Show commands:
SageMath
E = EllipticCurve("bx1")
E.isogeny_class()
Elliptic curves in class 39984bx
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
39984.f1 | 39984bx1 | \([0, -1, 0, 768, -27264]\) | \(103823/714\) | \(-344069677056\) | \([]\) | \(46080\) | \(0.89535\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 39984bx1 has rank \(1\).
Complex multiplication
The elliptic curves in class 39984bx do not have complex multiplication.Modular form 39984.2.a.bx
sage: E.q_eigenform(10)