Elliptic curve isogeny class with LMFDB label 129472.m (Cremona label 129472cr)

• Label: 129472.m
• Number of curves: $1$
• Conductor: $129472$
• CM: no
• Rank: $1$

Rank

The elliptic curve 129472.m1 has rank \(1\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(7\)	\(1 + T\)
\(17\)	\(1\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(3\)	\( 1 + 2 T + 3 T^{2}\)	1.3.c
\(5\)	\( 1 + 2 T + 5 T^{2}\)	1.5.c
\(11\)	\( 1 + 11 T^{2}\)	1.11.a
\(13\)	\( 1 + 4 T + 13 T^{2}\)	1.13.e
\(19\)	\( 1 - 6 T + 19 T^{2}\)	1.19.ag
\(23\)	\( 1 - T + 23 T^{2}\)	1.23.ab
\(29\)	\( 1 - 7 T + 29 T^{2}\)	1.29.ah
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 129472.m do not have complex multiplication.

Modular form 129472.2.a.m

Elliptic curves in class 129472.m

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
129472.m1	129472cr1	\([0, 1, 0, 6551, -270033]\)	\(4352/7\)	\(-50002229337088\)	\([]\)	\(293760\)	\(1.3137\)	\(\Gamma_0(N)\)-optimal