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SageMath
E = EllipticCurve("be1")
E.isogeny_class()
Elliptic curves in class 211185.be
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
211185.be1 | 211185bb1 | \([0, 0, 1, -215517, -60498095]\) | \(-32278933504/27421875\) | \(-940472889406171875\) | \([]\) | \(4402944\) | \(2.1464\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 211185.be1 has rank \(1\).
Complex multiplication
The elliptic curves in class 211185.be do not have complex multiplication.Modular form 211185.2.a.be
sage: E.q_eigenform(10)