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SageMath
E = EllipticCurve("ba1")
E.isogeny_class()
Elliptic curves in class 309168ba
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 309168.ba1 | 309168ba1 | \([0, 0, 0, 25125, 456554]\) | \(1174855468750/740206161\) | \(-1105121876723712\) | \([]\) | \(1059840\) | \(1.5756\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 309168ba1 has rank \(1\).
Complex multiplication
The elliptic curves in class 309168ba do not have complex multiplication.Modular form 309168.2.a.ba
sage: E.q_eigenform(10)