Show commands:
SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 20160.p
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
20160.p1 | 20160z1 | \([0, 0, 0, 67302, 6593022]\) | \(722603599520256/820654296875\) | \(-38288446875000000\) | \([]\) | \(147840\) | \(1.8684\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 20160.p1 has rank \(0\).
Complex multiplication
The elliptic curves in class 20160.p do not have complex multiplication.Modular form 20160.2.a.p
sage: E.q_eigenform(10)