Properties

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

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Show commands: SageMath
E = EllipticCurve("n1")
 
E.isogeny_class()
 

Elliptic curves in class 47432n

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
47432.s1 47432n1 \([0, 1, 0, -6288, 19424]\) \(1750\) \(15714201868288\) \([]\) \(72576\) \(1.2219\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 47432n1 has rank \(0\).

Complex multiplication

The elliptic curves in class 47432n do not have complex multiplication.

Modular form 47432.2.a.n

sage: E.q_eigenform(10)
 
\(q + q^{3} - 2 q^{9} + 3 q^{13} - 2 q^{17} - 8 q^{19} + O(q^{20})\) Copy content Toggle raw display