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SageMath
E = EllipticCurve("jv1")
E.isogeny_class()
Elliptic curves in class 487872jv
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 487872.jv1 | 487872jv1 | \([0, 0, 0, -1852752, 669503648]\) | \(274717696/83349\) | \(213397507498473897984\) | \([]\) | \(16220160\) | \(2.6058\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 487872jv1 has rank \(1\).
Complex multiplication
The elliptic curves in class 487872jv do not have complex multiplication.Modular form 487872.2.a.jv
sage: E.q_eigenform(10)