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SageMath
sage: E = EllipticCurve("hm1")
sage: E.isogeny_class()
Elliptic curves in class 381150.hm
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | Torsion structure | Modular degree | Optimality |
|---|---|---|---|---|---|
| 381150.hm1 | 381150hm1 | [1, -1, 0, 1097508, -1270001584] | [] | 23961600 | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 381150.hm1 has rank \(0\).
Complex multiplication
The elliptic curves in class 381150.hm do not have complex multiplication.Modular form 381150.2.a.hm
sage: E.q_eigenform(10)