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SageMath
sage: E = EllipticCurve("bz1")
sage: E.isogeny_class()
Elliptic curves in class 72450bz
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | Torsion structure | Modular degree | Optimality |
|---|---|---|---|---|---|
| 72450.e1 | 72450bz1 | [1, -1, 0, 60258, -114808834] | [] | 1290240 | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 72450bz1 has rank \(0\).
Complex multiplication
The elliptic curves in class 72450bz do not have complex multiplication.Modular form 72450.2.a.bz
sage: E.q_eigenform(10)