Elliptic curve search results

Results (26 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
6600.i1	6600z1	6600.i	6600z	$1$	$1$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 11 \)	\( - 2^{10} \cdot 3 \cdot 5^{8} \cdot 11 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$132$	$2$	$0$	$1$	$1$		$0$	$4800$	$0.756912$	$-2977540/33$	$0.81863$	$3.94920$	$[0, -1, 0, -2208, -39588]$	\(y^2=x^3-x^2-2208x-39588\)	132.2.0.?	$[]$
6600.v1	6600o1	6600.v	6600o	$1$	$1$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 11 \)	\( - 2^{10} \cdot 3 \cdot 5^{2} \cdot 11 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$132$	$2$	$0$	$3.016731884$	$1$		$2$	$960$	$-0.047807$	$-2977540/33$	$0.81863$	$2.85121$	$[0, 1, 0, -88, -352]$	\(y^2=x^3+x^2-88x-352\)	132.2.0.?	$[(52, 372)]$
13200.u1	13200d1	13200.u	13200d	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \)	\( - 2^{10} \cdot 3 \cdot 5^{2} \cdot 11 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$132$	$2$	$0$	$0.659068545$	$1$		$4$	$1920$	$-0.047807$	$-2977540/33$	$0.81863$	$2.64292$	$[0, -1, 0, -88, 352]$	\(y^2=x^3-x^2-88x+352\)	132.2.0.?	$[(6, 2)]$
13200.cb1	13200bd1	13200.cb	13200bd	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \)	\( - 2^{10} \cdot 3 \cdot 5^{8} \cdot 11 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$132$	$2$	$0$	$0.748406238$	$1$		$2$	$9600$	$0.756912$	$-2977540/33$	$0.81863$	$3.66069$	$[0, 1, 0, -2208, 39588]$	\(y^2=x^3+x^2-2208x+39588\)	132.2.0.?	$[(8, 150)]$
19800.p1	19800ba1	19800.p	19800ba	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 11 \)	\( - 2^{10} \cdot 3^{7} \cdot 5^{2} \cdot 11 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$132$	$2$	$0$	$0.365420239$	$1$		$6$	$7680$	$0.501499$	$-2977540/33$	$0.81863$	$3.20087$	$[0, 0, 0, -795, 8710]$	\(y^2=x^3-795x+8710\)	132.2.0.?	$[(11, 36)]$
19800.z1	19800q1	19800.z	19800q	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 11 \)	\( - 2^{10} \cdot 3^{7} \cdot 5^{8} \cdot 11 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$132$	$2$	$0$	$1.900603601$	$1$		$2$	$38400$	$1.306219$	$-2977540/33$	$0.81863$	$4.17693$	$[0, 0, 0, -19875, 1088750]$	\(y^2=x^3-19875x+1088750\)	132.2.0.?	$[(79, 108)]$
39600.ch1	39600br1	39600.ch	39600br	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11 \)	\( - 2^{10} \cdot 3^{7} \cdot 5^{8} \cdot 11 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$132$	$2$	$0$	$1$	$1$		$0$	$76800$	$1.306219$	$-2977540/33$	$0.81863$	$3.90345$	$[0, 0, 0, -19875, -1088750]$	\(y^2=x^3-19875x-1088750\)	132.2.0.?	$[]$
39600.dn1	39600z1	39600.dn	39600z	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11 \)	\( - 2^{10} \cdot 3^{7} \cdot 5^{2} \cdot 11 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$132$	$2$	$0$	$3.253646542$	$1$		$2$	$15360$	$0.501499$	$-2977540/33$	$0.81863$	$2.99130$	$[0, 0, 0, -795, -8710]$	\(y^2=x^3-795x-8710\)	132.2.0.?	$[(139, 1602)]$
52800.bt1	52800j1	52800.bt	52800j	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 11 \)	\( - 2^{16} \cdot 3 \cdot 5^{2} \cdot 11 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$132$	$2$	$0$	$2.040828564$	$1$		$2$	$15360$	$0.298767$	$-2977540/33$	$0.81863$	$2.68844$	$[0, -1, 0, -353, -2463]$	\(y^2=x^3-x^2-353x-2463\)	132.2.0.?	$[(33, 144)]$
