Show commands:
SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 338100.j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
338100.j1 | 338100j1 | \([0, -1, 0, -329933, -72856503]\) | \(-258481914880000/93710763\) | \(-1439997068563200\) | \([]\) | \(3041280\) | \(1.8772\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 338100.j1 has rank \(1\).
Complex multiplication
The elliptic curves in class 338100.j do not have complex multiplication.Modular form 338100.2.a.j
sage: E.q_eigenform(10)