Show commands:
SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 32487.l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
32487.l1 | 32487h1 | \([0, -1, 1, -125652, -15136549]\) | \(776703004672/97144749\) | \(27440987162817501\) | \([]\) | \(592704\) | \(1.8838\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 32487.l1 has rank \(0\).
Complex multiplication
The elliptic curves in class 32487.l do not have complex multiplication.Modular form 32487.2.a.l
sage: E.q_eigenform(10)