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SageMath
E = EllipticCurve("cx1")
E.isogeny_class()
Elliptic curves in class 129472.cx
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
129472.cx1 | 129472cm1 | \([0, 1, 0, -22121601, 40039893887]\) | \(654699641761/112\) | \(204809131364712448\) | \([]\) | \(6580224\) | \(2.7204\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 129472.cx1 has rank \(1\).
Complex multiplication
The elliptic curves in class 129472.cx do not have complex multiplication.Modular form 129472.2.a.cx
sage: E.q_eigenform(10)