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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 7200.f
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 7200.f1 | 7200by1 | \([0, 0, 0, -39000, -22070000]\) | \(-5624320/177147\) | \(-206624260800000000\) | \([]\) | \(84480\) | \(2.0028\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 7200.f1 has rank \(0\).
Complex multiplication
The elliptic curves in class 7200.f do not have complex multiplication.Modular form 7200.2.a.f
sage: E.q_eigenform(10)