Elliptic curve isogeny class with Cremona label 32487c (LMFDB label 32487.k)

• Label: 32487c
• Number of curves: $1$
• Conductor: $32487$
• CM: no
• Rank: $0$

Rank

The elliptic curve 32487c1 has rank \(0\).

L-function data

Bad L-factors:

Prime	L-Factor
\(3\)	\(1 + T\)
\(7\)	\(1\)
\(13\)	\(1 + T\)
\(17\)	\(1 + T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(2\)	\( 1 + T + 2 T^{2}\)	1.2.b
\(5\)	\( 1 - 4 T + 5 T^{2}\)	1.5.ae
\(11\)	\( 1 + 4 T + 11 T^{2}\)	1.11.e
\(19\)	\( 1 + 19 T^{2}\)	1.19.a
\(23\)	\( 1 + 4 T + 23 T^{2}\)	1.23.e
\(29\)	\( 1 + 4 T + 29 T^{2}\)	1.29.e
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 32487c do not have complex multiplication.

Modular form 32487.2.a.c

Elliptic curves in class 32487c

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
32487.k1	32487c1	\([0, -1, 1, -14184, 654905]\)	\(6441016595550208/511270461\)	\(25052252589\)	\([]\)	\(84480\)	\(1.0417\)	\(\Gamma_0(N)\)-optimal