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SageMath
E = EllipticCurve("be1")
E.isogeny_class()
Elliptic curves in class 453152.be
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
453152.be1 | 453152be1 | \([0, 1, 0, -32419249, 71018520607]\) | \(1120967488/343\) | \(1153011606738696957952\) | \([]\) | \(22560768\) | \(3.0184\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 453152.be1 has rank \(1\).
Complex multiplication
The elliptic curves in class 453152.be do not have complex multiplication.Modular form 453152.2.a.be
sage: E.q_eigenform(10)