Properties

Label 47320bf
Number of curves $1$
Conductor $47320$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("bf1")
 
E.isogeny_class()
 

Elliptic curves in class 47320bf

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
47320.u1 47320bf1 \([0, -1, 0, -225, 10165]\) \(-1024/35\) \(-43248208640\) \([]\) \(37440\) \(0.72114\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 47320bf1 has rank \(0\).

Complex multiplication

The elliptic curves in class 47320bf do not have complex multiplication.

Modular form 47320.2.a.bf

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{5} + q^{7} - 2 q^{9} + 5 q^{11} - q^{15} + 3 q^{17} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display