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SageMath
E = EllipticCurve("cp1")
E.isogeny_class()
Elliptic curves in class 43560.cp
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
43560.cp1 | 43560bn1 | \([0, 0, 0, 3993, -131769]\) | \(76032/125\) | \(-11575379574000\) | \([]\) | \(101376\) | \(1.1917\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 43560.cp1 has rank \(0\).
Complex multiplication
The elliptic curves in class 43560.cp do not have complex multiplication.Modular form 43560.2.a.cp
sage: E.q_eigenform(10)