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SageMath
E = EllipticCurve("z1")
E.isogeny_class()
Elliptic curves in class 205504.z
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
205504.z1 | 205504bw1 | \([0, -1, 0, -5633, -231167]\) | \(-31250/19\) | \(-12020530675712\) | \([]\) | \(299520\) | \(1.2119\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 205504.z1 has rank \(0\).
Complex multiplication
The elliptic curves in class 205504.z do not have complex multiplication.Modular form 205504.2.a.z
sage: E.q_eigenform(10)