Elliptic curve isogeny class with Cremona label 124950bg (LMFDB label 124950.b)

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

Rank

The elliptic curve 124950bg1 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 \(\mathbb{F}_p\)
\(11\)	\( 1 + 11 T^{2}\)	1.11.a
\(13\)	\( 1 - T + 13 T^{2}\)	1.13.ab
\(19\)	\( 1 - 5 T + 19 T^{2}\)	1.19.af
\(23\)	\( 1 + 23 T^{2}\)	1.23.a
\(29\)	\( 1 - 6 T + 29 T^{2}\)	1.29.ag
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

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

Modular form 124950.2.a.bg

Elliptic curves in class 124950bg

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
124950.b1	124950bg1	\([1, 1, 0, 4700475, -50034013875]\)	\(15001431500460925919/1421324083670155776\)	\(-1088201251559963016000000\)	\([]\)	\(26611200\)	\(3.2917\)	\(\Gamma_0(N)\)-optimal