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SageMath
sage: E = EllipticCurve("a1")
sage: E.isogeny_class()
Elliptic curves in class 392.a
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | Torsion structure | Modular degree | Optimality |
|---|---|---|---|---|---|
| 392.a1 | 392f1 | [0, 0, 0, -7, 7] | [] | 24 | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 392.a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 392.a do not have complex multiplication.Modular form 392.2.a.a
sage: E.q_eigenform(10)