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SageMath
E = EllipticCurve("ba1")
E.isogeny_class()
Elliptic curves in class 249090ba
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 249090.ba1 | 249090ba1 | \([1, 1, 0, -210145327, 1204634675749]\) | \(-167396709540904561/5390625000000\) | \(-33050279045958515625000000\) | \([]\) | \(72985536\) | \(3.6723\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 249090ba1 has rank \(0\).
Complex multiplication
The elliptic curves in class 249090ba do not have complex multiplication.Modular form 249090.2.a.ba
sage: E.q_eigenform(10)