Elliptic curve isogeny class with LMFDB label 87525.i (Cremona label 87525t)

• Label: 87525.i
• Number of curves: $1$
• Conductor: $87525$
• CM: no
• Rank: $0$

Rank

The elliptic curve 87525.i1 has rank \(0\).

L-function data

Bad L-factors:

Prime	L-Factor
\(3\)	\(1\)
\(5\)	\(1\)
\(389\)	\(1 + T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(2\)	\( 1 + 2 T + 2 T^{2}\)	1.2.c
\(7\)	\( 1 - 5 T + 7 T^{2}\)	1.7.af
\(11\)	\( 1 - 4 T + 11 T^{2}\)	1.11.ae
\(13\)	\( 1 - 3 T + 13 T^{2}\)	1.13.ad
\(17\)	\( 1 + 6 T + 17 T^{2}\)	1.17.g
\(19\)	\( 1 - 5 T + 19 T^{2}\)	1.19.af
\(23\)	\( 1 + 4 T + 23 T^{2}\)	1.23.e
\(29\)	\( 1 - 6 T + 29 T^{2}\)	1.29.ag
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 87525.i do not have complex multiplication.

Modular form 87525.2.a.i

Elliptic curves in class 87525.i

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
87525.i1	87525t1	\([0, 0, 1, -525, -3344]\)	\(1404928/389\)	\(4430953125\)	\([]\)	\(103680\)	\(0.55838\)	\(\Gamma_0(N)\)-optimal