Show commands for:
SageMath
sage: E = EllipticCurve("f1")
sage: E.isogeny_class()
Elliptic curves in class 72450f
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | Torsion structure | Modular degree | Optimality |
|---|---|---|---|---|---|
| 72450.o1 | 72450f1 | [1, -1, 0, 933, -29659] | [] | 94080 | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 72450f1 has rank \(0\).
Complex multiplication
The elliptic curves in class 72450f do not have complex multiplication.Modular form 72450.2.a.f
sage: E.q_eigenform(10)