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SageMath
E = EllipticCurve("x1")
E.isogeny_class()
Elliptic curves in class 479808x
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 479808.x1 | 479808x1 | \([0, 0, 0, 78036, -3223024]\) | \(6414120712/4259571\) | \(-34900965780258816\) | \([]\) | \(3522560\) | \(1.8630\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 479808x1 has rank \(2\).
Complex multiplication
The elliptic curves in class 479808x do not have complex multiplication.Modular form 479808.2.a.x
sage: E.q_eigenform(10)