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SageMath
E = EllipticCurve("v1")
E.isogeny_class()
Elliptic curves in class 283920v
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 283920.v1 | 283920v1 | \([0, -1, 0, -506746162056, -138845971566896400]\) | \(4307133670770643495402925929/42379253152021800\) | \(141598960554558527576956108800\) | \([]\) | \(1798917120\) | \(5.1704\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 283920v1 has rank \(0\).
Complex multiplication
The elliptic curves in class 283920v do not have complex multiplication.Modular form 283920.2.a.v
sage: E.q_eigenform(10)