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SageMath
E = EllipticCurve("w1")
E.isogeny_class()
Elliptic curves in class 72200.w
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 72200.w1 | 72200e1 | \([0, 1, 0, -10608, -424087]\) | \(1462911232\) | \(90250000\) | \([]\) | \(54432\) | \(0.84149\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 72200.w1 has rank \(0\).
Complex multiplication
The elliptic curves in class 72200.w do not have complex multiplication.Modular form 72200.2.a.w
sage: E.q_eigenform(10)