	$1.087371504$	$1$		$4$	$2688$	$0.349601$	$27000/19$	$[0, 0, 0, 180, 432]$	\(y^2=x^3+180x+432\)	152.2.0.?
11552.c1	11552m1	11552.c	11552m	$1$	$1$	\( 2^{5} \cdot 19^{2} \)	\( - 2^{9} \cdot 19^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$152$	$2$	$0$	$1$	$1$		$0$	$17280$	$0.925941$	$27000/19$	$[0, 0, 0, 1805, -13718]$	\(y^2=x^3+1805x-13718\)	152.2.0.?
11552.s1	11552k1	11552.s	11552k	$1$	$1$	\( 2^{5} \cdot 19^{2} \)	\( - 2^{9} \cdot 19^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$152$	$2$	$0$	$1$	$1$		$0$	$17280$	$0.925941$	$27000/19$	$[0, 0, 0, 1805, 13718]$	\(y^2=x^3+1805x+13718\)	152.2.0.?
15200.a1	15200c1	15200.a	15200c	$1$	$1$	\( 2^{5} \cdot 5^{2} \cdot 19 \)	\( - 2^{9} \cdot 5^{6} \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$152$	$2$	$0$	$1.307536997$	$1$		$2$	$6912$	$0.258440$	$27000/19$	$[0, 0, 0, 125, 250]$	\(y^2=x^3+125x+250\)	152.2.0.?
15200.n1	15200g1	15200.n	15200g	$1$	$1$	\( 2^{5} \cdot 5^{2} \cdot 19 \)	\( - 2^{9} \cdot 5^{6} \cdot 19 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$152$	$2$	$0$	$1$	$1$		$0$	$6912$	$0.258440$	$27000/19$	$[0, 0, 0, 125, -250]$	\(y^2=x^3+125x-250\)	152.2.0.?
23104.e1	23104cc1	23104.e	23104cc	$1$	$1$	\( 2^{6} \cdot 19^{2} \)	\( - 2^{15} \cdot 19^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$152$	$2$	$0$	$0.985246167$	$1$		$4$	$69120$	$1.272514$	$27000/19$	$[0, 0, 0, 7220, 109744]$	\(y^2=x^3+7220x+109744\)	152.2.0.?
23104.ca1	23104cb1	23104.ca	23104cb	$1$	$1$	\( 2^{6} \cdot 19^{2} \)	\( - 2^{15} \cdot 19^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$152$	$2$	$0$	$3.002435982$	$1$		$0$	$69120$	$1.272514$	$27000/19$	$[0, 0, 0, 7220, -109744]$	\(y^2=x^3+7220x-109744\)	152.2.0.?
29792.a1	29792p1	29792.a	29792p	$1$	$1$	\( 2^{5} \cdot 7^{2} \cdot 19 \)	\( - 2^{9} \cdot 7^{6} \cdot 19 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$152$	$2$	$0$	$1$	$1$		$0$	$18144$	$0.426677$	$27000/19$	$[0, 0, 0, 245, -686]$	\(y^2=x^3+245x-686\)	152.2.0.?
29792.p1	29792l1	29792.p	29792l	$1$	$1$	\( 2^{5} \cdot 7^{2} \cdot 19 \)	\( - 2^{9} \cdot 7^{6} \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$152$	$2$	$0$	$4.973876878$	$1$		$0$	$18144$	$0.426677$	$27000/19$	$[0, 0, 0, 245, 686]$	\(y^2=x^3+245x+686\)	152.2.0.?
30400.a1	30400bl1	30400.a	30400bl	$1$	$1$	\( 2^{6} \cdot 5^{2} \cdot 19 \)	\( - 2^{15} \cdot 5^{6} \cdot 19 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$152$	$2$	$0$	$0.938514891$	$1$		$14$	$27648$	$0.605014$	$27000/19$	$[0, 0, 0, 500, -2000]$	\(y^2=x^3+500x-2000\)	152.2.0.?
30400.cb1	30400bw1	30400.cb	30400bw	$1$	$1$	\( 2^{6} \cdot 5^{2} \cdot 19 \)	\( - 2^{15} \cdot 5^{6} \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$152$	$2$	$0$	$3.067650595$	$1$		$0$	$27648$	$0.605014$	$27000/19$	$[0, 0, 0, 500, 2000]$	\(y^2=x^3+500x+2000\)	152.2.0.?
