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SageMath
E = EllipticCurve("bg1")
E.isogeny_class()
Elliptic curves in class 392784bg
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
392784.bg1 | 392784bg1 | \([0, -1, 0, -44704, -2324384]\) | \(119552942/40581\) | \(3353783758166016\) | \([]\) | \(2186240\) | \(1.6813\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 392784bg1 has rank \(0\).
Complex multiplication
The elliptic curves in class 392784bg do not have complex multiplication.Modular form 392784.2.a.bg
sage: E.q_eigenform(10)