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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 501139.a
sage: E.isogeny_class().curves
LMFDB label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height |
---|---|---|---|---|---|---|
501139.a1 | \([1, -1, 1, -132, -548]\) | \(252555814161/501139\) | \(501139\) | \([]\) | \(157954\) | \(-0.018553\) |
Rank
sage: E.rank()
The elliptic curve 501139.a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 501139.a do not have complex multiplication.Modular form 501139.2.a.a
sage: E.q_eigenform(10)