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SageMath
E = EllipticCurve("bb1")
E.isogeny_class()
Elliptic curves in class 392784bb
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 392784.bb1 | 392784bb1 | \([0, -1, 0, -7462338200, 248104011147504]\) | \(95367480112088785370391049/7897061946594164736\) | \(3805517582151093809257119744\) | \([]\) | \(383533056\) | \(4.3363\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 392784bb1 has rank \(0\).
Complex multiplication
The elliptic curves in class 392784bb do not have complex multiplication.Modular form 392784.2.a.bb
sage: E.q_eigenform(10)