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SageMath
sage: E = EllipticCurve("p1")
sage: E.isogeny_class()
Elliptic curves in class 15680p
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | Torsion structure | Modular degree | Optimality |
|---|---|---|---|---|---|
| 15680.bg1 | 15680p1 | [0, -1, 0, 159, 4705] | [] | 7680 | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 15680p1 has rank \(0\).
Complex multiplication
The elliptic curves in class 15680p do not have complex multiplication.Modular form 15680.2.a.p
sage: E.q_eigenform(10)