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SageMath
E = EllipticCurve("be1")
E.isogeny_class()
Elliptic curves in class 169065.be
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
169065.be1 | 169065bj1 | \([1, -1, 0, -522439515, 13033091324106]\) | \(-10730378053390609/43719326015625\) | \(-64252525148266894627947890625\) | \([]\) | \(155731968\) | \(4.2130\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 169065.be1 has rank \(1\).
Complex multiplication
The elliptic curves in class 169065.be do not have complex multiplication.Modular form 169065.2.a.be
sage: E.q_eigenform(10)