Properties

Label 47432u
Number of curves $1$
Conductor $47432$
CM no
Rank $0$

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Show commands: 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)
 
\(q - 3 q^{5} - 3 q^{9} + 3 q^{13} + 3 q^{17} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display