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SageMath
sage: E = EllipticCurve("v1")
sage: E.isogeny_class()
Elliptic curves in class 72450v
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | Torsion structure | Modular degree | Optimality |
|---|---|---|---|---|---|
| 72450.t1 | 72450v1 | [1, -1, 0, -22617, -1485459] | [] | 288000 | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 72450v1 has rank \(0\).
Complex multiplication
The elliptic curves in class 72450v do not have complex multiplication.Modular form 72450.2.a.v
sage: E.q_eigenform(10)