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SageMath
E = EllipticCurve("ey1")
E.isogeny_class()
Elliptic curves in class 259182.ey
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
259182.ey1 | 259182ey1 | \([1, -1, 1, -883202, 243266433]\) | \(487567078009/118855296\) | \(18573234735331672704\) | \([]\) | \(5322240\) | \(2.4081\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 259182.ey1 has rank \(1\).
Complex multiplication
The elliptic curves in class 259182.ey do not have complex multiplication.Modular form 259182.2.a.ey
sage: E.q_eigenform(10)