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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 4592017.a
sage: E.isogeny_class().curves
LMFDB label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height |
---|---|---|---|---|---|---|
4592017.a1 | \([1, -1, 1, -42, 0]\) | \(8012006001/4592017\) | \(4592017\) | \([]\) | \(3070544\) | \(-0.031995\) |
Rank
sage: E.rank()
The elliptic curve 4592017.a1 has rank \(4\).
Complex multiplication
The elliptic curves in class 4592017.a do not have complex multiplication.Modular form 4592017.2.a.a
sage: E.q_eigenform(10)