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SageMath
E = EllipticCurve("gb1")
E.isogeny_class()
Elliptic curves in class 369600.gb
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 369600.gb1 | 369600gb1 | \([0, -1, 0, -59333, -5096163]\) | \(2255900800000/201331053\) | \(2061629982720000\) | \([]\) | \(2027520\) | \(1.6784\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 369600.gb1 has rank \(0\).
Complex multiplication
The elliptic curves in class 369600.gb do not have complex multiplication.Modular form 369600.2.a.gb
sage: E.q_eigenform(10)