Properties

Label 13248x
Number of curves $1$
Conductor $13248$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("x1")
 
E.isogeny_class()
 

Elliptic curves in class 13248x

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
13248.c1 13248x1 \([0, 0, 0, -156, -776]\) \(-562432/23\) \(-17169408\) \([]\) \(3840\) \(0.15576\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 13248x1 has rank \(1\).

Complex multiplication

The elliptic curves in class 13248x do not have complex multiplication.

Modular form 13248.2.a.x

sage: E.q_eigenform(10)
 
\(q - 2 q^{5} - 4 q^{7} - 2 q^{11} - 7 q^{13} + 4 q^{17} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display