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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 288935749.a
sage: E.isogeny_class().curves
| LMFDB label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height |
|---|---|---|---|---|---|---|
| 288935749.a1 | \([0, 0, 1, -259, 1380]\) | \(1921423085568/288935749\) | \(288935749\) | \([]\) | \(\) | \(0.34765\) |
Rank
sage: E.rank()
The elliptic curve 288935749.a1 has rank \(5\).
Complex multiplication
The elliptic curves in class 288935749.a do not have complex multiplication.Modular form 288935749.2.a.a
sage: E.q_eigenform(10)