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SageMath
E = EllipticCurve("ba1")
E.isogeny_class()
Elliptic curves in class 80850ba
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
80850.j1 | 80850ba1 | \([1, 1, 0, 118800, 29548800]\) | \(1050284375/2737152\) | \(-483236057969280000\) | \([]\) | \(1260000\) | \(2.0770\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 80850ba1 has rank \(1\).
Complex multiplication
The elliptic curves in class 80850ba do not have complex multiplication.Modular form 80850.2.a.ba
sage: E.q_eigenform(10)