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SageMath
E = EllipticCurve("cx1")
E.isogeny_class()
Elliptic curves in class 450800.cx
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
450800.cx1 | 450800cx1 | \([0, 0, 0, 5249125, 93331586250]\) | \(84972077055/20040095362\) | \(-3772315486790300800000000\) | \([]\) | \(46448640\) | \(3.3950\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 450800.cx1 has rank \(1\).
Complex multiplication
The elliptic curves in class 450800.cx do not have complex multiplication.Modular form 450800.2.a.cx
sage: E.q_eigenform(10)