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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 508032.j
sage: E.isogeny_class().curves
LMFDB label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height |
---|---|---|---|---|---|---|
508032.j1 | \([0, 0, 0, -1029, 33614]\) | \(-288\) | \(-418386197376\) | \([]\) | \(623616\) | \(0.91600\) |
Rank
sage: E.rank()
The elliptic curve 508032.j1 has rank \(0\).
Complex multiplication
The elliptic curves in class 508032.j do not have complex multiplication.Modular form 508032.2.a.j
sage: E.q_eigenform(10)