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SageMath
E = EllipticCurve("gd1")
E.isogeny_class()
Elliptic curves in class 207936gd
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 207936.fc1 | 207936gd1 | \([0, 0, 0, 710448, 164835488]\) | \(70575104/61731\) | \(-34687450892337463296\) | \([]\) | \(4423680\) | \(2.4369\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 207936gd1 has rank \(1\).
Complex multiplication
The elliptic curves in class 207936gd do not have complex multiplication.Modular form 207936.2.a.gd
sage: E.q_eigenform(10)