Elliptic curve isogeny class with LMFDB label 330096.o (Cremona label 330096o)

• Label: 330096.o
• Number of curves: $1$
• Conductor: $330096$
• CM: no
• Rank: $1$

Rank

The elliptic curve 330096.o1 has rank \(1\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(3\)	\(1 + T\)
\(13\)	\(1 - T\)
\(23\)	\(1\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(5\)	\( 1 + 2 T + 5 T^{2}\)	1.5.c
\(7\)	\( 1 - 5 T + 7 T^{2}\)	1.7.af
\(11\)	\( 1 - 3 T + 11 T^{2}\)	1.11.ad
\(17\)	\( 1 + 8 T + 17 T^{2}\)	1.17.i
\(19\)	\( 1 + 2 T + 19 T^{2}\)	1.19.c
\(29\)	\( 1 - 5 T + 29 T^{2}\)	1.29.af
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 330096.o do not have complex multiplication.

Modular form 330096.2.a.o

Isogeny graph

Elliptic curves in class 330096.o

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
330096.o1	330096o1	\([0, -1, 0, -38264, -2868336]\)	\(-10810975154/507\)	\(-290568984576\)	\([]\)	\(1300992\)	\(1.2740\)	\(\Gamma_0(N)\)-optimal