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SageMath
E = EllipticCurve("gb1")
E.isogeny_class()
Elliptic curves in class 405720.gb
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 405720.gb1 | 405720gb1 | \([0, 0, 0, -79527, 17011771]\) | \(-40535147776/67648175\) | \(-92830744999666800\) | \([]\) | \(2764800\) | \(1.9466\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 405720.gb1 has rank \(0\).
Complex multiplication
The elliptic curves in class 405720.gb do not have complex multiplication.Modular form 405720.2.a.gb
sage: E.q_eigenform(10)