Properties

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

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Show commands: SageMath
E = EllipticCurve("j1")
 
E.isogeny_class()
 

Elliptic curves in class 47432.j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
47432.j1 47432c1 \([0, -1, 0, -15528, 88684]\) \(1750\) \(236624766687232\) \([]\) \(114048\) \(1.4479\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 47432.j1 has rank \(0\).

Complex multiplication

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

Modular form 47432.2.a.j

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