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SageMath
E = EllipticCurve("bb1")
E.isogeny_class()
Elliptic curves in class 339864bb
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
339864.bb1 | 339864bb1 | \([0, -1, 0, 561720, -366303636]\) | \(68782/243\) | \(-69249090567845615616\) | \([]\) | \(8709120\) | \(2.4900\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 339864bb1 has rank \(1\).
Complex multiplication
The elliptic curves in class 339864bb do not have complex multiplication.Modular form 339864.2.a.bb
sage: E.q_eigenform(10)