Show commands:
SageMath
E = EllipticCurve("bb1")
E.isogeny_class()
Elliptic curves in class 166800.bb
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
166800.bb1 | 166800cg1 | \([0, -1, 0, -22808, 1346112]\) | \(-82013318212/911979\) | \(-14591664000000\) | \([]\) | \(718848\) | \(1.3408\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 166800.bb1 has rank \(1\).
Complex multiplication
The elliptic curves in class 166800.bb do not have complex multiplication.Modular form 166800.2.a.bb
sage: E.q_eigenform(10)