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SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 57330.n
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
57330.n1 | 57330n1 | \([1, -1, 0, -16006545, 116325872221]\) | \(-107920681386000721/1328441886720000\) | \(-5582830072296894842880000\) | \([]\) | \(13547520\) | \(3.4303\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 57330.n1 has rank \(0\).
Complex multiplication
The elliptic curves in class 57330.n do not have complex multiplication.Modular form 57330.2.a.n
sage: E.q_eigenform(10)