59584.a1	59584dd1	59584.a	59584dd	$1$	$1$	\( 2^{6} \cdot 7^{2} \cdot 19 \)	\( - 2^{15} \cdot 7^{6} \cdot 19 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$152$	$2$	$0$	$1$	$1$		$0$	$72576$	$0.773251$	$27000/19$	$[0, 0, 0, 980, 5488]$	\(y^2=x^3+980x+5488\)	152.2.0.?
59584.dd1	59584cu1	59584.dd	59584cu	$1$	$1$	\( 2^{6} \cdot 7^{2} \cdot 19 \)	\( - 2^{15} \cdot 7^{6} \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$152$	$2$	$0$	$4.486890190$	$1$		$0$	$72576$	$0.773251$	$27000/19$	$[0, 0, 0, 980, -5488]$	\(y^2=x^3+980x-5488\)	152.2.0.?
73568.a1	73568h1	73568.a	73568h	$1$	$1$	\( 2^{5} \cdot 11^{2} \cdot 19 \)	\( - 2^{9} \cdot 11^{6} \cdot 19 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$152$	$2$	$0$	$2.074902200$	$1$		$10$	$67200$	$0.652669$	$27000/19$	$[0, 0, 0, 605, 2662]$	\(y^2=x^3+605x+2662\)	152.2.0.?
73568.v1	73568l1	73568.v	73568l	$1$	$1$	\( 2^{5} \cdot 11^{2} \cdot 19 \)	\( - 2^{9} \cdot 11^{6} \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$152$	$2$	$0$	$9.268883986$	$1$		$0$	$67200$	$0.652669$	$27000/19$	$[0, 0, 0, 605, -2662]$	\(y^2=x^3+605x-2662\)	152.2.0.?
102752.b1	102752d1	102752.b	102752d	$1$	$1$	\( 2^{5} \cdot 13^{2} \cdot 19 \)	\( - 2^{9} \cdot 13^{6} \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$152$	$2$	$0$	$2.959898335$	$1$		$2$	$112320$	$0.736197$	$27000/19$	$[0, 0, 0, 845, -4394]$	\(y^2=x^3+845x-4394\)	152.2.0.?
102752.n1	102752g1	102752.n	102752g	$1$	$1$	\( 2^{5} \cdot 13^{2} \cdot 19 \)	\( - 2^{9} \cdot 13^{6} \cdot 19 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$152$	$2$	$0$	$1$	$9$	$3$	$0$	$112320$	$0.736197$	$27000/19$	$[0, 0, 0, 845, 4394]$	\(y^2=x^3+845x+4394\)	152.2.0.?
103968.bj1	103968bt1	103968.bj	103968bt	$1$	$1$	\( 2^{5} \cdot 3^{2} \cdot 19^{2} \)	\( - 2^{9} \cdot 3^{6} \cdot 19^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$152$	$2$	$0$	$1$	$1$		$0$	$241920$	$1.475246$	$27000/19$	$[0, 0, 0, 16245, 370386]$	\(y^2=x^3+16245x+370386\)	152.2.0.?
103968.bq1	103968bs1	103968.bq	103968bs	$1$	$1$	\( 2^{5} \cdot 3^{2} \cdot 19^{2} \)	\( - 2^{9} \cdot 3^{6} \cdot 19^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$152$	$2$	$0$	$1$	$1$		$0$	$241920$	$1.475246$	$27000/19$	$[0, 0, 0, 16245, -370386]$	\(y^2=x^3+16245x-370386\)	152.2.0.?
136800.bh1	136800u1	136800.bh	136800u	$1$	$1$	\( 2^{5} \cdot 3^{2} \cdot 5^{2} \cdot 19 \)	\( - 2^{9} \cdot 3^{6} \cdot 5^{6} \cdot 19 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$152$	$2$	$0$	$1$	$1$		$0$	$96768$	$0.807747$	$27000/19$	$[0, 0, 0, 1125, 6750]$	\(y^2=x^3+1125x+6750\)	152.2.0.?
