Elliptic curve isogeny class with LMFDB label 124950.x (Cremona label 124950a)

• Label: 124950.x
• Number of curves: $1$
• Conductor: $124950$
• CM: no
• Rank: $1$

Rank

The elliptic curve 124950.x1 has rank \(1\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1 + T\)
\(3\)	\(1 + T\)
\(5\)	\(1\)
\(7\)	\(1\)
\(17\)	\(1 + T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(11\)	\( 1 + T + 11 T^{2}\)	1.11.b
\(13\)	\( 1 + 3 T + 13 T^{2}\)	1.13.d
\(19\)	\( 1 + 4 T + 19 T^{2}\)	1.19.e
\(23\)	\( 1 - 4 T + 23 T^{2}\)	1.23.ae
\(29\)	\( 1 - 8 T + 29 T^{2}\)	1.29.ai
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 124950.x do not have complex multiplication.

Modular form 124950.2.a.x

Elliptic curves in class 124950.x

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
124950.x1	124950a1	\([1, 1, 0, 28373425, 65710027125]\)	\(44871916070975/59088768912\)	\(-3326513614381508906250000\)	\([]\)	\(20885760\)	\(3.3912\)	\(\Gamma_0(N)\)-optimal