Properties

Label 5712.bb
Number of curves $1$
Conductor $5712$
CM no
Rank $0$

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

Elliptic curves in class 5712.bb

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
5712.bb1 5712x1 \([0, 1, 0, -35264, 2600244]\) \(-1184052061112257/34349180544\) \(-140694243508224\) \([]\) \(20160\) \(1.4940\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 5712.bb1 has rank \(0\).

Complex multiplication

The elliptic curves in class 5712.bb do not have complex multiplication.

Modular form 5712.2.a.bb

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