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SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 57222n
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 57222.o1 | 57222n1 | \([1, -1, 0, 1487718, 1009519632]\) | \(71608817375/128079468\) | \(-651325999114494291852\) | \([]\) | \(2193408\) | \(2.6786\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 57222n1 has rank \(1\).
Complex multiplication
The elliptic curves in class 57222n do not have complex multiplication.Modular form 57222.2.a.n
sage: E.q_eigenform(10)