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SageMath
E = EllipticCurve("be1")
E.isogeny_class()
Elliptic curves in class 200400.be
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
200400.be1 | 200400bg1 | \([0, -1, 0, -22768, -1319168]\) | \(-2549455723781/9861183\) | \(-5048925696000\) | \([]\) | \(593920\) | \(1.2959\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 200400.be1 has rank \(1\).
Complex multiplication
The elliptic curves in class 200400.be do not have complex multiplication.Modular form 200400.2.a.be
sage: E.q_eigenform(10)