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SageMath
E = EllipticCurve("u1")
E.isogeny_class()
Elliptic curves in class 53900.u
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
53900.u1 | 53900x1 | \([0, 0, 0, -12005, 540225]\) | \(-16595712/1331\) | \(-15345900262000\) | \([]\) | \(96768\) | \(1.2767\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 53900.u1 has rank \(1\).
Complex multiplication
The elliptic curves in class 53900.u do not have complex multiplication.Modular form 53900.2.a.u
sage: E.q_eigenform(10)