Elliptic curves over $\Q$ of conductor 606

Results (10 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
606.a1	606b1	606.a	606b	$1$	$1$	\( 2 \cdot 3 \cdot 101 \)	\( - 2^{3} \cdot 3^{2} \cdot 101 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$808$	$2$	$0$	$0.324901658$	$1$		$4$	$48$	$-0.570712$	$9938375/7272$	$0.85279$	$2.51478$	$[1, 0, 1, 4, 2]$	\(y^2+xy+y=x^3+4x+2\)	808.2.0.?	$[(0, 1)]$
606.b1	606a3	606.b	606a	$4$	$4$	\( 2 \cdot 3 \cdot 101 \)	\( 2^{3} \cdot 3^{12} \cdot 101 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.12.0.7	2B	$2424$	$48$	$0$	$1$	$1$		$0$	$792$	$0.729644$	$8944121560009033/429404328$	$0.99229$	$5.73286$	$[1, 0, 1, -4325, -109816]$	\(y^2+xy+y=x^3-4325x-109816\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 24.24.0-24.y.1.8, 404.12.0.?, $\ldots$	$[]$
606.b2	606a4	606.b	606a	$4$	$4$	\( 2 \cdot 3 \cdot 101 \)	\( 2^{3} \cdot 3^{3} \cdot 101^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.12.0.8	2B	$2424$	$48$	$0$	$1$	$1$		$0$	$792$	$0.729644$	$280972764518473/22477046616$	$0.97687$	$5.19274$	$[1, 0, 1, -1365, 17896]$	\(y^2+xy+y=x^3-1365x+17896\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 12.12.0-4.c.1.1, 24.24.0-24.s.1.4, $\ldots$	$[]$
606.b3	606a2	606.b	606a	$4$	$4$	\( 2 \cdot 3 \cdot 101 \)	\( 2^{6} \cdot 3^{6} \cdot 101^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.12.0.1	2Cs	$2424$	$48$	$0$	$1$	$1$		$2$	$396$	$0.383070$	$2547216904393/475937856$	$0.95166$	$4.45865$	$[1, 0, 1, -285, -1544]$	\(y^2+xy+y=x^3-285x-1544\)	2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0-2.a.1.1, 24.24.0-24.b.1.2, 404.12.0.?, $\ldots$	$[]$
606.b4	606a1	606.b	606a	$4$	$4$	\( 2 \cdot 3 \cdot 101 \)	\( - 2^{12} \cdot 3^{3} \cdot 101 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.12.0.12	2B	$2424$	$48$	$0$	$1$	$1$		$1$	$198$	$0.036496$	$4939055927/11169792$	$0.92727$	$3.65043$	$[1, 0, 1, 35, -136]$	\(y^2+xy+y=x^3+35x-136\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 12.12.0-4.c.1.2, 24.24.0-24.y.1.2, $\ldots$	$[]$
606.c1	606c1	606.c	606c	$1$	$1$	\( 2 \cdot 3 \cdot 101 \)	\( - 2 \cdot 3^{2} \cdot 101 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$808$	$2$	$0$	$1$	$1$		$0$	$48$	$-0.417333$	$-3981876625/1818$	$0.89035$	$3.45032$	$[1, 1, 1, -33, -87]$	\(y^2+xy+y=x^3+x^2-33x-87\)	808.2.0.?	$[]$
606.d1	606d1	606.d	606d	$1$	$1$	\( 2 \cdot 3 \cdot 101 \)	\( - 2^{7} \cdot 3^{17} \cdot 101 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$2424$	$2$	$0$	$1$	$1$		$0$	$1428$	$1.028683$	$-250917218570017/1669524027264$	$1.01082$	$5.56928$	$[1, 1, 1, -1314, -65361]$	\(y^2+xy+y=x^3+x^2-1314x-65361\)	2424.2.0.?	$[]$
606.e1	606e1	606.e	606e	$1$	$1$	\( 2 \cdot 3 \cdot 101 \)	\( - 2^{9} \cdot 3^{6} \cdot 101 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$808$	$2$	$0$	$0.024744912$	$1$		$20$	$432$	$0.176852$	$-191202526081/37698048$	$0.93153$	$4.10025$	$[1, 0, 0, -120, 576]$	\(y^2+xy=x^3-120x+576\)	808.2.0.?	$[(0, 24)]$
606.f1	606f1	606.f	606f	$2$	$5$	\( 2 \cdot 3 \cdot 101 \)	\( - 2^{5} \cdot 3^{5} \cdot 101 \)	$0$	$\Z/5\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$5$	5.24.0.1	5B.1.1	$12120$	$48$	$1$	$1$	$1$		$4$	$100$	$-0.048761$	$-80677568161/785376$	$0.91907$	$3.92241$	$[1, 0, 0, -90, 324]$	\(y^2+xy=x^3-90x+324\)	5.24.0-5.a.1.2, 2424.2.0.?, 12120.48.1.?	$[]$
606.f2	606f2	606.f	606f	$2$	$5$	\( 2 \cdot 3 \cdot 101 \)	\( - 2 \cdot 3 \cdot 101^{5} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓		$5$	5.24.0.3	5B.1.2	$12120$	$48$	$1$	$1$	$1$		$0$	$500$	$0.755959$	$23885383766399/63060603006$	$0.98807$	$5.00628$	$[1, 0, 0, 600, -10626]$	\(y^2+xy=x^3+600x-10626\)	5.24.0-5.a.2.2, 2424.2.0.?, 12120.48.1.?	$[]$