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