Elliptic curve isogeny class with LMFDB label 2445.d (Cremona label 2445b)

• Label: 2445.d
• Number of curves: $1$
• Conductor: $2445$
• CM: no
• Rank: $1$

Rank

The elliptic curve 2445.d1 has rank \(1\).

L-function data

Bad L-factors:

Prime	L-Factor
\(3\)	\(1 + T\)
\(5\)	\(1 - T\)
\(163\)	\(1 - T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(2\)	\( 1 - 2 T + 2 T^{2}\)	1.2.ac
\(7\)	\( 1 + 7 T^{2}\)	1.7.a
\(11\)	\( 1 + 4 T + 11 T^{2}\)	1.11.e
\(13\)	\( 1 + 2 T + 13 T^{2}\)	1.13.c
\(17\)	\( 1 + 4 T + 17 T^{2}\)	1.17.e
\(19\)	\( 1 - 4 T + 19 T^{2}\)	1.19.ae
\(23\)	\( 1 + 6 T + 23 T^{2}\)	1.23.g
\(29\)	\( 1 - 4 T + 29 T^{2}\)	1.29.ae
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 2445.d do not have complex multiplication.

Modular form 2445.2.a.d

Isogeny graph

Elliptic curves in class 2445.d

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
2445.d1	2445b1	\([0, -1, 1, -14400, 2898281]\)	\(-330248875415965696/3425688544921875\)	\(-3425688544921875\)	\([]\)	\(16800\)	\(1.6630\)	\(\Gamma_0(N)\)-optimal