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SageMath
E = EllipticCurve("os1")
E.isogeny_class()
Elliptic curves in class 487872.os
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 487872.os1 | 487872os1 | \([0, 0, 0, -6465756, 6328649448]\) | \(-610325920583424/55240493\) | \(-2705685894685154304\) | \([]\) | \(14745600\) | \(2.5763\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 487872.os1 has rank \(1\).
Complex multiplication
The elliptic curves in class 487872.os do not have complex multiplication.Modular form 487872.2.a.os
sage: E.q_eigenform(10)