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SageMath
E = EllipticCurve("gx1")
E.isogeny_class()
Elliptic curves in class 487872gx
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 487872.gx1 | 487872gx1 | \([0, 0, 0, -5808, -143264]\) | \(123904/21\) | \(3672294506496\) | \([]\) | \(688128\) | \(1.1317\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 487872gx1 has rank \(1\).
Complex multiplication
The elliptic curves in class 487872gx do not have complex multiplication.Modular form 487872.2.a.gx
sage: E.q_eigenform(10)