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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 887657.a
sage: E.isogeny_class().curves
LMFDB label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height |
---|---|---|---|---|---|---|
887657.a1 | \([1, 0, 0, -49, 120]\) | \(13027640977/887657\) | \(887657\) | \([]\) | \(227936\) | \(-0.11015\) |
Rank
sage: E.rank()
The elliptic curve 887657.a1 has rank \(4\).
Complex multiplication
The elliptic curves in class 887657.a do not have complex multiplication.Modular form 887657.2.a.a
sage: E.q_eigenform(10)