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SageMath
E = EllipticCurve("bg1")
E.isogeny_class()
Elliptic curves in class 219584bg
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
219584.bg1 | 219584bg1 | \([0, 0, 0, -316, 2192]\) | \(-212992848/3431\) | \(-56213504\) | \([]\) | \(225280\) | \(0.28763\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 219584bg1 has rank \(0\).
Complex multiplication
The elliptic curves in class 219584bg do not have complex multiplication.Modular form 219584.2.a.bg
sage: E.q_eigenform(10)