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SageMath
E = EllipticCurve("ge1")
E.isogeny_class()
Elliptic curves in class 360640ge
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 360640.ge1 | 360640ge1 | \([0, 1, 0, -35345, 5028743]\) | \(-40535147776/67648175\) | \(-8149749903948800\) | \([]\) | \(1474560\) | \(1.7439\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 360640ge1 has rank \(0\).
Complex multiplication
The elliptic curves in class 360640ge do not have complex multiplication.Modular form 360640.2.a.ge
sage: E.q_eigenform(10)