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SageMath
E = EllipticCurve("bz1")
E.isogeny_class()
Elliptic curves in class 110400bz
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
110400.y1 | 110400bz1 | \([0, -1, 0, -833, -9663]\) | \(-781250/69\) | \(-5652480000\) | \([]\) | \(73728\) | \(0.61506\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 110400bz1 has rank \(0\).
Complex multiplication
The elliptic curves in class 110400bz do not have complex multiplication.Modular form 110400.2.a.bz
sage: E.q_eigenform(10)