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SageMath
E = EllipticCurve("z1")
E.isogeny_class()
Elliptic curves in class 150075.z
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
150075.z1 | 150075k1 | \([0, 0, 1, -300, -2169]\) | \(-6553600/667\) | \(-303901875\) | \([]\) | \(44352\) | \(0.36749\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 150075.z1 has rank \(0\).
Complex multiplication
The elliptic curves in class 150075.z do not have complex multiplication.Modular form 150075.2.a.z
sage: E.q_eigenform(10)