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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 502237.a
sage: E.isogeny_class().curves
LMFDB label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height |
---|---|---|---|---|---|---|
502237.a1 | \([1, 0, 0, -29, -52]\) | \(2703045457/502237\) | \(502237\) | \([]\) | \(39360\) | \(-0.18794\) |
Rank
sage: E.rank()
The elliptic curve 502237.a1 has rank \(2\).
Complex multiplication
The elliptic curves in class 502237.a do not have complex multiplication.Modular form 502237.2.a.a
sage: E.q_eigenform(10)