Properties

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

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Show commands: SageMath
E = EllipticCurve("bb1")
 
E.isogeny_class()
 

Elliptic curves in class 47432.bb

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
47432.bb1 47432e1 \([0, 0, 0, -88396, -10126732]\) \(-1905527808/2401\) \(-96249486443264\) \([]\) \(479232\) \(1.5918\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 47432.bb1 has rank \(0\).

Complex multiplication

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

Modular form 47432.2.a.bb

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