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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 46090.j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
46090.j1 | 46090j1 | \([1, 1, 1, -16586, 742359]\) | \(504603585132854689/49488760668160\) | \(49488760668160\) | \([]\) | \(134416\) | \(1.3647\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 46090.j1 has rank \(1\).
Complex multiplication
The elliptic curves in class 46090.j do not have complex multiplication.Modular form 46090.2.a.j
sage: E.q_eigenform(10)