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SageMath
E = EllipticCurve("bj1")
E.isogeny_class()
Elliptic curves in class 458640bj
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
458640.bj1 | 458640bj1 | \([0, 0, 0, 5292, 153468]\) | \(1354752/1625\) | \(-19659695328000\) | \([]\) | \(787968\) | \(1.2370\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 458640bj1 has rank \(1\).
Complex multiplication
The elliptic curves in class 458640bj do not have complex multiplication.Modular form 458640.2.a.bj
sage: E.q_eigenform(10)