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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 72200f
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 72200.u1 | 72200f1 | \([0, 1, 0, -75208, 11343088]\) | \(-31250/19\) | \(-28603895648000000\) | \([]\) | \(414720\) | \(1.8598\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 72200f1 has rank \(0\).
Complex multiplication
The elliptic curves in class 72200f do not have complex multiplication.Modular form 72200.2.a.f
sage: E.q_eigenform(10)