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SageMath
E = EllipticCurve("bg1")
E.isogeny_class()
Elliptic curves in class 59976.bg
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
59976.bg1 | 59976m1 | \([0, 0, 0, -819, 22302]\) | \(-1660932/4913\) | \(-179709207552\) | \([]\) | \(64512\) | \(0.84643\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 59976.bg1 has rank \(1\).
Complex multiplication
The elliptic curves in class 59976.bg do not have complex multiplication.Modular form 59976.2.a.bg
sage: E.q_eigenform(10)