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

• Label: 364815a
• Number of curves: $1$
• Conductor: $364815$
• CM: no
• Rank: $2$

Rank

The elliptic curve 364815a1 has rank \(2\).

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 \(\mathbb{F}_p\)
\(2\)	\( 1 + 2 T + 2 T^{2}\)	1.2.c
\(7\)	\( 1 + 4 T + 7 T^{2}\)	1.7.e
\(13\)	\( 1 + 6 T + 13 T^{2}\)	1.13.g
\(17\)	\( 1 + 7 T + 17 T^{2}\)	1.17.h
\(19\)	\( 1 - 4 T + 19 T^{2}\)	1.19.ae
\(23\)	\( 1 - 8 T + 23 T^{2}\)	1.23.ai
\(29\)	\( 1 + 2 T + 29 T^{2}\)	1.29.c
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

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

Modular form 364815.2.a.a

Elliptic curves in class 364815a

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
364815.a1	364815a1	\([0, 0, 1, 33, 580]\)	\(45056/1675\)	\(-147750075\)	\([]\)	\(248832\)	\(0.24748\)	\(\Gamma_0(N)\)-optimal