Show commands:
SageMath
E = EllipticCurve("bw1")
E.isogeny_class()
Elliptic curves in class 159936.bw
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
159936.bw1 | 159936dq1 | \([0, -1, 0, -20959521, 36928154817]\) | \(1617840527930521321/623760113664\) | \(392599445938441814016\) | \([]\) | \(7741440\) | \(2.9171\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 159936.bw1 has rank \(1\).
Complex multiplication
The elliptic curves in class 159936.bw do not have complex multiplication.Modular form 159936.2.a.bw
sage: E.q_eigenform(10)