Properties

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

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Show commands: SageMath
E = EllipticCurve("l1")
 
E.isogeny_class()
 

Elliptic curves in class 47432.l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
47432.l1 47432h1 \([0, 0, 0, -65219, 10043726]\) \(-1188\) \(-25824366582547456\) \([]\) \(304128\) \(1.8469\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 47432.l1 has rank \(1\).

Complex multiplication

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

Modular form 47432.2.a.l

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