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SageMath
E = EllipticCurve("z1")
E.isogeny_class()
Elliptic curves in class 109956.z
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
109956.z1 | 109956bc1 | \([0, 1, 0, -111589, 585539975]\) | \(-5102271397888/4915446963867\) | \(-148044139482109102848\) | \([]\) | \(3773952\) | \(2.5494\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 109956.z1 has rank \(1\).
Complex multiplication
The elliptic curves in class 109956.z do not have complex multiplication.Modular form 109956.2.a.z
sage: E.q_eigenform(10)