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SageMath
E = EllipticCurve("bb1")
E.isogeny_class()
Elliptic curves in class 284592.bb
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
284592.bb1 | 284592bb1 | \([0, -1, 0, -313672, 68205271]\) | \(-263757056/2187\) | \(-28300691821990896\) | \([]\) | \(3311616\) | \(1.9833\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 284592.bb1 has rank \(2\).
Complex multiplication
The elliptic curves in class 284592.bb do not have complex multiplication.Modular form 284592.2.a.bb
sage: E.q_eigenform(10)