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SageMath
E = EllipticCurve("bg1")
E.isogeny_class()
Elliptic curves in class 39984.bg
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
39984.bg1 | 39984h1 | \([0, -1, 0, -4660945, 3874658173]\) | \(-371806976516936704/89266779\) | \(-2688549704338176\) | \([]\) | \(516096\) | \(2.3386\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 39984.bg1 has rank \(1\).
Complex multiplication
The elliptic curves in class 39984.bg do not have complex multiplication.Modular form 39984.2.a.bg
sage: E.q_eigenform(10)