Show commands:
SageMath
E = EllipticCurve("ba1")
E.isogeny_class()
Elliptic curves in class 9800.ba
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
9800.ba1 | 9800e1 | \([0, 1, 0, -8248, 286768]\) | \(-10303010/49\) | \(-295157811200\) | \([]\) | \(13824\) | \(1.0504\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 9800.ba1 has rank \(0\).
Complex multiplication
The elliptic curves in class 9800.ba do not have complex multiplication.Modular form 9800.2.a.ba
sage: E.q_eigenform(10)