Elliptic curve isogeny class with Cremona label 69366t (LMFDB label 69366.t)

• Label: 69366t
• Number of curves: $1$
• Conductor: $69366$
• CM: no
• Rank: $1$

Rank

The elliptic curve 69366t1 has rank \(1\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1 - T\)
\(3\)	\(1 - T\)
\(11\)	\(1 + T\)
\(1051\)	\(1 + T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(5\)	\( 1 + 2 T + 5 T^{2}\)	1.5.c
\(7\)	\( 1 - 3 T + 7 T^{2}\)	1.7.ad
\(13\)	\( 1 + 2 T + 13 T^{2}\)	1.13.c
\(17\)	\( 1 + 17 T^{2}\)	1.17.a
\(19\)	\( 1 - 2 T + 19 T^{2}\)	1.19.ac
\(23\)	\( 1 - T + 23 T^{2}\)	1.23.ab
\(29\)	\( 1 + 29 T^{2}\)	1.29.a
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 69366t do not have complex multiplication.

Modular form 69366.2.a.t

Isogeny graph

Elliptic curves in class 69366t

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
69366.t1	69366t1	\([1, 0, 0, -259, -1831]\)	\(-1921886786737/302158296\)	\(-302158296\)	\([]\)	\(27648\)	\(0.35567\)	\(\Gamma_0(N)\)-optimal