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SageMath
E = EllipticCurve("be1")
E.isogeny_class()
Elliptic curves in class 9450.be
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
9450.be1 | 9450y1 | \([1, -1, 0, -56742, 5269166]\) | \(-58395327/686\) | \(-237349300781250\) | \([]\) | \(56160\) | \(1.5711\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 9450.be1 has rank \(1\).
Complex multiplication
The elliptic curves in class 9450.be do not have complex multiplication.Modular form 9450.2.a.be
sage: E.q_eigenform(10)