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SageMath
E = EllipticCurve("cx1")
E.isogeny_class()
Elliptic curves in class 134640cx
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
134640.ds1 | 134640cx1 | \([0, 0, 0, 2531493, 4246724106]\) | \(22253722294800933/109514680000000\) | \(-8829245220618240000000\) | \([]\) | \(7257600\) | \(2.8933\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 134640cx1 has rank \(0\).
Complex multiplication
The elliptic curves in class 134640cx do not have complex multiplication.Modular form 134640.2.a.cx
sage: E.q_eigenform(10)