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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 503963.a
sage: E.isogeny_class().curves
LMFDB label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height |
---|---|---|---|---|---|---|
503963.a1 | \([1, -1, 1, -132, -550]\) | \(-252555814161/503963\) | \(-503963\) | \([]\) | \(126428\) | \(-0.018213\) |
Rank
sage: E.rank()
The elliptic curve 503963.a1 has rank \(0\).
Complex multiplication
The elliptic curves in class 503963.a do not have complex multiplication.Modular form 503963.2.a.a
sage: E.q_eigenform(10)