Properties

Label 13792b
Number of curves 1
Conductor 13792
CM no
Rank 1

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Show commands for: SageMath

sage: E = EllipticCurve("13792.b1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 13792b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
13792.b1 13792b1 [0, 0, 0, -1, -8] [] 3008 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 13792b1 has rank \(1\).

Modular form 13792.2.a.b

sage: E.q_eigenform(10)
 
\( q - 3q^{3} + 3q^{5} + 4q^{7} + 6q^{9} - 5q^{11} + 4q^{13} - 9q^{15} - 6q^{17} - 7q^{19} + O(q^{20}) \)