52800.bu1	52800fo1	52800.bu	52800fo	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 11 \)	\( - 2^{16} \cdot 3 \cdot 5^{8} \cdot 11 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$132$	$2$	$0$	$1$	$1$		$0$	$76800$	$1.103485$	$-2977540/33$	$0.81863$	$3.57647$	$[0, -1, 0, -8833, 325537]$	\(y^2=x^3-x^2-8833x+325537\)	132.2.0.?	$[]$
52800.fw1	52800dl1	52800.fw	52800dl	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 11 \)	\( - 2^{16} \cdot 3 \cdot 5^{8} \cdot 11 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$132$	$2$	$0$	$7.555494156$	$1$		$0$	$76800$	$1.103485$	$-2977540/33$	$0.81863$	$3.57647$	$[0, 1, 0, -8833, -325537]$	\(y^2=x^3+x^2-8833x-325537\)	132.2.0.?	$[(8131/7, 574512/7)]$
52800.gh1	52800gx1	52800.gh	52800gx	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 11 \)	\( - 2^{16} \cdot 3 \cdot 5^{2} \cdot 11 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$132$	$2$	$0$	$1$	$1$		$0$	$15360$	$0.298767$	$-2977540/33$	$0.81863$	$2.68844$	$[0, 1, 0, -353, 2463]$	\(y^2=x^3+x^2-353x+2463\)	132.2.0.?	$[]$
72600.u1	72600v1	72600.u	72600v	$1$	$1$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 11^{2} \)	\( - 2^{10} \cdot 3 \cdot 5^{8} \cdot 11^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$132$	$2$	$0$	$0.808629323$	$1$		$4$	$576000$	$1.955860$	$-2977540/33$	$0.81863$	$4.38856$	$[0, -1, 0, -267208, 53760412]$	\(y^2=x^3-x^2-267208x+53760412\)	132.2.0.?	$[(642, 12100)]$
72600.dt1	72600dt1	72600.dt	72600dt	$1$	$1$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 11^{2} \)	\( - 2^{10} \cdot 3 \cdot 5^{2} \cdot 11^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$132$	$2$	$0$	$1$	$1$		$0$	$115200$	$1.151140$	$-2977540/33$	$0.81863$	$3.52580$	$[0, 1, 0, -10688, 425808]$	\(y^2=x^3+x^2-10688x+425808\)	132.2.0.?	$[]$
145200.cl1	145200ke1	145200.cl	145200ke	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11^{2} \)	\( - 2^{10} \cdot 3 \cdot 5^{2} \cdot 11^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$132$	$2$	$0$	$1$	$1$		$0$	$230400$	$1.151140$	$-2977540/33$	$0.81863$	$3.32019$	$[0, -1, 0, -10688, -425808]$	\(y^2=x^3-x^2-10688x-425808\)	132.2.0.?	$[]$
145200.iq1	145200hb1	145200.iq	145200hb	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11^{2} \)	\( - 2^{10} \cdot 3 \cdot 5^{8} \cdot 11^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$132$	$2$	$0$	$1$	$1$		$0$	$1152000$	$1.955860$	$-2977540/33$	$0.81863$	$4.13263$	$[0, 1, 0, -267208, -53760412]$	\(y^2=x^3+x^2-267208x-53760412\)	132.2.0.?	$[]$
158400.fc1	158400v1	158400.fc	158400v	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 11 \)	\( - 2^{16} \cdot 3^{7} \cdot 5^{8} \cdot 11 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$132$	$2$	$0$	$1$	$1$		$0$	$614400$	$1.652792$	$-2977540/33$	$0.81863$	$3.79884$	$[0, 0, 0, -79500, -8710000]$	\(y^2=x^3-79500x-8710000\)	132.2.0.?	$[]$
158400.gf1	158400lc1	158400.gf	158400lc	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 11 \)	\( - 2^{16} \cdot 3^{7} \cdot 5^{2} \cdot 11 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$132$	$2$	$0$	$0.803042888$	$1$		$4$	$122880$	$0.848073$	$-2977540/33$	$0.81863$	$2.99230$	$[0, 0, 0, -3180, 69680]$	\(y^2=x^3-3180x+69680\)	132.2.0.?	$[(46, 144)]$
