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SageMath
E = EllipticCurve("u1")
E.isogeny_class()
Elliptic curves in class 56144.u
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
56144.u1 | 56144w1 | \([0, 0, 0, -2299, 61226]\) | \(-185193/116\) | \(-841732407296\) | \([]\) | \(137280\) | \(0.98987\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 56144.u1 has rank \(0\).
Complex multiplication
The elliptic curves in class 56144.u do not have complex multiplication.Modular form 56144.2.a.u
sage: E.q_eigenform(10)