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SageMath
E = EllipticCurve("gk1")
E.isogeny_class()
Elliptic curves in class 705600.gk
sage: E.isogeny_class().curves
| LMFDB label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height |
|---|---|---|---|---|---|---|
| 705600.gk1 | \([0, 0, 0, -11760, 493920]\) | \(-138240\) | \(-1301103820800\) | \([]\) | \(1161216\) | \(1.1566\) |
Rank
sage: E.rank()
The elliptic curve 705600.gk1 has rank \(1\).
Complex multiplication
The elliptic curves in class 705600.gk do not have complex multiplication.Modular form 705600.2.a.gk
sage: E.q_eigenform(10)