Properties

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

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Show commands: SageMath
E = EllipticCurve("s1")
 
E.isogeny_class()
 

Elliptic curves in class 47432s

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
47432.z1 47432s1 \([0, 0, 0, -10695916, 13478680292]\) \(-1905527808/2401\) \(-170511836452915215104\) \([]\) \(5271552\) \(2.7908\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 47432s1 has rank \(1\).

Complex multiplication

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

Modular form 47432.2.a.s

sage: E.q_eigenform(10)
 
\(q + 3 q^{3} + 3 q^{5} + 6 q^{9} - 4 q^{13} + 9 q^{15} - 4 q^{17} - 8 q^{19} + O(q^{20})\) Copy content Toggle raw display