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SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 5390.n
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
5390.n1 | 5390o1 | \([1, 0, 1, -138, -612]\) | \(5869932649/220000\) | \(10780000\) | \([]\) | \(960\) | \(0.11812\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 5390.n1 has rank \(1\).
Complex multiplication
The elliptic curves in class 5390.n do not have complex multiplication.Modular form 5390.2.a.n
sage: E.q_eigenform(10)