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SageMath
E = EllipticCurve("du1")
E.isogeny_class()
Elliptic curves in class 9450.du
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
9450.du1 | 9450dj1 | \([1, -1, 1, -271946810, -1733074051463]\) | \(-502229023208369508642555/2365374966787997696\) | \(-10475476981039835696332800\) | \([]\) | \(3908520\) | \(3.6509\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 9450.du1 has rank \(0\).
Complex multiplication
The elliptic curves in class 9450.du do not have complex multiplication.Modular form 9450.2.a.du
sage: E.q_eigenform(10)