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SageMath
E = EllipticCurve("bg1")
E.isogeny_class()
Elliptic curves in class 112518bg
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
112518.bl1 | 112518bg1 | \([1, -1, 1, -86, 533]\) | \(-95443993/100016\) | \(-72911664\) | \([]\) | \(46080\) | \(0.20393\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 112518bg1 has rank \(0\).
Complex multiplication
The elliptic curves in class 112518bg do not have complex multiplication.Modular form 112518.2.a.bg
sage: E.q_eigenform(10)