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SageMath
E = EllipticCurve("cp1")
E.isogeny_class()
Elliptic curves in class 284592cp
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 284592.cp1 | 284592cp1 | \([0, -1, 0, -66436421, 207738302829]\) | \(313944395776/1240029\) | \(128091853875958957264896\) | \([]\) | \(44605440\) | \(3.2911\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 284592cp1 has rank \(0\).
Complex multiplication
The elliptic curves in class 284592cp do not have complex multiplication.Modular form 284592.2.a.cp
sage: E.q_eigenform(10)