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SageMath
E = EllipticCurve("fy1")
E.isogeny_class()
Elliptic curves in class 216384fy
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 216384.ha1 | 216384fy1 | \([0, 1, 0, 64027, -62290299]\) | \(1605632000/93710763\) | \(-1694142151193919168\) | \([]\) | \(2128896\) | \(2.1775\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 216384fy1 has rank \(0\).
Complex multiplication
The elliptic curves in class 216384fy do not have complex multiplication.Modular form 216384.2.a.fy
sage: E.q_eigenform(10)