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SageMath
E = EllipticCurve("be1")
E.isogeny_class()
Elliptic curves in class 159790be
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
159790.n1 | 159790be1 | \([1, -1, 0, -40105, 3310925]\) | \(-11993263569/972800\) | \(-578644126668800\) | \([]\) | \(2195424\) | \(1.5789\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 159790be1 has rank \(1\).
Complex multiplication
The elliptic curves in class 159790be do not have complex multiplication.Modular form 159790.2.a.be
sage: E.q_eigenform(10)