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SageMath
E = EllipticCurve("ew1")
E.isogeny_class()
Elliptic curves in class 286650.ew
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 286650.ew1 | 286650ew1 | \([1, -1, 0, -19575117, 33340105791]\) | \(20212728025/78\) | \(3201153461542968750\) | \([]\) | \(18627840\) | \(2.7644\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 286650.ew1 has rank \(0\).
Complex multiplication
The elliptic curves in class 286650.ew do not have complex multiplication.Modular form 286650.2.a.ew
sage: E.q_eigenform(10)