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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 450840d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
450840.d1 | 450840d1 | \([0, -1, 0, 994064, 74608636]\) | \(15208100924/9140625\) | \(-65293089647760000000\) | \([]\) | \(10967040\) | \(2.4914\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 450840d1 has rank \(0\).
Complex multiplication
The elliptic curves in class 450840d do not have complex multiplication.Modular form 450840.2.a.d
sage: E.q_eigenform(10)