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SageMath
E = EllipticCurve("cx1")
E.isogeny_class()
Elliptic curves in class 159936cx
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
159936.q1 | 159936cx1 | \([0, -1, 0, -2840497, -1821105551]\) | \(26835062456272/345025251\) | \(32587807326044995584\) | \([]\) | \(5644800\) | \(2.5527\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 159936cx1 has rank \(1\).
Complex multiplication
The elliptic curves in class 159936cx do not have complex multiplication.Modular form 159936.2.a.cx
sage: E.q_eigenform(10)