Elliptic curves over $\Q$ of conductor 136

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
136.a1	136a1	136.a	136a	$2$	$2$	\( 2^{3} \cdot 17 \)	\( 2^{8} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.21	2B	$136$	$48$	$0$	$0.231507992$	$1$		$11$	$8$	$-0.608204$	$35152/17$	$0.75928$	$3.25946$	$[0, 1, 0, -4, 0]$	\(y^2=x^3+x^2-4x\)	2.3.0.a.1, 4.6.0.b.1, 8.12.0-4.b.1.3, 34.6.0.a.1, 68.24.0.f.1, $\ldots$	$[(2, 2)]$
136.a2	136a2	136.a	136a	$2$	$2$	\( 2^{3} \cdot 17 \)	\( - 2^{10} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.12	2B	$136$	$48$	$0$	$0.463015985$	$1$		$9$	$16$	$-0.261630$	$415292/289$	$0.87236$	$4.04429$	$[0, 1, 0, 16, 16]$	\(y^2=x^3+x^2+16x+16\)	2.3.0.a.1, 4.12.0-4.a.1.1, 68.24.0-68.d.1.1, 136.48.0.?	$[(0, 4)]$
136.b1	136b2	136.b	136b	$2$	$2$	\( 2^{3} \cdot 17 \)	\( 2^{11} \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$136$	$12$	$0$	$1$	$1$		$1$	$16$	$-0.131845$	$6097250/289$	$0.87700$	$4.73226$	$[0, -1, 0, -48, 140]$	\(y^2=x^3-x^2-48x+140\)	2.3.0.a.1, 8.6.0.b.1, 68.6.0.c.1, 136.12.0.?	$[]$
136.b2	136b1	136.b	136b	$2$	$2$	\( 2^{3} \cdot 17 \)	\( 2^{10} \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.1	2B	$136$	$12$	$0$	$1$	$1$		$1$	$8$	$-0.478419$	$62500/17$	$0.89869$	$3.65879$	$[0, -1, 0, -8, -4]$	\(y^2=x^3-x^2-8x-4\)	2.3.0.a.1, 8.6.0.c.1, 34.6.0.a.1, 136.12.0.?	$[]$