Properties

Label 2240.bb
Number of curves $1$
Conductor $2240$
CM no
Rank $0$

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

Elliptic curves in class 2240.bb

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
2240.bb1 2240bb1 [0, 0, 0, 128, -1696] [] 1920 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 2240.bb1 has rank \(0\).

Complex multiplication

The elliptic curves in class 2240.bb do not have complex multiplication.

Modular form 2240.2.a.bb

sage: E.q_eigenform(10)
 
\( q + 3q^{3} + q^{5} + q^{7} + 6q^{9} - 5q^{11} + 3q^{13} + 3q^{15} - q^{17} + 6q^{19} + O(q^{20}) \)