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SageMath
E = EllipticCurve("bb1")
E.isogeny_class()
Elliptic curves in class 200400.bb
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 200400.bb1 | 200400bo1 | \([0, -1, 0, 225392, -13172288]\) | \(19785968032823/12608077824\) | \(-806916980736000000\) | \([]\) | \(2861568\) | \(2.1250\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 200400.bb1 has rank \(1\).
Complex multiplication
The elliptic curves in class 200400.bb do not have complex multiplication.Modular form 200400.2.a.bb
sage: E.q_eigenform(10)