Elliptic curves over $\Q$ of conductor 38

Results (5 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	Weierstrass coefficients	Weierstrass equation	mod-$m$ images
38.a1	38a2	38.a	38a	$3$	$9$	\( 2 \cdot 19 \)	\( - 2^{27} \cdot 19 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓		$3$	27.72.0.2	3B.1.2	$4104$	$1296$	$43$	$1$	$1$		$0$	$18$	$0.485169$	$-69173457625/2550136832$	$[1, 0, 1, -86, -2456]$	\(y^2+xy+y=x^3-86x-2456\)	3.8.0-3.a.1.1, 9.24.0-9.a.1.1, 27.72.0-27.a.1.1, 152.2.0.?, 171.72.0.?, $\ldots$
38.a2	38a3	38.a	38a	$3$	$9$	\( 2 \cdot 19 \)	\( - 2^{3} \cdot 19 \)	$0$	$\Z/3\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$3$	27.72.0.1	3B.1.1	$4104$	$1296$	$43$	$1$	$1$		$2$	$18$	$-0.613442$	$-413493625/152$	$[1, 0, 1, -16, 22]$	\(y^2+xy+y=x^3-16x+22\)	3.8.0-3.a.1.2, 9.24.0-9.a.1.2, 27.72.0-27.a.1.2, 152.2.0.?, 171.72.0.?, $\ldots$
38.a3	38a1	38.a	38a	$3$	$9$	\( 2 \cdot 19 \)	\( - 2^{9} \cdot 19^{3} \)	$0$	$\Z/3\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$3$	9.72.0.3	3Cs.1.1	$4104$	$1296$	$43$	$1$	$1$		$2$	$6$	$-0.064137$	$94196375/3511808$	$[1, 0, 1, 9, 90]$	\(y^2+xy+y=x^3+9x+90\)	3.24.0-3.a.1.1, 9.72.0-9.b.1.1, 152.2.0.?, 171.216.4.?, 456.48.1.?, $\ldots$
38.b1	38b2	38.b	38b	$2$	$5$	\( 2 \cdot 19 \)	\( - 2 \cdot 19^{5} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓		$5$	5.24.0.3	5B.1.2	$760$	$48$	$1$	$1$	$1$		$0$	$10$	$0.017785$	$-37966934881/4952198$	$[1, 1, 1, -70, -279]$	\(y^2+xy+y=x^3+x^2-70x-279\)	5.24.0-5.a.2.2, 152.2.0.?, 760.48.1.?
38.b2	38b1	38.b	38b	$2$	$5$	\( 2 \cdot 19 \)	\( - 2^{5} \cdot 19 \)	$0$	$\Z/5\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$5$	5.24.0.1	5B.1.1	$760$	$48$	$1$	$1$	$1$		$4$	$2$	$-0.786934$	$-1/608$	$[1, 1, 1, 0, 1]$	\(y^2+xy+y=x^3+x^2+1\)	5.24.0-5.a.1.2, 152.2.0.?, 760.48.1.?