Elliptic curve isogeny class with LMFDB label 358974.bf (Cremona label 358974bf)

• Label: 358974.bf
• Number of curves: $1$
• Conductor: $358974$
• CM: no
• Rank: $1$

Rank

The elliptic curve 358974.bf1 has rank \(1\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1 + T\)
\(3\)	\(1\)
\(7\)	\(1\)
\(11\)	\(1 + T\)
\(37\)	\(1 - T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(5\)	\( 1 + 5 T^{2}\)	1.5.a
\(13\)	\( 1 + T + 13 T^{2}\)	1.13.b
\(17\)	\( 1 + 3 T + 17 T^{2}\)	1.17.d
\(19\)	\( 1 + 4 T + 19 T^{2}\)	1.19.e
\(23\)	\( 1 + 3 T + 23 T^{2}\)	1.23.d
\(29\)	\( 1 + 2 T + 29 T^{2}\)	1.29.c
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 358974.bf do not have complex multiplication.

Modular form 358974.2.a.bf

Elliptic curves in class 358974.bf

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
358974.bf1	358974bf1	\([1, -1, 0, 33, -1331]\)	\(2953125/573056\)	\(-758153088\)	\([]\)	\(123648\)	\(0.38311\)	\(\Gamma_0(N)\)-optimal