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SageMath
E = EllipticCurve("cz1")
E.isogeny_class()
Elliptic curves in class 164730.cz
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
164730.cz1 | 164730h1 | \([1, 0, 0, -109826, 15150006]\) | \(-21001392289/2077650\) | \(-14493182447293650\) | \([]\) | \(1233792\) | \(1.8416\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 164730.cz1 has rank \(0\).
Complex multiplication
The elliptic curves in class 164730.cz do not have complex multiplication.Modular form 164730.2.a.cz
sage: E.q_eigenform(10)