136800.cc1	136800bb1	136800.cc	136800bb	$1$	$1$	\( 2^{5} \cdot 3^{2} \cdot 5^{2} \cdot 19 \)	\( - 2^{9} \cdot 3^{6} \cdot 5^{6} \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$152$	$2$	$0$	$6.635470326$	$1$		$0$	$96768$	$0.807747$	$27000/19$	$[0, 0, 0, 1125, -6750]$	\(y^2=x^3+1125x-6750\)	152.2.0.?
147136.c1	147136a1	147136.c	147136a	$1$	$1$	\( 2^{6} \cdot 11^{2} \cdot 19 \)	\( - 2^{15} \cdot 11^{6} \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$152$	$2$	$0$	$2.217149097$	$1$		$2$	$268800$	$0.999243$	$27000/19$	$[0, 0, 0, 2420, -21296]$	\(y^2=x^3+2420x-21296\)	152.2.0.?
147136.dq1	147136cb1	147136.dq	147136cb	$1$	$1$	\( 2^{6} \cdot 11^{2} \cdot 19 \)	\( - 2^{15} \cdot 11^{6} \cdot 19 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$152$	$2$	$0$	$1$	$1$		$0$	$268800$	$0.999243$	$27000/19$	$[0, 0, 0, 2420, 21296]$	\(y^2=x^3+2420x+21296\)	152.2.0.?
175712.b1	175712b1	175712.b	175712b	$1$	$1$	\( 2^{5} \cdot 17^{2} \cdot 19 \)	\( - 2^{9} \cdot 17^{6} \cdot 19 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$152$	$2$	$0$	$1$	$1$		$0$	$241920$	$0.870328$	$27000/19$	$[0, 0, 0, 1445, 9826]$	\(y^2=x^3+1445x+9826\)	152.2.0.?
175712.w1	175712n1	175712.w	175712n	$1$	$1$	\( 2^{5} \cdot 17^{2} \cdot 19 \)	\( - 2^{9} \cdot 17^{6} \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$152$	$2$	$0$	$13.35350550$	$1$		$0$	$241920$	$0.870328$	$27000/19$	$[0, 0, 0, 1445, -9826]$	\(y^2=x^3+1445x-9826\)	152.2.0.?
205504.d1	205504a1	205504.d	205504a	$1$	$1$	\( 2^{6} \cdot 13^{2} \cdot 19 \)	\( - 2^{15} \cdot 13^{6} \cdot 19 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$152$	$2$	$0$	$1$	$1$		$0$	$449280$	$1.082769$	$27000/19$	$[0, 0, 0, 3380, 35152]$	\(y^2=x^3+3380x+35152\)	152.2.0.?
205504.cw1	205504bj1	205504.cw	205504bj	$1$	$1$	\( 2^{6} \cdot 13^{2} \cdot 19 \)	\( - 2^{15} \cdot 13^{6} \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$152$	$2$	$0$	$7.692106692$	$1$		$0$	$449280$	$1.082769$	$27000/19$	$[0, 0, 0, 3380, -35152]$	\(y^2=x^3+3380x-35152\)	152.2.0.?
207936.dv1	207936bk1	207936.dv	207936bk	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 19^{2} \)	\( - 2^{15} \cdot 3^{6} \cdot 19^{7} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$152$	$2$	$0$	$3.506018731$	$1$		$6$	$967680$	$1.821821$	$27000/19$	$[0, 0, 0, 64980, 2963088]$	\(y^2=x^3+64980x+2963088\)	152.2.0.?
207936.ek1	207936br1	207936.ek	207936br	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 19^{2} \)	\( - 2^{15} \cdot 3^{6} \cdot 19^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$152$	$2$	$0$	$1$	$1$		$0$	$967680$	$1.821821$	$27000/19$	$[0, 0, 0, 64980, -2963088]$	\(y^2=x^3+64980x-2963088\)	152.2.0.?
268128.bv1	268128bv1	268128.bv	268128bv	$1$	$1$	\( 2^{5} \cdot 3^{2} \cdot 7^{2} \cdot 19 \)	\( - 2^{9} \cdot 3^{6} \cdot 7^{6} \cdot 19 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$152$	$2$	$0$	$1$	$1$		$0$	$254016$	$0.975983$	$27000/19$	$[0, 0, 0, 2205, 18522]$	\(y^2=x^3+2205x+18522\)	152.2.0.?
