Properties

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

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Show commands: SageMath
E = EllipticCurve("b1")
 
E.isogeny_class()
 

Elliptic curves in class 13792.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
13792.b1 13792b1 \([0, 0, 0, -1, -8]\) \(-1728/431\) \(-27584\) \([]\) \(3008\) \(-0.46868\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

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

Complex multiplication

The elliptic curves in class 13792.b do not have complex multiplication.

Modular form 13792.2.a.b

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