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SageMath
E = EllipticCurve("u1")
E.isogeny_class()
Elliptic curves in class 38640.u
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
38640.u1 | 38640bn1 | \([0, -1, 0, 466699, 275969085]\) | \(2744564518708084736/9629735831296875\) | \(-39443397964992000000\) | \([]\) | \(673920\) | \(2.4431\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 38640.u1 has rank \(1\).
Complex multiplication
The elliptic curves in class 38640.u do not have complex multiplication.Modular form 38640.2.a.u
sage: E.q_eigenform(10)