Elliptic curve isogeny class with LMFDB label 62400.df (Cremona label 62400br)

• Label: 62400.df
• Number of curves: $1$
• Conductor: $62400$
• CM: no
• Rank: $1$

Rank

The elliptic curve 62400.df1 has rank \(1\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(3\)	\(1 + T\)
\(5\)	\(1\)
\(13\)	\(1 - T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(7\)	\( 1 - T + 7 T^{2}\)	1.7.ab
\(11\)	\( 1 + 3 T + 11 T^{2}\)	1.11.d
\(17\)	\( 1 + 7 T + 17 T^{2}\)	1.17.h
\(19\)	\( 1 + 19 T^{2}\)	1.19.a
\(23\)	\( 1 + 7 T + 23 T^{2}\)	1.23.h
\(29\)	\( 1 - 4 T + 29 T^{2}\)	1.29.ae
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 62400.df do not have complex multiplication.

Modular form 62400.2.a.df

Elliptic curves in class 62400.df

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
62400.df1	62400br1	\([0, -1, 0, -24453, 1483677]\)	\(-789601498112/2302911\)	\(-4716361728000\)	\([]\)	\(157696\)	\(1.3025\)	\(\Gamma_0(N)\)-optimal