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SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 16560p
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
16560.v1 | 16560p1 | \([0, 0, 0, 68532, 30368108]\) | \(190737654201344/2245153696875\) | \(-418999563525600000\) | \([]\) | \(153600\) | \(2.0623\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 16560p1 has rank \(1\).
Complex multiplication
The elliptic curves in class 16560p do not have complex multiplication.Modular form 16560.2.a.p
sage: E.q_eigenform(10)