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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 159120.j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
159120.j1 | 159120bg1 | \([0, 0, 0, 5667, 16603]\) | \(1725582942464/1008810855\) | \(-11766769812720\) | \([]\) | \(322560\) | \(1.1974\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 159120.j1 has rank \(1\).
Complex multiplication
The elliptic curves in class 159120.j do not have complex multiplication.Modular form 159120.2.a.j
sage: E.q_eigenform(10)