Show commands:
SageMath
E = EllipticCurve("bq1")
E.isogeny_class()
Elliptic curves in class 51600.bq
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
51600.bq1 | 51600j1 | \([0, -1, 0, 132, 55152]\) | \(39443120/205667667\) | \(-1316273068800\) | \([]\) | \(59136\) | \(1.0044\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 51600.bq1 has rank \(0\).
Complex multiplication
The elliptic curves in class 51600.bq do not have complex multiplication.Modular form 51600.2.a.bq
sage: E.q_eigenform(10)