Show commands:
SageMath
E = EllipticCurve("ba1")
E.isogeny_class()
Elliptic curves in class 16650.ba
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
16650.ba1 | 16650t1 | \([1, -1, 0, 333, 154741]\) | \(357911/909312\) | \(-10357632000000\) | \([]\) | \(33280\) | \(1.1763\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 16650.ba1 has rank \(1\).
Complex multiplication
The elliptic curves in class 16650.ba do not have complex multiplication.Modular form 16650.2.a.ba
sage: E.q_eigenform(10)