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SageMath
E = EllipticCurve("be1")
E.isogeny_class()
Elliptic curves in class 466578.be
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
466578.be1 | 466578be1 | \([1, -1, 0, -143477595, 663776258949]\) | \(-25727239787761/101406816\) | \(-1287507985485708142334304\) | \([]\) | \(72990720\) | \(3.4838\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 466578.be1 has rank \(0\).
Complex multiplication
The elliptic curves in class 466578.be do not have complex multiplication.Modular form 466578.2.a.be
sage: E.q_eigenform(10)