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SageMath
E = EllipticCurve("hn1")
E.isogeny_class()
Elliptic curves in class 100800.hn
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 100800.hn1 | 100800mk1 | \([0, 0, 0, 28800, 5724000]\) | \(14155776/84035\) | \(-15682947840000000\) | \([]\) | \(645120\) | \(1.7895\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 100800.hn1 has rank \(1\).
Complex multiplication
The elliptic curves in class 100800.hn do not have complex multiplication.Modular form 100800.2.a.hn
sage: E.q_eigenform(10)