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SageMath
E = EllipticCurve("bj1")
E.isogeny_class()
Elliptic curves in class 221067.bj
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
221067.bj1 | 221067bg1 | \([1, -1, 0, 324, 3559]\) | \(42568823/89523\) | \(-7896734307\) | \([]\) | \(110592\) | \(0.58346\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 221067.bj1 has rank \(1\).
Complex multiplication
The elliptic curves in class 221067.bj do not have complex multiplication.Modular form 221067.2.a.bj
sage: E.q_eigenform(10)