Elliptic curves over $\Q$ of conductor 35

Results (3 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
35.a1	35a2	35.a	35a	$3$	$9$	\( 5 \cdot 7 \)	\( - 5^{9} \cdot 7 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓		$3$	9.24.0.3	3B.1.2	$630$	$144$	$3$	$1$	$1$		$0$	$6$	$0.127462$	$-250523582464/13671875$	$1.02112$	$7.40770$	$[0, 1, 1, -131, -650]$	\(y^2+y=x^3+x^2-131x-650\)	3.8.0-3.a.1.1, 9.24.0-9.a.1.1, 63.72.0-63.e.2.2, 70.2.0.a.1, 210.16.0.?, $\ldots$	$[]$
35.a2	35a3	35.a	35a	$3$	$9$	\( 5 \cdot 7 \)	\( - 5 \cdot 7 \)	$0$	$\Z/3\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$3$	9.24.0.1	3B.1.1	$630$	$144$	$3$	$1$	$1$		$2$	$6$	$-0.971150$	$-262144/35$	$0.88715$	$3.56765$	$[0, 1, 1, -1, 0]$	\(y^2+y=x^3+x^2-x\)	3.8.0-3.a.1.2, 9.24.0-9.a.1.2, 63.72.0-63.e.1.2, 70.2.0.a.1, 210.16.0.?, $\ldots$	$[]$
35.a3	35a1	35.a	35a	$3$	$9$	\( 5 \cdot 7 \)	\( - 5^{3} \cdot 7^{3} \)	$0$	$\Z/3\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$3$	3.24.0.1	3Cs.1.1	$630$	$144$	$3$	$1$	$1$		$2$	$2$	$-0.421844$	$71991296/42875$	$1.06493$	$5.08869$	$[0, 1, 1, 9, 1]$	\(y^2+y=x^3+x^2+9x+1\)	3.24.0-3.a.1.1, 63.72.0-63.b.1.3, 70.2.0.a.1, 210.48.1.?, 630.144.3.?	$[]$