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SageMath
sage: E = EllipticCurve("p1")
sage: E.isogeny_class()
Elliptic curves in class 40460p
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | Torsion structure | Modular degree | Optimality |
|---|---|---|---|---|---|
| 40460.a1 | 40460p1 | [0, 0, 0, 9248, 1041556] | [] | 310080 | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 40460p1 has rank \(0\).
Complex multiplication
The elliptic curves in class 40460p do not have complex multiplication.Modular form 40460.2.a.p
sage: E.q_eigenform(10)