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
4719.e1	4719f1	4719.e	4719f	$1$	$1$	\( 3 \cdot 11^{2} \cdot 13 \)	\( - 3 \cdot 11^{2} \cdot 13^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$0.964613657$	$1$		$2$	$384$	$-0.389031$	$-360448/507$	$0.84429$	$2.22518$	$[0, -1, 1, -7, -12]$	\(y^2+y=x^3-x^2-7x-12\)	6.2.0.a.1	$[(8, 19)]$
4719.f1	4719a1	4719.f	4719a	$1$	$1$	\( 3 \cdot 11^{2} \cdot 13 \)	\( - 3 \cdot 11^{8} \cdot 13^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$1$	$1$		$0$	$4224$	$0.809916$	$-360448/507$	$0.84429$	$3.92595$	$[0, -1, 1, -887, 19139]$	\(y^2+y=x^3-x^2-887x+19139\)	6.2.0.a.1	$[]$
14157.j1	14157r1	14157.j	14157r	$1$	$1$	\( 3^{2} \cdot 11^{2} \cdot 13 \)	\( - 3^{7} \cdot 11^{2} \cdot 13^{2} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$0.338846490$	$1$		$14$	$3072$	$0.160275$	$-360448/507$	$0.84429$	$2.65907$	$[0, 0, 1, -66, 382]$	\(y^2+y=x^3-66x+382\)	6.2.0.a.1	$[(16, 58), (-2, 22)]$
14157.k1	14157h1	14157.k	14157h	$1$	$1$	\( 3^{2} \cdot 11^{2} \cdot 13 \)	\( - 3^{7} \cdot 11^{8} \cdot 13^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$0.628152699$	$1$		$4$	$33792$	$1.359222$	$-360448/507$	$0.84429$	$4.16435$	$[0, 0, 1, -7986, -508775]$	\(y^2+y=x^3-7986x-508775\)	6.2.0.a.1	$[(121, 544)]$
61347.m1	61347e1	61347.m	61347e	$1$	$1$	\( 3 \cdot 11^{2} \cdot 13^{2} \)	\( - 3 \cdot 11^{8} \cdot 13^{8} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$1.766986616$	$1$		$6$	$709632$	$2.092392$	$-360448/507$	$0.84429$	$4.40851$	$[0, -1, 1, -149959, 41449176]$	\(y^2+y=x^3-x^2-149959x+41449176\)	6.2.0.a.1	$[(2622, 132918), (-523/2, 61343/2)]$
61347.o1	61347d1	61347.o	61347d	$1$	$1$	\( 3 \cdot 11^{2} \cdot 13^{2} \)	\( - 3 \cdot 11^{2} \cdot 13^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$1$	$1$		$0$	$64512$	$0.893443$	$-360448/507$	$0.84429$	$3.10345$	$[0, -1, 1, -1239, -30691]$	\(y^2+y=x^3-x^2-1239x-30691\)	6.2.0.a.1	$[]$
75504.ck1	75504cl1	75504.ck	75504cl	$1$	$1$	\( 2^{4} \cdot 3 \cdot 11^{2} \cdot 13 \)	\( - 2^{12} \cdot 3 \cdot 11^{8} \cdot 13^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$1$	$1$		$0$	$304128$	$1.503063$	$-360448/507$	$0.84429$	$3.69738$	$[0, 1, 0, -14197, -1210717]$	\(y^2=x^3+x^2-14197x-1210717\)	6.2.0.a.1	$[]$
75504.co1	75504cz1	75504.co	75504cz	$1$	$1$	\( 2^{4} \cdot 3 \cdot 11^{2} \cdot 13 \)	\( - 2^{12} \cdot 3 \cdot 11^{2} \cdot 13^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$3.518800269$	$1$		$0$	$27648$	$0.304116$	$-360448/507$	$0.84429$	$2.41645$	$[0, 1, 0, -117, 867]$	\(y^2=x^3+x^2-117x+867\)	6.2.0.a.1	$[(46/3, 559/3)]$
117975.bh1	117975bt1	117975.bh	117975bt	$1$	$1$	\( 3 \cdot 5^{2} \cdot 11^{2} \cdot 13 \)	\( - 3 \cdot 5^{6} \cdot 11^{8} \cdot 13^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$1$	$1$		$0$	$540672$	$1.614635$	$-360448/507$	$0.84429$	$3.67073$	$[0, 1, 1, -22183, 2348044]$	\(y^2+y=x^3+x^2-22183x+2348044\)	6.2.0.a.1	$[]$
117975.bp1	117975bi1	117975.bp	117975bi	$1$	$1$	\( 3 \cdot 5^{2} \cdot 11^{2} \cdot 13 \)	\( - 3 \cdot 5^{6} \cdot 11^{2} \cdot 13^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$2.996931451$	$1$		$0$	$49152$	$0.415688$	$-360448/507$	$0.84429$	$2.43875$	$[0, 1, 1, -183, -1831]$	\(y^2+y=x^3+x^2-183x-1831\)	6.2.0.a.1	$[(277/3, 4049/3)]$
184041.bf1	184041v1	184041.bf	184041v	$1$	$1$	\( 3^{2} \cdot 11^{2} \cdot 13^{2} \)	\( - 3^{7} \cdot 11^{8} \cdot 13^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$4.083475033$	$1$		$2$	$5677056$	$2.641697$	$-360448/507$	$0.84429$	$4.55273$	$[0, 0, 1, -1349634, -1117778126]$	\(y^2+y=x^3-1349634x-1117778126\)	6.2.0.a.1	$[(1534, 20533)]$
