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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 505061.a
sage: E.isogeny_class().curves
LMFDB label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height |
---|---|---|---|---|---|---|
505061.a1 | \([0, 0, 1, -308, 2080]\) | \(3231289442304/505061\) | \(505061\) | \([]\) | \(82896\) | \(0.10546\) |
Rank
sage: E.rank()
The elliptic curve 505061.a1 has rank \(3\).
Complex multiplication
The elliptic curves in class 505061.a do not have complex multiplication.Modular form 505061.2.a.a
sage: E.q_eigenform(10)