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SageMath
E = EllipticCurve("u1")
E.isogeny_class()
Elliptic curves in class 47432u
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
47432.m1 | 47432u1 | \([0, 0, 0, -539, -7546]\) | \(-1188\) | \(-14577181696\) | \([]\) | \(27648\) | \(0.64795\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 47432u1 has rank \(0\).
Complex multiplication
The elliptic curves in class 47432u do not have complex multiplication.Modular form 47432.2.a.u
sage: E.q_eigenform(10)