Elliptic curve isogeny class with LMFDB label 69360.f (Cremona label 69360ch)

• Label: 69360.f
• Number of curves: $1$
• Conductor: $69360$
• CM: no
• Rank: $0$

Rank

The elliptic curve 69360.f1 has rank \(0\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(3\)	\(1 + T\)
\(5\)	\(1 + T\)
\(17\)	\(1\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(7\)	\( 1 + 3 T + 7 T^{2}\)	1.7.d
\(11\)	\( 1 - 3 T + 11 T^{2}\)	1.11.ad
\(13\)	\( 1 + 4 T + 13 T^{2}\)	1.13.e
\(19\)	\( 1 + T + 19 T^{2}\)	1.19.b
\(23\)	\( 1 + 4 T + 23 T^{2}\)	1.23.e
\(29\)	\( 1 - 3 T + 29 T^{2}\)	1.29.ad
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 69360.f do not have complex multiplication.

Modular form 69360.2.a.f

Elliptic curves in class 69360.f

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
69360.f1	69360ch1	\([0, -1, 0, -355566, -81510609]\)	\(-12872772702976/3984375\)	\(-1538770023750000\)	\([]\)	\(580608\)	\(1.8906\)	\(\Gamma_0(N)\)-optimal