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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 4092701.a
sage: E.isogeny_class().curves
LMFDB label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height |
---|---|---|---|---|---|---|
4092701.a1 | \([1, 1, 1, -542, 4632]\) | \(-17610498546913/4092701\) | \(-4092701\) | \([]\) | \(1808448\) | \(0.25959\) |
Rank
sage: E.rank()
The elliptic curve 4092701.a1 has rank \(4\).
Complex multiplication
The elliptic curves in class 4092701.a do not have complex multiplication.Modular form 4092701.2.a.a
sage: E.q_eigenform(10)