Elliptic curve search results

Results (8 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
24563.a1	24563d1	24563.a	24563d	$1$	$1$	\( 7 \cdot 11^{2} \cdot 29 \)	\( - 7 \cdot 11^{4} \cdot 29 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$406$	$2$	$0$	$0.346721636$	$1$		$14$	$7872$	$-0.049578$	$-495616/203$	$0.66606$	$2.29897$	$[0, -1, 1, -40, 142]$	\(y^2+y=x^3-x^2-40x+142\)	406.2.0.?	$[(4, 5), (26, 126)]$
24563.i1	24563i1	24563.i	24563i	$1$	$1$	\( 7 \cdot 11^{2} \cdot 29 \)	\( - 7 \cdot 11^{10} \cdot 29 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$406$	$2$	$0$	$1$	$4$	$2$	$0$	$86592$	$1.149370$	$-495616/203$	$0.66606$	$3.72220$	$[0, -1, 1, -4880, -169863]$	\(y^2+y=x^3-x^2-4880x-169863\)	406.2.0.?	$[]$
171941.f1	171941f1	171941.f	171941f	$1$	$1$	\( 7^{2} \cdot 11^{2} \cdot 29 \)	\( - 7^{7} \cdot 11^{4} \cdot 29 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$406$	$2$	$0$	$1.501880222$	$1$		$2$	$377856$	$0.923377$	$-495616/203$	$0.66606$	$2.89640$	$[0, 1, 1, -1976, -44852]$	\(y^2+y=x^3+x^2-1976x-44852\)	406.2.0.?	$[(128, 1347)]$
171941.x1	171941x1	171941.x	171941x	$1$	$1$	\( 7^{2} \cdot 11^{2} \cdot 29 \)	\( - 7^{7} \cdot 11^{10} \cdot 29 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$406$	$2$	$0$	$1$	$16$	$2$	$0$	$4156416$	$2.122326$	$-495616/203$	$0.66606$	$4.08988$	$[0, 1, 1, -239136, 58741183]$	\(y^2+y=x^3+x^2-239136x+58741183\)	406.2.0.?	$[]$
221067.b1	221067a1	221067.b	221067a	$1$	$1$	\( 3^{2} \cdot 7 \cdot 11^{2} \cdot 29 \)	\( - 3^{6} \cdot 7 \cdot 11^{10} \cdot 29 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$406$	$2$	$0$	$1$	$4$	$2$	$0$	$2597760$	$1.698677$	$-495616/203$	$0.66606$	$3.59325$	$[0, 0, 1, -43923, 4630216]$	\(y^2+y=x^3-43923x+4630216\)	406.2.0.?	$[]$
221067.bk1	221067bk1	221067.bk	221067bk	$1$	$1$	\( 3^{2} \cdot 7 \cdot 11^{2} \cdot 29 \)	\( - 3^{6} \cdot 7 \cdot 11^{4} \cdot 29 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$406$	$2$	$0$	$1$	$16$	$2$	$0$	$236160$	$0.499729$	$-495616/203$	$0.66606$	$2.42414$	$[0, 0, 1, -363, -3479]$	\(y^2+y=x^3-363x-3479\)	406.2.0.?	$[]$
393008.bo1	393008bo1	393008.bo	393008bo	$1$	$1$	\( 2^{4} \cdot 7 \cdot 11^{2} \cdot 29 \)	\( - 2^{12} \cdot 7 \cdot 11^{10} \cdot 29 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$406$	$2$	$0$	$35.37937902$	$1$		$4$	$3463680$	$1.842518$	$-495616/203$	$0.66606$	$3.56676$	$[0, 1, 0, -78085, 10949299]$	\(y^2=x^3+x^2-78085x+10949299\)	406.2.0.?	$[(294, 3673), (-330, 943)]$
393008.bq1	393008bq1	393008.bq	393008bq	$1$	$1$	\( 2^{4} \cdot 7 \cdot 11^{2} \cdot 29 \)	\( - 2^{12} \cdot 7 \cdot 11^{4} \cdot 29 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$406$	$2$	$0$	$1$	$4$	$2$	$0$	$314880$	$0.643570$	$-495616/203$	$0.66606$	$2.44986$	$[0, 1, 0, -645, -8461]$	\(y^2=x^3+x^2-645x-8461\)	406.2.0.?	$[]$