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SageMath
E = EllipticCurve("cu1")
E.isogeny_class()
Elliptic curves in class 202800cu
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
202800.jl1 | 202800cu1 | \([0, 1, 0, -22533, 11872563]\) | \(-4096/195\) | \(-60238576320000000\) | \([]\) | \(1935360\) | \(1.8998\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 202800cu1 has rank \(1\).
Complex multiplication
The elliptic curves in class 202800cu do not have complex multiplication.Modular form 202800.2.a.cu
sage: E.q_eigenform(10)