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SageMath
E = EllipticCurve("w1")
E.isogeny_class()
Elliptic curves in class 28050w
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 28050.s1 | 28050w1 | \([1, 1, 0, 1425, -52875]\) | \(163667323/727056\) | \(-1420031250000\) | \([]\) | \(44800\) | \(1.0143\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 28050w1 has rank \(0\).
Complex multiplication
The elliptic curves in class 28050w do not have complex multiplication.Modular form 28050.2.a.w
sage: E.q_eigenform(10)