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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 501317.a
sage: E.isogeny_class().curves
LMFDB label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height |
---|---|---|---|---|---|---|
501317.a1 | \([0, 0, 1, -50, -132]\) | \(13824000000/501317\) | \(501317\) | \([]\) | \(34690\) | \(-0.13641\) |
Rank
sage: E.rank()
The elliptic curve 501317.a1 has rank \(0\).
Complex multiplication
The elliptic curves in class 501317.a do not have complex multiplication.Modular form 501317.2.a.a
sage: E.q_eigenform(10)