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SageMath
E = EllipticCurve("ba1")
E.isogeny_class()
Elliptic curves in class 490392ba
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 490392.ba1 | 490392ba1 | \([0, 0, 0, 5733, -18522]\) | \(237276/139\) | \(-12207606598656\) | \([]\) | \(774144\) | \(1.2005\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 490392ba1 has rank \(1\).
Complex multiplication
The elliptic curves in class 490392ba do not have complex multiplication.Modular form 490392.2.a.ba
sage: E.q_eigenform(10)