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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 506339.a
sage: E.isogeny_class().curves
LMFDB label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height |
---|---|---|---|---|---|---|
506339.a1 | \([1, 1, 1, -2589, -51784]\) | \(1919244689134417/506339\) | \(506339\) | \([]\) | \(213936\) | \(0.46683\) |
Rank
sage: E.rank()
The elliptic curve 506339.a1 has rank \(0\).
Complex multiplication
The elliptic curves in class 506339.a do not have complex multiplication.Modular form 506339.2.a.a
sage: E.q_eigenform(10)