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SageMath
E = EllipticCurve("gy1")
E.isogeny_class()
Elliptic curves in class 405600gy
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 405600.gy1 | 405600gy1 | \([0, 1, 0, 52672, 37595208]\) | \(261568120/10024911\) | \(-619370632179187200\) | \([]\) | \(4354560\) | \(2.0938\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 405600gy1 has rank \(1\).
Complex multiplication
The elliptic curves in class 405600gy do not have complex multiplication.Modular form 405600.2.a.gy
sage: E.q_eigenform(10)