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SageMath
E = EllipticCurve("ba1")
E.isogeny_class()
Elliptic curves in class 487025ba
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 487025.ba1 | 487025ba1 | \([0, 1, 1, -1038583, -407772381]\) | \(-35806478336/3703\) | \(-12812676529296875\) | \([]\) | \(3889600\) | \(2.1233\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 487025ba1 has rank \(1\).
Complex multiplication
The elliptic curves in class 487025ba do not have complex multiplication.Modular form 487025.2.a.ba
sage: E.q_eigenform(10)