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SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 4018.p
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
4018.p1 | 4018m1 | \([1, 0, 0, -1030, -1436]\) | \(1027243729/587776\) | \(69151258624\) | \([]\) | \(4224\) | \(0.76969\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 4018.p1 has rank \(1\).
Complex multiplication
The elliptic curves in class 4018.p do not have complex multiplication.Modular form 4018.2.a.p
sage: E.q_eigenform(10)