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SageMath
E = EllipticCurve("fh1")
E.isogeny_class()
Elliptic curves in class 426888.fh
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 426888.fh1 | 426888fh1 | \([0, 0, 0, 43382493, -393002324253]\) | \(137566156032/1096135733\) | \(-71948204723602278209997936\) | \([]\) | \(92897280\) | \(3.6429\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 426888.fh1 has rank \(0\).
Complex multiplication
The elliptic curves in class 426888.fh do not have complex multiplication.Modular form 426888.2.a.fh
sage: E.q_eigenform(10)