Show commands:
SageMath
E = EllipticCurve("bb1")
E.isogeny_class()
Elliptic curves in class 20286.bb
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
20286.bb1 | 20286ba1 | \([1, -1, 0, 4011327, 2074146493]\) | \(83228502970940543/69854999176704\) | \(-5991192311844095645184\) | \([]\) | \(1520640\) | \(2.8664\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 20286.bb1 has rank \(1\).
Complex multiplication
The elliptic curves in class 20286.bb do not have complex multiplication.Modular form 20286.2.a.bb
sage: E.q_eigenform(10)