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SageMath
E = EllipticCurve("cy1")
E.isogeny_class()
Elliptic curves in class 42336.cy
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
42336.cy1 | 42336ce1 | \([0, 0, 0, 1176, -5488]\) | \(1536\) | \(-117099343872\) | \([]\) | \(36288\) | \(0.81273\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 42336.cy1 has rank \(1\).
Complex multiplication
The elliptic curves in class 42336.cy do not have complex multiplication.Modular form 42336.2.a.cy
sage: E.q_eigenform(10)