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SageMath
E = EllipticCurve("ba1")
E.isogeny_class()
Elliptic curves in class 39984.ba
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
39984.ba1 | 39984be1 | \([0, -1, 0, 70544, -31785536]\) | \(3947714094191/46599266304\) | \(-458280298069622784\) | \([]\) | \(404352\) | \(2.0698\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 39984.ba1 has rank \(0\).
Complex multiplication
The elliptic curves in class 39984.ba do not have complex multiplication.Modular form 39984.2.a.ba
sage: E.q_eigenform(10)