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SageMath
sage: E = EllipticCurve("p1")
sage: E.isogeny_class()
Elliptic curves in class 8820p
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | Torsion structure | Modular degree | Optimality |
|---|---|---|---|---|---|
| 8820.n1 | 8820p1 | [0, 0, 0, 14112, 1963332] | [] | 40320 | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 8820p1 has rank \(0\).
Complex multiplication
The elliptic curves in class 8820p do not have complex multiplication.Modular form 8820.2.a.p
sage: E.q_eigenform(10)