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
10002.d1	10002d1	10002.d	10002d	$1$	$1$	\( 2 \cdot 3 \cdot 1667 \)	\( 2^{9} \cdot 3 \cdot 1667 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$40008$	$2$	$0$	$0.213500995$	$1$		$6$	$2736$	$0.180284$	$4906933498657/2560512$	$0.87069$	$3.17263$	$[1, 1, 1, -354, 2415]$	\(y^2+xy+y=x^3+x^2-354x+2415\)	40008.2.0.?	$[(9, 3)]$
30006.b1	30006a1	30006.b	30006a	$1$	$1$	\( 2 \cdot 3^{2} \cdot 1667 \)	\( 2^{9} \cdot 3^{7} \cdot 1667 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$40008$	$2$	$0$	$1$	$1$		$0$	$21888$	$0.729590$	$4906933498657/2560512$	$0.87069$	$3.47394$	$[1, -1, 0, -3186, -68396]$	\(y^2+xy=x^3-x^2-3186x-68396\)	40008.2.0.?	$[]$
80016.c1	80016d1	80016.c	80016d	$1$	$1$	\( 2^{4} \cdot 3 \cdot 1667 \)	\( 2^{21} \cdot 3 \cdot 1667 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$40008$	$2$	$0$	$3.588928503$	$1$		$0$	$65664$	$0.873431$	$4906933498657/2560512$	$0.87069$	$3.32502$	$[0, 1, 0, -5664, -165900]$	\(y^2=x^3+x^2-5664x-165900\)	40008.2.0.?	$[(-2182/7, 384/7)]$
240048.h1	240048h1	240048.h	240048h	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 1667 \)	\( 2^{21} \cdot 3^{7} \cdot 1667 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$40008$	$2$	$0$	$1$	$1$		$0$	$525312$	$1.422737$	$4906933498657/2560512$	$0.87069$	$3.56224$	$[0, 0, 0, -50979, 4428322]$	\(y^2=x^3-50979x+4428322\)	40008.2.0.?	$[]$
250050.u1	250050u1	250050.u	250050u	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 1667 \)	\( 2^{9} \cdot 3 \cdot 5^{6} \cdot 1667 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$40008$	$2$	$0$	$1$	$1$		$0$	$350208$	$0.985003$	$4906933498657/2560512$	$0.87069$	$3.12793$	$[1, 0, 1, -8851, 319598]$	\(y^2+xy+y=x^3-8851x+319598\)	40008.2.0.?	$[]$
320064.f1	320064f1	320064.f	320064f	$1$	$1$	\( 2^{6} \cdot 3 \cdot 1667 \)	\( 2^{27} \cdot 3 \cdot 1667 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$40008$	$2$	$0$	$5.966718392$	$1$		$0$	$525312$	$1.220005$	$4906933498657/2560512$	$0.87069$	$3.28948$	$[0, -1, 0, -22657, -1304543]$	\(y^2=x^3-x^2-22657x-1304543\)	40008.2.0.?	$[(-46203/23, 254464/23)]$
320064.l1	320064l1	320064.l	320064l	$1$	$1$	\( 2^{6} \cdot 3 \cdot 1667 \)	\( 2^{27} \cdot 3 \cdot 1667 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$40008$	$2$	$0$	$5.282427674$	$1$		$4$	$525312$	$1.220005$	$4906933498657/2560512$	$0.87069$	$3.28948$	$[0, 1, 0, -22657, 1304543]$	\(y^2=x^3+x^2-22657x+1304543\)	40008.2.0.?	$[(-53, 1536), (82, 69)]$
490098.w1	490098w1	490098.w	490098w	$1$	$1$	\( 2 \cdot 3 \cdot 7^{2} \cdot 1667 \)	\( 2^{9} \cdot 3 \cdot 7^{6} \cdot 1667 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$40008$	$2$	$0$	$2.929828526$	$1$		$0$	$984960$	$1.153238$	$4906933498657/2560512$	$0.87069$	$3.12136$	$[1, 0, 0, -17347, -880447]$	\(y^2+xy=x^3-17347x-880447\)	40008.2.0.?	$[(-1874/5, 5861/5)]$