Elliptic curve isogeny class with LMFDB label 94320.be (Cremona label 94320bl)

• Label: 94320.be
• Number of curves: $1$
• Conductor: $94320$
• CM: no
• Rank: $2$

Rank

The elliptic curve 94320.be1 has rank \(2\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(3\)	\(1\)
\(5\)	\(1 - T\)
\(131\)	\(1 + T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(7\)	\( 1 + T + 7 T^{2}\)	1.7.b
\(11\)	\( 1 - 2 T + 11 T^{2}\)	1.11.ac
\(13\)	\( 1 + 4 T + 13 T^{2}\)	1.13.e
\(17\)	\( 1 + 4 T + 17 T^{2}\)	1.17.e
\(19\)	\( 1 + T + 19 T^{2}\)	1.19.b
\(23\)	\( 1 + 8 T + 23 T^{2}\)	1.23.i
\(29\)	\( 1 + 9 T + 29 T^{2}\)	1.29.j
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 94320.be do not have complex multiplication.

Modular form 94320.2.a.be

Elliptic curves in class 94320.be

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
94320.be1	94320bl1	\([0, 0, 0, 213, -134566]\)	\(357911/2620000\)	\(-7823278080000\)	\([]\)	\(138240\)	\(1.1529\)	\(\Gamma_0(N)\)-optimal