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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 1736437.a
sage: E.isogeny_class().curves
LMFDB label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height |
---|---|---|---|---|---|---|
1736437.a1 | \([0, -1, 1, -160, 832]\) | \(455821889536/1736437\) | \(1736437\) | \([]\) | \(896816\) | \(0.056076\) |
Rank
sage: E.rank()
The elliptic curve 1736437.a1 has rank \(4\).
Complex multiplication
The elliptic curves in class 1736437.a do not have complex multiplication.Modular form 1736437.2.a.a
sage: E.q_eigenform(10)