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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 86640.e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
86640.e1 | 86640br1 | \([0, -1, 0, -22141, -1260719]\) | \(35981615104/45\) | \(1501297920\) | \([]\) | \(120960\) | \(1.0400\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 86640.e1 has rank \(0\).
Complex multiplication
The elliptic curves in class 86640.e do not have complex multiplication.Modular form 86640.2.a.e
sage: E.q_eigenform(10)