Elliptic curve search results

Results (6 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
25050.e2	25050d2	25050.e	25050d	$2$	$3$	\( 2 \cdot 3 \cdot 5^{2} \cdot 167 \)	\( - 2 \cdot 3 \cdot 5^{2} \cdot 167^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$20040$	$16$	$0$	$1$	$1$		$0$	$17712$	$0.380773$	$10758425855/27944778$	$0.88311$	$2.72172$	$[1, 1, 0, 135, -1065]$	\(y^2+xy=x^3+x^2+135x-1065\)	3.4.0.a.1, 15.8.0-3.a.1.1, 4008.8.0.?, 20040.16.0.?	$[]$
25050.w2	25050ba2	25050.w	25050ba	$2$	$3$	\( 2 \cdot 3 \cdot 5^{2} \cdot 167 \)	\( - 2 \cdot 3 \cdot 5^{8} \cdot 167^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.8.0.2	3B.1.2	$4008$	$16$	$0$	$1$	$9$	$3$	$0$	$88560$	$1.185492$	$10758425855/27944778$	$0.88311$	$3.67512$	$[1, 0, 0, 3362, -139858]$	\(y^2+xy=x^3+3362x-139858\)	3.8.0-3.a.1.1, 4008.16.0.?	$[]$
75150.b2	75150y2	75150.b	75150y	$2$	$3$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 167 \)	\( - 2 \cdot 3^{7} \cdot 5^{8} \cdot 167^{3} \)	$0$	$\Z/3\Z$	$\Q$		$\mathrm{SU}(2)$			$3$	3.8.0.1	3B.1.1	$4008$	$16$	$0$	$1$	$1$		$2$	$708480$	$1.734798$	$10758425855/27944778$	$0.88311$	$3.90261$	$[1, -1, 0, 30258, 3776166]$	\(y^2+xy=x^3-x^2+30258x+3776166\)	3.8.0-3.a.1.2, 4008.16.0.?	$[]$
75150.bs2	75150bm2	75150.bs	75150bm	$2$	$3$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 167 \)	\( - 2 \cdot 3^{7} \cdot 5^{2} \cdot 167^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$20040$	$16$	$0$	$4.123183486$	$1$		$0$	$141696$	$0.930079$	$10758425855/27944778$	$0.88311$	$3.04251$	$[1, -1, 1, 1210, 29967]$	\(y^2+xy+y=x^3-x^2+1210x+29967\)	3.4.0.a.1, 15.8.0-3.a.1.2, 4008.8.0.?, 20040.16.0.?	$[(95/2, 2043/2)]$
200400.bc2	200400bf2	200400.bc	200400bf	$2$	$3$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 167 \)	\( - 2^{13} \cdot 3 \cdot 5^{8} \cdot 167^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$4008$	$16$	$0$	$1$	$1$		$0$	$2125440$	$1.878639$	$10758425855/27944778$	$0.88311$	$3.73046$	$[0, -1, 0, 53792, 8950912]$	\(y^2=x^3-x^2+53792x+8950912\)	3.4.0.a.1, 12.8.0-3.a.1.2, 4008.16.0.?	$[]$
200400.bk2	200400j2	200400.bk	200400j	$2$	$3$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 167 \)	\( - 2^{13} \cdot 3 \cdot 5^{2} \cdot 167^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$20040$	$16$	$0$	$2.610115210$	$1$		$2$	$425088$	$1.073919$	$10758425855/27944778$	$0.88311$	$2.93945$	$[0, 1, 0, 2152, 72468]$	\(y^2=x^3+x^2+2152x+72468\)	3.4.0.a.1, 60.8.0-3.a.1.1, 4008.8.0.?, 20040.16.0.?	$[(-18, 168)]$