Properties

Label 13792.e
Number of curves $1$
Conductor $13792$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("e1")
 
E.isogeny_class()
 

Elliptic curves in class 13792.e

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
13792.e1 13792e1 \([0, 1, 0, -6, 8]\) \(-438976/431\) \(-27584\) \([]\) \(768\) \(-0.45200\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 13792.e1 has rank \(2\).

Complex multiplication

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

Modular form 13792.2.a.e

sage: E.q_eigenform(10)
 
\(q + q^{3} - q^{5} - 4 q^{7} - 2 q^{9} - q^{11} - 2 q^{13} - q^{15} - 8 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display