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SageMath
E = EllipticCurve("cp1")
E.isogeny_class()
Elliptic curves in class 120384.cp
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
120384.cp1 | 120384f1 | \([0, 0, 0, 96, 288]\) | \(221184/209\) | \(-92454912\) | \([]\) | \(33792\) | \(0.21568\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 120384.cp1 has rank \(0\).
Complex multiplication
The elliptic curves in class 120384.cp do not have complex multiplication.Modular form 120384.2.a.cp
sage: E.q_eigenform(10)