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SageMath
E = EllipticCurve("bj1")
E.isogeny_class()
Elliptic curves in class 74256bj
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
74256.bs1 | 74256bj1 | \([0, -1, 0, -229, 19597]\) | \(-325660672/40000779\) | \(-163843190784\) | \([]\) | \(88320\) | \(0.83131\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 74256bj1 has rank \(0\).
Complex multiplication
The elliptic curves in class 74256bj do not have complex multiplication.Modular form 74256.2.a.bj
sage: E.q_eigenform(10)