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SageMath
E = EllipticCurve("bb1")
E.isogeny_class()
Elliptic curves in class 235200bb
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 235200.bb1 | 235200bb1 | \([0, -1, 0, -1959673, -1055249663]\) | \(-805661175040/729\) | \(-753095155276800\) | \([]\) | \(3096576\) | \(2.1529\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 235200bb1 has rank \(0\).
Complex multiplication
The elliptic curves in class 235200bb do not have complex multiplication.Modular form 235200.2.a.bb
sage: E.q_eigenform(10)