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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 505139.a
sage: E.isogeny_class().curves
LMFDB label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height |
---|---|---|---|---|---|---|
505139.a1 | \([0, 1, 1, -3266, -72941]\) | \(-3853942412898304/505139\) | \(-505139\) | \([]\) | \(248574\) | \(0.50932\) |
Rank
sage: E.rank()
The elliptic curve 505139.a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 505139.a do not have complex multiplication.Modular form 505139.2.a.a
sage: E.q_eigenform(10)