Elliptic curves over Q\Q of conductor 24

Results (6 matches)

  Download displayed columns for results to

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
24.a1	24a5	24.a	24a	$6$	$8$	$2^{3} \cdot 3$	$2^{11} \cdot 3^{2}$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.96.0.135	2B	$48$	$192$	$1$	$1$	$1$		$1$	$4$	$0.047795$	$3065617154/9$	$1.21059$	$9.27238$	$[0, -1, 0, -384, -2772]$	$y^2=x^3-x^2-384x-2772$	2.3.0.a.1, 4.12.0-4.c.1.2, 8.48.0-8.r.1.6, 16.96.0-16.l.1.6, 24.96.0-24.bf.1.4, $\ldots$	$[]$
24.a2	24a3	24.a	24a	$6$	$8$	$2^{3} \cdot 3$	$2^{10} \cdot 3$	$0$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.96.0.106	2B	$48$	$192$	$1$	$1$	$1$		$3$	$2$	$-0.298779$	$28756228/3$	$1.05617$	$7.58509$	$[0, -1, 0, -64, 220]$	$y^2=x^3-x^2-64x+220$	2.3.0.a.1, 4.12.0-4.c.1.1, 8.48.0-8.bb.2.4, 12.24.0-12.h.1.2, 16.96.0-16.bb.2.4, $\ldots$	$[]$
24.a3	24a2	24.a	24a	$6$	$8$	$2^{3} \cdot 3$	$2^{10} \cdot 3^{4}$	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.96.0.49	2Cs	$24$	$192$	$1$	$1$	$1$		$3$	$2$	$-0.298779$	$1556068/81$	$1.03212$	$6.66733$	$[0, -1, 0, -24, -36]$	$y^2=x^3-x^2-24x-36$	2.6.0.a.1, 4.24.0-4.b.1.1, 8.96.0-8.e.2.2, 24.192.1-24.bl.2.4	$[]$
24.a4	24a1	24.a	24a	$6$	$8$	$2^{3} \cdot 3$	$2^{8} \cdot 3^{2}$	$0$	$\Z/2\Z\oplus\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.96.0.42	2Cs	$24$	$192$	$1$	$1$	$1$		$7$	$1$	$-0.645352$	$35152/9$	$0.97255$	$5.03850$	$[0, -1, 0, -4, 4]$	$y^2=x^3-x^2-4x+4$	2.6.0.a.1, 4.24.0-4.b.1.3, 8.96.0-8.h.1.6, 12.48.0-12.c.1.1, 24.192.1-24.bu.1.7	$[]$
24.a5	24a4	24.a	24a	$6$	$8$	$2^{3} \cdot 3$	$- 2^{4} \cdot 3$	$0$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.96.0.110	2B	$48$	$192$	$1$	$1$	$1$		$3$	$2$	$-0.991926$	$2048/3$	$1.17572$	$3.40564$	$[0, -1, 0, 1, 0]$	$y^2=x^3-x^2+x$	2.3.0.a.1, 4.12.0-4.c.1.1, 6.6.0.a.1, 8.48.0-8.ba.1.2, 12.24.0-12.g.1.2, $\ldots$	$[]$
24.a6	24a6	24.a	24a	$6$	$8$	$2^{3} \cdot 3$	$- 2^{11} \cdot 3^{8}$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.96.0.166	2B	$48$	$192$	$1$	$1$	$1$		$1$	$4$	$0.047795$	$207646/6561$	$1.15980$	$7.50451$	$[0, -1, 0, 16, -180]$	$y^2=x^3-x^2+16x-180$	2.3.0.a.1, 4.12.0-4.c.1.2, 8.96.0-8.m.1.2, 48.192.1-48.w.2.4	$[]$

  Download displayed columns for results to