Elliptic curve isogeny class with LMFDB label 364815.bf (Cremona label 364815bf)

• Label: 364815.bf
• Number of curves: $1$
• Conductor: $364815$
• CM: no
• Rank: $0$

Rank

The elliptic curve 364815.bf1 has rank \(0\).

L-function data

Bad L-factors:

Prime	L-Factor
\(3\)	\(1\)
\(5\)	\(1 - T\)
\(11\)	\(1\)
\(67\)	\(1 + T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(2\)	\( 1 - T + 2 T^{2}\)	1.2.ab
\(7\)	\( 1 + 7 T^{2}\)	1.7.a
\(13\)	\( 1 + 13 T^{2}\)	1.13.a
\(17\)	\( 1 - 6 T + 17 T^{2}\)	1.17.ag
\(19\)	\( 1 + 3 T + 19 T^{2}\)	1.19.d
\(23\)	\( 1 - 3 T + 23 T^{2}\)	1.23.ad
\(29\)	\( 1 + 3 T + 29 T^{2}\)	1.29.d
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 364815.bf do not have complex multiplication.

Modular form 364815.2.a.bf

Elliptic curves in class 364815.bf

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
364815.bf1	364815bf1	\([1, -1, 0, 7056, 1427575]\)	\(3639707951/84796875\)	\(-905061553171875\)	\([]\)	\(1271808\)	\(1.5501\)	\(\Gamma_0(N)\)-optimal