Elliptic curve isogeny class with Cremona label 30064a (LMFDB label 30064.e)

• Label: 30064a
• Number of curves: $1$
• Conductor: $30064$
• CM: no
• Rank: $1$

Rank

The elliptic curve 30064a1 has rank \(1\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(1879\)	\(1 + T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(3\)	\( 1 + 2 T + 3 T^{2}\)	1.3.c
\(5\)	\( 1 + 3 T + 5 T^{2}\)	1.5.d
\(7\)	\( 1 + 3 T + 7 T^{2}\)	1.7.d
\(11\)	\( 1 + 6 T + 11 T^{2}\)	1.11.g
\(13\)	\( 1 + 6 T + 13 T^{2}\)	1.13.g
\(17\)	\( 1 + 3 T + 17 T^{2}\)	1.17.d
\(19\)	\( 1 + 8 T + 19 T^{2}\)	1.19.i
\(23\)	\( 1 + 2 T + 23 T^{2}\)	1.23.c
\(29\)	\( 1 + 9 T + 29 T^{2}\)	1.29.j
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 30064a do not have complex multiplication.

Modular form 30064.2.a.a

Elliptic curves in class 30064a

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
30064.e1	30064a1	\([0, 0, 0, -1031, 12742]\)	\(-473434325712/1879\)	\(-481024\)	\([]\)	\(6656\)	\(0.30222\)	\(\Gamma_0(N)\)-optimal