Elliptic curves over $\Q$ of conductor 105

Results (4 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
105.a1	105a3	105.a	105a	$4$	$4$	\( 3 \cdot 5 \cdot 7 \)	\( 3 \cdot 5^{4} \cdot 7 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	4.12.0.8	2B	$840$	$48$	$0$	$1$	$1$		$0$	$16$	$-0.165962$	$157551496201/13125$	$0.96087$	$5.54002$	$[1, 0, 1, -113, -469]$	\(y^2+xy+y=x^3-113x-469\)	2.3.0.a.1, 4.12.0-4.c.1.2, 40.24.0-40.ba.1.12, 42.6.0.a.1, 84.24.0.?, $\ldots$	$[]$
105.a2	105a2	105.a	105a	$4$	$4$	\( 3 \cdot 5 \cdot 7 \)	\( 3^{2} \cdot 5^{2} \cdot 7^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	4.12.0.1	2Cs	$420$	$48$	$0$	$1$	$1$		$2$	$8$	$-0.512536$	$47045881/11025$	$1.04751$	$3.79604$	$[1, 0, 1, -8, -7]$	\(y^2+xy+y=x^3-8x-7\)	2.6.0.a.1, 4.12.0-2.a.1.1, 20.24.0-20.a.1.1, 84.24.0.?, 420.48.0.?	$[]$
105.a3	105a1	105.a	105a	$4$	$4$	\( 3 \cdot 5 \cdot 7 \)	\( 3 \cdot 5 \cdot 7 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.12.0.6	2B	$840$	$48$	$0$	$1$	$1$		$1$	$4$	$-0.859109$	$1771561/105$	$0.96659$	$3.09143$	$[1, 0, 1, -3, 1]$	\(y^2+xy+y=x^3-3x+1\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 20.12.0-4.c.1.2, 40.24.0-40.ba.1.10, $\ldots$	$[]$
105.a4	105a4	105.a	105a	$4$	$4$	\( 3 \cdot 5 \cdot 7 \)	\( - 3^{4} \cdot 5 \cdot 7^{4} \)	$0$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	4.12.0.7	2B	$840$	$48$	$0$	$1$	$1$		$2$	$16$	$-0.165962$	$590589719/972405$	$0.94478$	$4.47129$	$[1, 0, 1, 17, -37]$	\(y^2+xy+y=x^3+17x-37\)	2.3.0.a.1, 4.12.0-4.c.1.1, 20.24.0-20.h.1.2, 168.24.0.?, 840.48.0.?	$[]$