Elliptic curve search results

Results (22 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
3381.f1	3381e1	3381.f	3381e	$1$	$1$	\( 3 \cdot 7^{2} \cdot 23 \)	\( - 3 \cdot 7^{9} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$966$	$2$	$0$	$0.856147051$	$1$		$4$	$2016$	$0.611167$	$-4096000/69$	$0.84974$	$4.03245$	$[0, -1, 1, -1143, 15476]$	\(y^2+y=x^3-x^2-1143x+15476\)	966.2.0.?	$[(-16, 171)]$
3381.i1	3381m1	3381.i	3381m	$1$	$1$	\( 3 \cdot 7^{2} \cdot 23 \)	\( - 3 \cdot 7^{3} \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$966$	$2$	$0$	$1$	$1$		$0$	$288$	$-0.361788$	$-4096000/69$	$0.84974$	$2.59564$	$[0, 1, 1, -23, -52]$	\(y^2+y=x^3+x^2-23x-52\)	966.2.0.?	$[]$
10143.i1	10143m1	10143.i	10143m	$1$	$1$	\( 3^{2} \cdot 7^{2} \cdot 23 \)	\( - 3^{7} \cdot 7^{9} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$966$	$2$	$0$	$3.268658053$	$1$		$0$	$16128$	$1.160473$	$-4096000/69$	$0.84974$	$4.26678$	$[0, 0, 1, -10290, -407570]$	\(y^2+y=x^3-10290x-407570\)	966.2.0.?	$[(1225/2, 40127/2)]$
10143.j1	10143l1	10143.j	10143l	$1$	$1$	\( 3^{2} \cdot 7^{2} \cdot 23 \)	\( - 3^{7} \cdot 7^{3} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$966$	$2$	$0$	$0.193389450$	$1$		$6$	$2304$	$0.187518$	$-4096000/69$	$0.84974$	$3.00108$	$[0, 0, 1, -210, 1188]$	\(y^2+y=x^3-210x+1188\)	966.2.0.?	$[(14, 31)]$
54096.u1	54096bg1	54096.u	54096bg	$1$	$1$	\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 23 \)	\( - 2^{12} \cdot 3 \cdot 7^{3} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$966$	$2$	$0$	$1.198035819$	$1$		$2$	$20736$	$0.331359$	$-4096000/69$	$0.84974$	$2.69851$	$[0, -1, 0, -373, 2941]$	\(y^2=x^3-x^2-373x+2941\)	966.2.0.?	$[(12, 7)]$
54096.ci1	54096cp1	54096.ci	54096cp	$1$	$1$	\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 23 \)	\( - 2^{12} \cdot 3 \cdot 7^{9} \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$966$	$2$	$0$	$1$	$1$		$0$	$145152$	$1.304314$	$-4096000/69$	$0.84974$	$3.76980$	$[0, 1, 0, -18293, -972189]$	\(y^2=x^3+x^2-18293x-972189\)	966.2.0.?	$[]$
77763.m1	77763b1	77763.m	77763b	$1$	$1$	\( 3 \cdot 7^{2} \cdot 23^{2} \)	\( - 3 \cdot 7^{9} \cdot 23^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$966$	$2$	$0$	$3.951538164$	$1$		$2$	$1064448$	$2.178913$	$-4096000/69$	$0.84974$	$4.58027$	$[0, -1, 1, -604823, -183461398]$	\(y^2+y=x^3-x^2-604823x-183461398\)	966.2.0.?	$[(2170, 93368)]$
77763.p1	77763bb1	77763.p	77763bb	$1$	$1$	\( 3 \cdot 7^{2} \cdot 23^{2} \)	\( - 3 \cdot 7^{3} \cdot 23^{7} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$966$	$2$	$0$	$1.685485023$	$1$		$4$	$152064$	$1.205959$	$-4096000/69$	$0.84974$	$3.54351$	$[0, 1, 1, -12343, 531346]$	\(y^2+y=x^3+x^2-12343x+531346\)	966.2.0.?	$[(-8, 793), (589/2, 11105/2)]$
84525.bo1	84525l1	84525.bo	84525l	$1$	$1$	\( 3 \cdot 5^{2} \cdot 7^{2} \cdot 23 \)	\( - 3 \cdot 5^{6} \cdot 7^{3} \cdot 23 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$966$	$2$	$0$	$4.327509148$	$1$		$8$	$41472$	$0.442931$	$-4096000/69$	$0.84974$	$2.71037$	$[0, -1, 1, -583, -5307]$	\(y^2+y=x^3-x^2-583x-5307\)	966.2.0.?	$[(47, 262), (33, 101)]$
84525.ce1	84525bu1	84525.ce	84525bu	$1$	$1$	\( 3 \cdot 5^{2} \cdot 7^{2} \cdot 23 \)	\( - 3 \cdot 5^{6} \cdot 7^{9} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$966$	$2$	$0$	$3.001073082$	$1$		$2$	$290304$	$1.415886$	$-4096000/69$	$0.84974$	$3.73951$	$[0, 1, 1, -28583, 1877369]$	\(y^2+y=x^3+x^2-28583x+1877369\)	966.2.0.?	$[(123, 487)]$
162288.dv1	162288br1	162288.dv	162288br	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 23 \)	\( - 2^{12} \cdot 3^{7} \cdot 7^{9} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$966$	$2$	$0$	$2.423338900$	$1$		$2$	$1161216$	$1.853621$	$-4096000/69$	$0.84974$	$3.97402$	$[0, 0, 0, -164640, 26084464]$	\(y^2=x^3-164640x+26084464\)	966.2.0.?	$[(833, 21609)]$
