Properties

Label 3920.bb
Number of curves $1$
Conductor $3920$
CM no
Rank $1$

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

Elliptic curves in class 3920.bb

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
3920.bb1 3920k1 \([0, 1, 0, -5945, 174803]\) \(-2249728/5\) \(-51652616960\) \([]\) \(5376\) \(0.93840\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 3920.bb1 has rank \(1\).

Complex multiplication

The elliptic curves in class 3920.bb do not have complex multiplication.

Modular form 3920.2.a.bb

sage: E.q_eigenform(10)
 
\(q + q^{3} + q^{5} - 2 q^{9} + 5 q^{11} - 7 q^{13} + q^{15} + 3 q^{17} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display