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SageMath
E = EllipticCurve("bg1")
E.isogeny_class()
Elliptic curves in class 156702.bg
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
156702.bg1 | 156702cg1 | \([1, 0, 1, -132105888, 549616874734]\) | \(2167214967262362728787049/144916175320321257216\) | \(17049243110260475590205184\) | \([]\) | \(38707200\) | \(3.5906\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 156702.bg1 has rank \(1\).
Complex multiplication
The elliptic curves in class 156702.bg do not have complex multiplication.Modular form 156702.2.a.bg
sage: E.q_eigenform(10)