268128.cg1	268128cg1	268128.cg	268128cg	$1$	$1$	\( 2^{5} \cdot 3^{2} \cdot 7^{2} \cdot 19 \)	\( - 2^{9} \cdot 3^{6} \cdot 7^{6} \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$152$	$2$	$0$	$8.220871882$	$1$		$0$	$254016$	$0.975983$	$27000/19$	$[0, 0, 0, 2205, -18522]$	\(y^2=x^3+2205x-18522\)	152.2.0.?
273600.fx1	273600fx1	273600.fx	273600fx	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 19 \)	\( - 2^{15} \cdot 3^{6} \cdot 5^{6} \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$152$	$2$	$0$	$3.270908051$	$1$		$2$	$387072$	$1.154320$	$27000/19$	$[0, 0, 0, 4500, 54000]$	\(y^2=x^3+4500x+54000\)	152.2.0.?
273600.ko1	273600ko1	273600.ko	273600ko	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 19 \)	\( - 2^{15} \cdot 3^{6} \cdot 5^{6} \cdot 19 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$152$	$2$	$0$	$1$	$1$		$0$	$387072$	$1.154320$	$27000/19$	$[0, 0, 0, 4500, -54000]$	\(y^2=x^3+4500x-54000\)	152.2.0.?
288800.c1	288800c1	288800.c	288800c	$1$	$1$	\( 2^{5} \cdot 5^{2} \cdot 19^{2} \)	\( - 2^{9} \cdot 5^{6} \cdot 19^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$152$	$2$	$0$	$0.686081649$	$1$		$4$	$2488320$	$1.730659$	$27000/19$	$[0, 0, 0, 45125, 1714750]$	\(y^2=x^3+45125x+1714750\)	152.2.0.?
288800.cs1	288800cs1	288800.cs	288800cs	$1$	$1$	\( 2^{5} \cdot 5^{2} \cdot 19^{2} \)	\( - 2^{9} \cdot 5^{6} \cdot 19^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$152$	$2$	$0$	$17.23307846$	$1$		$0$	$2488320$	$1.730659$	$27000/19$	$[0, 0, 0, 45125, -1714750]$	\(y^2=x^3+45125x-1714750\)	152.2.0.?
321632.b1	321632b1	321632.b	321632b	$1$	$1$	\( 2^{5} \cdot 19 \cdot 23^{2} \)	\( - 2^{9} \cdot 19 \cdot 23^{6} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$152$	$2$	$0$	$3.301420035$	$1$		$2$	$598752$	$1.021469$	$27000/19$	$[0, 0, 0, 2645, 24334]$	\(y^2=x^3+2645x+24334\)	152.2.0.?
321632.u1	321632u1	321632.u	321632u	$1$	$1$	\( 2^{5} \cdot 19 \cdot 23^{2} \)	\( - 2^{9} \cdot 19 \cdot 23^{6} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$152$	$2$	$0$	$1$	$9$	$3$	$0$	$598752$	$1.021469$	$27000/19$	$[0, 0, 0, 2645, -24334]$	\(y^2=x^3+2645x-24334\)	152.2.0.?
351424.b1	351424b1	351424.b	351424b	$1$	$1$	\( 2^{6} \cdot 17^{2} \cdot 19 \)	\( - 2^{15} \cdot 17^{6} \cdot 19 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$152$	$2$	$0$	$1$	$1$		$0$	$967680$	$1.216902$	$27000/19$	$[0, 0, 0, 5780, -78608]$	\(y^2=x^3+5780x-78608\)	152.2.0.?
351424.cl1	351424cl1	351424.cl	351424cl	$1$	$1$	\( 2^{6} \cdot 17^{2} \cdot 19 \)	\( - 2^{15} \cdot 17^{6} \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$152$	$2$	$0$	$10.15258198$	$1$		$0$	$967680$	$1.216902$	$27000/19$	$[0, 0, 0, 5780, 78608]$	\(y^2=x^3+5780x+78608\)	152.2.0.?