Properties

Label 47432p
Number of curves $1$
Conductor $47432$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("p1")
 
E.isogeny_class()
 

Elliptic curves in class 47432p

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
47432.k1 47432p1 \([0, -1, 0, -1092912, -358741172]\) \(6902546/1331\) \(27838667175986157568\) \([]\) \(967680\) \(2.4482\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 47432p1 has rank \(1\).

Complex multiplication

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

Modular form 47432.2.a.p

sage: E.q_eigenform(10)
 
\(q - q^{3} + 2 q^{5} - 2 q^{9} - 3 q^{13} - 2 q^{15} + 2 q^{17} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display