158400.jm1	158400eq1	158400.jm	158400eq	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 11 \)	\( - 2^{16} \cdot 3^{7} \cdot 5^{2} \cdot 11 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$132$	$2$	$0$	$3.274089095$	$1$		$2$	$122880$	$0.848073$	$-2977540/33$	$0.81863$	$2.99230$	$[0, 0, 0, -3180, -69680]$	\(y^2=x^3-3180x-69680\)	132.2.0.?	$[(176, 2196)]$
158400.jo1	158400ja1	158400.jo	158400ja	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 11 \)	\( - 2^{16} \cdot 3^{7} \cdot 5^{8} \cdot 11 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$132$	$2$	$0$	$0.538202545$	$1$		$16$	$614400$	$1.652792$	$-2977540/33$	$0.81863$	$3.79884$	$[0, 0, 0, -79500, 8710000]$	\(y^2=x^3-79500x+8710000\)	132.2.0.?	$[(200, 900), (-250, 3600)]$
217800.cn1	217800m1	217800.cn	217800m	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \)	\( - 2^{10} \cdot 3^{7} \cdot 5^{8} \cdot 11^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$132$	$2$	$0$	$5.640489988$	$1$		$2$	$4608000$	$2.505165$	$-2977540/33$	$0.81863$	$4.53259$	$[0, 0, 0, -2404875, -1449126250]$	\(y^2=x^3-2404875x-1449126250\)	132.2.0.?	$[(15059, 1837748)]$
217800.ev1	217800fz1	217800.ev	217800fz	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \)	\( - 2^{10} \cdot 3^{7} \cdot 5^{2} \cdot 11^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$132$	$2$	$0$	$1.945524217$	$1$		$2$	$921600$	$1.700447$	$-2977540/33$	$0.81863$	$3.74695$	$[0, 0, 0, -96195, -11593010]$	\(y^2=x^3-96195x-11593010\)	132.2.0.?	$[(374, 2178)]$
323400.eo1	323400eo1	323400.eo	323400eo	$1$	$1$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 11 \)	\( - 2^{10} \cdot 3 \cdot 5^{2} \cdot 7^{6} \cdot 11 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$132$	$2$	$0$	$3.229239289$	$1$		$2$	$362880$	$0.925148$	$-2977540/33$	$0.81863$	$2.89686$	$[0, -1, 0, -4328, 112092]$	\(y^2=x^3-x^2-4328x+112092\)	132.2.0.?	$[(-14, 412)]$
323400.hr1	323400hr1	323400.hr	323400hr	$1$	$1$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 11 \)	\( - 2^{10} \cdot 3 \cdot 5^{8} \cdot 7^{6} \cdot 11 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$132$	$2$	$0$	$1$	$1$		$0$	$1814400$	$1.729868$	$-2977540/33$	$0.81863$	$3.65802$	$[0, 1, 0, -108208, 13795088]$	\(y^2=x^3+x^2-108208x+13795088\)	132.2.0.?	$[]$
435600.im1	435600im1	435600.im	435600im	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \)	\( - 2^{10} \cdot 3^{7} \cdot 5^{2} \cdot 11^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$132$	$2$	$0$	$2.076693661$	$1$		$4$	$1843200$	$1.700447$	$-2977540/33$	$0.81863$	$3.54692$	$[0, 0, 0, -96195, 11593010]$	\(y^2=x^3-96195x+11593010\)	132.2.0.?	$[(-341, 2178)]$
435600.mb1	435600mb1	435600.mb	435600mb	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \)	\( - 2^{10} \cdot 3^{7} \cdot 5^{8} \cdot 11^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$132$	$2$	$0$	$1$	$1$		$0$	$9216000$	$2.505165$	$-2977540/33$	$0.81863$	$4.29063$	$[0, 0, 0, -2404875, 1449126250]$	\(y^2=x^3-2404875x+1449126250\)	132.2.0.?	$[]$