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SageMath
E = EllipticCurve("cu1")
E.isogeny_class()
Elliptic curves in class 86490cu
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
86490.cj1 | 86490cu1 | \([1, -1, 1, -1760252, -1014877249]\) | \(-932288503609/148800000\) | \(-96272139297211200000\) | \([]\) | \(2764800\) | \(2.5626\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 86490cu1 has rank \(1\).
Complex multiplication
The elliptic curves in class 86490cu do not have complex multiplication.Modular form 86490.2.a.cu
sage: E.q_eigenform(10)