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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 500719.a
sage: E.isogeny_class().curves
LMFDB label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height |
---|---|---|---|---|---|---|
500719.a1 | \([1, 1, 1, -260, -1722]\) | \(1944232280641/500719\) | \(500719\) | \([]\) | \(99450\) | \(0.079314\) |
Rank
sage: E.rank()
The elliptic curve 500719.a1 has rank \(0\).
Complex multiplication
The elliptic curves in class 500719.a do not have complex multiplication.Modular form 500719.2.a.a
sage: E.q_eigenform(10)