Properties

Label 2592.f
Number of curves $1$
Conductor $2592$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("f1")
 
E.isogeny_class()
 

Elliptic curves in class 2592.f

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
2592.f1 2592e1 \([0, 0, 0, -12, -32]\) \(-576\) \(-331776\) \([]\) \(192\) \(-0.25017\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 2592.f1 has rank \(0\).

Complex multiplication

The elliptic curves in class 2592.f do not have complex multiplication.

Modular form 2592.2.a.f

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