Properties

Label 7440bb
Number of curves $1$
Conductor $7440$
CM no
Rank $1$

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

Elliptic curves in class 7440bb

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
7440.x1 7440bb1 \([0, 1, 0, 1560, -12492]\) \(102437538839/77137920\) \(-315956920320\) \([]\) \(10560\) \(0.89474\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 7440bb1 has rank \(1\).

Complex multiplication

The elliptic curves in class 7440bb do not have complex multiplication.

Modular form 7440.2.a.bb

sage: E.q_eigenform(10)
 
\(q + q^{3} + q^{5} - 3 q^{7} + q^{9} - 3 q^{11} - 2 q^{13} + q^{15} + 8 q^{17} + 7 q^{19} + O(q^{20})\) Copy content Toggle raw display