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SageMath
E = EllipticCurve("bb1")
E.isogeny_class()
Elliptic curves in class 86640.bb
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 86640.bb1 | 86640p1 | \([0, -1, 0, 200650900, -682975171248]\) | \(569208099614384/457763671875\) | \(-718484327086054687500000000\) | \([]\) | \(36771840\) | \(3.8411\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 86640.bb1 has rank \(1\).
Complex multiplication
The elliptic curves in class 86640.bb do not have complex multiplication.Modular form 86640.2.a.bb
sage: E.q_eigenform(10)