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SageMath
E = EllipticCurve("bn1")
E.isogeny_class()
Elliptic curves in class 289800.bn
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 289800.bn1 | 289800bn1 | \([0, 0, 0, -40575, -6199625]\) | \(-40535147776/67648175\) | \(-12328879893750000\) | \([]\) | \(1382400\) | \(1.7784\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 289800.bn1 has rank \(0\).
Complex multiplication
The elliptic curves in class 289800.bn do not have complex multiplication.Modular form 289800.2.a.bn
sage: E.q_eigenform(10)