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SageMath
E = EllipticCurve("bz1")
E.isogeny_class()
Elliptic curves in class 156702bz
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
156702.ba1 | 156702bz1 | \([1, 0, 1, -48389, 7396400]\) | \(-106503164422201/139465138176\) | \(-16407934041268224\) | \([]\) | \(1437696\) | \(1.8043\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 156702bz1 has rank \(0\).
Complex multiplication
The elliptic curves in class 156702bz do not have complex multiplication.Modular form 156702.2.a.bz
sage: E.q_eigenform(10)