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SageMath
E = EllipticCurve("ce1")
E.isogeny_class()
Elliptic curves in class 54080ce
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
54080.bb1 | 54080ce1 | \([0, -1, 0, -121, -79]\) | \(1141504/625\) | \(108160000\) | \([]\) | \(18432\) | \(0.23232\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 54080ce1 has rank \(0\).
Complex multiplication
The elliptic curves in class 54080ce do not have complex multiplication.Modular form 54080.2.a.ce
sage: E.q_eigenform(10)