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SageMath
E = EllipticCurve("bz1")
E.isogeny_class()
Elliptic curves in class 338130.bz
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
338130.bz1 | 338130bz1 | \([1, -1, 0, 2991096, -934348122]\) | \(2013714719/1421550\) | \(-2089194538174608167550\) | \([]\) | \(20563200\) | \(2.7794\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 338130.bz1 has rank \(1\).
Complex multiplication
The elliptic curves in class 338130.bz do not have complex multiplication.Modular form 338130.2.a.bz
sage: E.q_eigenform(10)