184041.bi1	184041y1	184041.bi	184041y	$1$	$1$	\( 3^{2} \cdot 11^{2} \cdot 13^{2} \)	\( - 3^{7} \cdot 11^{2} \cdot 13^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$1.036648884$	$1$		$4$	$516096$	$1.442749$	$-360448/507$	$0.84429$	$3.36594$	$[0, 0, 1, -11154, 839803]$	\(y^2+y=x^3-11154x+839803\)	6.2.0.a.1	$[(91, 760)]$
226512.y1	226512l1	226512.y	226512l	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 11^{2} \cdot 13 \)	\( - 2^{12} \cdot 3^{7} \cdot 11^{8} \cdot 13^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$1$	$1$		$0$	$2433024$	$2.052368$	$-360448/507$	$0.84429$	$3.90254$	$[0, 0, 0, -127776, 32561584]$	\(y^2=x^3-127776x+32561584\)	6.2.0.a.1	$[]$
226512.bx1	226512u1	226512.bx	226512u	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 11^{2} \cdot 13 \)	\( - 2^{12} \cdot 3^{7} \cdot 11^{2} \cdot 13^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$5.302652917$	$1$		$0$	$221184$	$0.853422$	$-360448/507$	$0.84429$	$2.73573$	$[0, 0, 0, -1056, -24464]$	\(y^2=x^3-1056x-24464\)	6.2.0.a.1	$[(529/3, 9217/3)]$
231231.bj1	231231bj1	231231.bj	231231bj	$1$	$1$	\( 3 \cdot 7^{2} \cdot 11^{2} \cdot 13 \)	\( - 3 \cdot 7^{6} \cdot 11^{2} \cdot 13^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$1$	$1$		$0$	$126720$	$0.583923$	$-360448/507$	$0.84429$	$2.46933$	$[0, 1, 1, -359, 4736]$	\(y^2+y=x^3+x^2-359x+4736\)	6.2.0.a.1	$[]$
231231.bk1	231231bk1	231231.bk	231231bk	$1$	$1$	\( 3 \cdot 7^{2} \cdot 11^{2} \cdot 13 \)	\( - 3 \cdot 7^{6} \cdot 11^{8} \cdot 13^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$13.98893068$	$1$		$0$	$1393920$	$1.782871$	$-360448/507$	$0.84429$	$3.63419$	$[0, 1, 1, -43479, -6477817]$	\(y^2+y=x^3+x^2-43479x-6477817\)	6.2.0.a.1	$[(3234727/87, 4801680019/87)]$
302016.t1	302016t1	302016.t	302016t	$1$	$1$	\( 2^{6} \cdot 3 \cdot 11^{2} \cdot 13 \)	\( - 2^{6} \cdot 3 \cdot 11^{8} \cdot 13^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$1$	$1$		$0$	$608256$	$1.156490$	$-360448/507$	$0.84429$	$2.96158$	$[0, -1, 0, -3549, -149565]$	\(y^2=x^3-x^2-3549x-149565\)	6.2.0.a.1	$[]$
302016.bd1	302016bd1	302016.bd	302016bd	$1$	$1$	\( 2^{6} \cdot 3 \cdot 11^{2} \cdot 13 \)	\( - 2^{6} \cdot 3 \cdot 11^{2} \cdot 13^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$0.853270060$	$1$		$2$	$55296$	$-0.042458$	$-360448/507$	$0.84429$	$1.82137$	$[0, -1, 0, -29, 123]$	\(y^2=x^3-x^2-29x+123\)	6.2.0.a.1	$[(-2, 13)]$
302016.er1	302016er1	302016.er	302016er	$1$	$1$	\( 2^{6} \cdot 3 \cdot 11^{2} \cdot 13 \)	\( - 2^{6} \cdot 3 \cdot 11^{2} \cdot 13^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$3.629155899$	$1$		$2$	$55296$	$-0.042458$	$-360448/507$	$0.84429$	$1.82137$	$[0, 1, 0, -29, -123]$	\(y^2=x^3+x^2-29x-123\)	6.2.0.a.1	$[(132, 1521)]$
302016.fd1	302016fd1	302016.fd	302016fd	$1$	$1$	\( 2^{6} \cdot 3 \cdot 11^{2} \cdot 13 \)	\( - 2^{6} \cdot 3 \cdot 11^{8} \cdot 13^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$1$	$1$		$0$	$608256$	$1.156490$	$-360448/507$	$0.84429$	$2.96158$	$[0, 1, 0, -3549, 149565]$	\(y^2=x^3+x^2-3549x+149565\)	6.2.0.a.1	$[]$
353925.bn1	353925bn1	353925.bn	353925bn	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 11^{2} \cdot 13 \)	\( - 3^{7} \cdot 5^{6} \cdot 11^{8} \cdot 13^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$1$	$1$		$0$	$4325376$	$2.163940$	$-360448/507$	$0.84429$	$3.87101$	$[0, 0, 1, -199650, -63596844]$	\(y^2+y=x^3-199650x-63596844\)	6.2.0.a.1	$[]$
353925.cq1	353925cq1	353925.cq	353925cq	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 11^{2} \cdot 13 \)	\( - 3^{7} \cdot 5^{6} \cdot 11^{2} \cdot 13^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$1.043707243$	$1$		$4$	$393216$	$0.964993$	$-360448/507$	$0.84429$	$2.74496$	$[0, 0, 1, -1650, 47781]$	\(y^2+y=x^3-1650x+47781\)	6.2.0.a.1	$[(15, 162)]$