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SageMath
E = EllipticCurve("cz1")
E.isogeny_class()
Elliptic curves in class 180336cz
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
180336.bb1 | 180336cz1 | \([0, -1, 0, -27840, 2480883]\) | \(-73984/39\) | \(-1257980193880176\) | \([]\) | \(744192\) | \(1.6016\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 180336cz1 has rank \(0\).
Complex multiplication
The elliptic curves in class 180336cz do not have complex multiplication.Modular form 180336.2.a.cz
sage: E.q_eigenform(10)