Elliptic curves over $\Q$ of conductor 96

Results (8 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
96.a1	96b2	96.a	96b	$4$	$4$	\( 2^{5} \cdot 3 \)	\( 2^{9} \cdot 3 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.102	2B	$24$	$48$	$0$	$1$	$1$		$1$	$8$	$-0.426220$	$7301384/3$	$1.03749$	$4.82914$	$[0, -1, 0, -32, -60]$	\(y^2=x^3-x^2-32x-60\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.m.1.5, 12.12.0-4.c.1.2, 24.48.0-24.bi.1.3	$[]$
96.a2	96b3	96.a	96b	$4$	$4$	\( 2^{5} \cdot 3 \)	\( 2^{12} \cdot 3 \)	$0$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.53	2B	$24$	$48$	$0$	$1$	$1$		$3$	$8$	$-0.426220$	$140608/3$	$1.02705$	$4.41936$	$[0, -1, 0, -17, 33]$	\(y^2=x^3-x^2-17x+33\)	2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.m.1.1, 12.24.0-12.h.1.2, 24.48.0-24.bk.1.4	$[]$
96.a3	96b1	96.a	96b	$4$	$4$	\( 2^{5} \cdot 3 \)	\( 2^{6} \cdot 3^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.4	2Cs	$24$	$48$	$0$	$1$	$1$		$3$	$4$	$-0.772794$	$21952/9$	$1.09175$	$3.10132$	$[0, -1, 0, -2, 0]$	\(y^2=x^3-x^2-2x\)	2.6.0.a.1, 4.12.0-2.a.1.1, 8.24.0-8.b.1.2, 12.24.0-12.a.1.1, 24.48.0-24.f.1.3	$[]$
96.a4	96b4	96.a	96b	$4$	$4$	\( 2^{5} \cdot 3 \)	\( - 2^{9} \cdot 3^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.59	2B	$24$	$48$	$0$	$1$	$1$		$1$	$8$	$-0.426220$	$97336/81$	$1.05989$	$3.88319$	$[0, -1, 0, 8, -8]$	\(y^2=x^3-x^2+8x-8\)	2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.d.1.1, 24.48.0-24.n.1.7	$[]$
96.b1	96a3	96.b	96a	$4$	$4$	\( 2^{5} \cdot 3 \)	\( 2^{9} \cdot 3 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.104	2B	$24$	$48$	$0$	$1$	$1$		$1$	$8$	$-0.426220$	$7301384/3$	$1.03749$	$4.82914$	$[0, 1, 0, -32, 60]$	\(y^2=x^3+x^2-32x+60\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.m.1.7, 12.12.0-4.c.1.1, 24.48.0-24.bi.1.4	$[]$
96.b2	96a2	96.b	96a	$4$	$4$	\( 2^{5} \cdot 3 \)	\( 2^{12} \cdot 3 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.63	2B	$24$	$48$	$0$	$1$	$1$		$1$	$8$	$-0.426220$	$140608/3$	$1.02705$	$4.41936$	$[0, 1, 0, -17, -33]$	\(y^2=x^3+x^2-17x-33\)	2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.m.1.3, 12.24.0-12.h.1.1, 24.48.0-24.bk.1.1	$[]$
96.b3	96a1	96.b	96a	$4$	$4$	\( 2^{5} \cdot 3 \)	\( 2^{6} \cdot 3^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.3	2Cs	$24$	$48$	$0$	$1$	$1$		$3$	$4$	$-0.772794$	$21952/9$	$1.09175$	$3.10132$	$[0, 1, 0, -2, 0]$	\(y^2=x^3+x^2-2x\)	2.6.0.a.1, 4.12.0-2.a.1.1, 8.24.0-8.b.1.1, 12.24.0-12.a.1.2, 24.48.0-24.f.1.2	$[]$
96.b4	96a4	96.b	96a	$4$	$4$	\( 2^{5} \cdot 3 \)	\( - 2^{9} \cdot 3^{4} \)	$0$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.48	2B	$24$	$48$	$0$	$1$	$1$		$3$	$8$	$-0.426220$	$97336/81$	$1.05989$	$3.88319$	$[0, 1, 0, 8, 8]$	\(y^2=x^3+x^2+8x+8\)	2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.d.1.2, 24.48.0-24.n.1.5	$[]$