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SageMath
E = EllipticCurve("z1")
E.isogeny_class()
Elliptic curves in class 476850.z
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
476850.z1 | 476850z1 | \([1, 1, 0, -69071150, -220978353000]\) | \(-334350814467169/16500\) | \(-1798437465257812500\) | \([]\) | \(45826560\) | \(2.9781\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 476850.z1 has rank \(1\).
Complex multiplication
The elliptic curves in class 476850.z do not have complex multiplication.Modular form 476850.2.a.z
sage: E.q_eigenform(10)