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SageMath
E = EllipticCurve("ba1")
E.isogeny_class()
Elliptic curves in class 468270.ba
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 468270.ba1 | 468270ba1 | \([1, -1, 0, 130930418250, -120436294852687500]\) | \(192203697666261893287480365959/4963160303408775168000000000\) | \(-6409762556864754642994593792000000000\) | \([]\) | \(10941235200\) | \(5.7427\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 468270.ba1 has rank \(1\).
Complex multiplication
The elliptic curves in class 468270.ba do not have complex multiplication.Modular form 468270.2.a.ba
sage: E.q_eigenform(10)