162288.dw1	162288bs1	162288.dw	162288bs	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 23 \)	\( - 2^{12} \cdot 3^{7} \cdot 7^{3} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$966$	$2$	$0$	$6.933782088$	$1$		$2$	$165888$	$0.880665$	$-4096000/69$	$0.84974$	$3.00083$	$[0, 0, 0, -3360, -76048]$	\(y^2=x^3-3360x-76048\)	966.2.0.?	$[(8113, 730737)]$
216384.bt1	216384ht1	216384.bt	216384ht	$1$	$1$	\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 23 \)	\( - 2^{6} \cdot 3 \cdot 7^{3} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$966$	$2$	$0$	$2.469390457$	$1$		$2$	$41472$	$-0.015215$	$-4096000/69$	$0.84974$	$2.05545$	$[0, -1, 0, -93, -321]$	\(y^2=x^3-x^2-93x-321\)	966.2.0.?	$[(26, 119)]$
216384.cr1	216384dr1	216384.cr	216384dr	$1$	$1$	\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 23 \)	\( - 2^{6} \cdot 3 \cdot 7^{9} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$966$	$2$	$0$	$11.77903832$	$1$		$0$	$290304$	$0.957740$	$-4096000/69$	$0.84974$	$3.00585$	$[0, -1, 0, -4573, -119237]$	\(y^2=x^3-x^2-4573x-119237\)	966.2.0.?	$[(1622526/143, 308769629/143)]$
216384.gi1	216384fo1	216384.gi	216384fo	$1$	$1$	\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 23 \)	\( - 2^{6} \cdot 3 \cdot 7^{9} \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$966$	$2$	$0$	$1$	$1$		$0$	$290304$	$0.957740$	$-4096000/69$	$0.84974$	$3.00585$	$[0, 1, 0, -4573, 119237]$	\(y^2=x^3+x^2-4573x+119237\)	966.2.0.?	$[]$
216384.hh1	216384be1	216384.hh	216384be	$1$	$1$	\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 23 \)	\( - 2^{6} \cdot 3 \cdot 7^{3} \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$966$	$2$	$0$	$1$	$1$		$0$	$41472$	$-0.015215$	$-4096000/69$	$0.84974$	$2.05545$	$[0, 1, 0, -93, 321]$	\(y^2=x^3+x^2-93x+321\)	966.2.0.?	$[]$
233289.bf1	233289bf1	233289.bf	233289bf	$1$	$1$	\( 3^{2} \cdot 7^{2} \cdot 23^{2} \)	\( - 3^{7} \cdot 7^{9} \cdot 23^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$966$	$2$	$0$	$1$	$1$		$0$	$8515584$	$2.728218$	$-4096000/69$	$0.84974$	$4.70646$	$[0, 0, 1, -5443410, 4958901148]$	\(y^2+y=x^3-5443410x+4958901148\)	966.2.0.?	$[]$
233289.bg1	233289bg1	233289.bg	233289bg	$1$	$1$	\( 3^{2} \cdot 7^{2} \cdot 23^{2} \)	\( - 3^{7} \cdot 7^{3} \cdot 23^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$966$	$2$	$0$	$1$	$1$		$0$	$1216512$	$1.755264$	$-4096000/69$	$0.84974$	$3.76185$	$[0, 0, 1, -111090, -14457438]$	\(y^2+y=x^3-111090x-14457438\)	966.2.0.?	$[]$
253575.ck1	253575ck1	253575.ck	253575ck	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 23 \)	\( - 3^{7} \cdot 5^{6} \cdot 7^{3} \cdot 23 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$966$	$2$	$0$	$1.393413564$	$1$		$8$	$331776$	$0.992237$	$-4096000/69$	$0.84974$	$3.00080$	$[0, 0, 1, -5250, 148531]$	\(y^2+y=x^3-5250x+148531\)	966.2.0.?	$[(35, 87), (49, 94)]$
253575.cp1	253575cp1	253575.cp	253575cp	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 23 \)	\( - 3^{7} \cdot 5^{6} \cdot 7^{9} \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$966$	$2$	$0$	$1$	$1$		$0$	$2322432$	$1.965191$	$-4096000/69$	$0.84974$	$3.93909$	$[0, 0, 1, -257250, -50946219]$	\(y^2+y=x^3-257250x-50946219\)	966.2.0.?	$[]$
409101.x1	409101x1	409101.x	409101x	$1$	$1$	\( 3 \cdot 7^{2} \cdot 11^{2} \cdot 23 \)	\( - 3 \cdot 7^{9} \cdot 11^{6} \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$966$	$2$	$0$	$1$	$9$	$3$	$0$	$2399040$	$1.810114$	$-4096000/69$	$0.84974$	$3.64927$	$[0, -1, 1, -138343, -20045565]$	\(y^2+y=x^3-x^2-138343x-20045565\)	966.2.0.?	$[]$
409101.be1	409101be1	409101.be	409101be	$1$	$1$	\( 3 \cdot 7^{2} \cdot 11^{2} \cdot 23 \)	\( - 3 \cdot 7^{3} \cdot 11^{6} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$966$	$2$	$0$	$2.400219666$	$1$		$2$	$342720$	$0.837159$	$-4096000/69$	$0.84974$	$2.74571$	$[0, 1, 1, -2823, 57635]$	\(y^2+y=x^3+x^2-2823x+57635\)	966.2.0.?	$[(23, 73)]$