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SageMath
E = EllipticCurve("cx1")
E.isogeny_class()
Elliptic curves in class 180336cx
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
180336.w1 | 180336cx1 | \([0, -1, 0, 90072, -10504176]\) | \(5656750/6591\) | \(-94161341017356288\) | \([]\) | \(1674432\) | \(1.9433\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 180336cx1 has rank \(1\).
Complex multiplication
The elliptic curves in class 180336cx do not have complex multiplication.Modular form 180336.2.a.cx
sage: E.q_eigenform(10)