Show commands:
SageMath
E = EllipticCurve("bm1")
E.isogeny_class()
Elliptic curves in class 9800.bm
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
9800.bm1 | 9800n1 | \([0, -1, 0, -408, -1588]\) | \(2450\) | \(3073280000\) | \([]\) | \(4896\) | \(0.51814\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 9800.bm1 has rank \(0\).
Complex multiplication
The elliptic curves in class 9800.bm do not have complex multiplication.Modular form 9800.2.a.bm
sage: E.q_eigenform(10)