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SageMath
E = EllipticCurve("bz1")
E.isogeny_class()
Elliptic curves in class 126960bz
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
126960.bb1 | 126960bz1 | \([0, -1, 0, -1492485, 225531117]\) | \(2166784/1125\) | \(190893363672494592000\) | \([]\) | \(4239360\) | \(2.5835\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 126960bz1 has rank \(0\).
Complex multiplication
The elliptic curves in class 126960bz do not have complex multiplication.Modular form 126960.2.a.bz
sage: E.q_eigenform(10)