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SageMath
E = EllipticCurve("be1")
E.isogeny_class()
Elliptic curves in class 259182be
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
259182.be1 | 259182be1 | \([1, -1, 0, -53058825, 157258087069]\) | \(-12791249261627475241/868557554027856\) | \(-1121714260259962957744464\) | \([]\) | \(41287680\) | \(3.3662\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 259182be1 has rank \(1\).
Complex multiplication
The elliptic curves in class 259182be do not have complex multiplication.Modular form 259182.2.a.be
sage: E.q_eigenform(10)