Properties

Label 32144x
Number of curves $1$
Conductor $32144$
CM no
Rank $0$

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

Elliptic curves in class 32144x

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
32144.l1 32144x1 \([0, -1, 0, -24810, 1506583]\) \(373698304/1681\) \(7597454297104\) \([]\) \(68544\) \(1.3232\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 32144x1 has rank \(0\).

Complex multiplication

The elliptic curves in class 32144x do not have complex multiplication.

Modular form 32144.2.a.x

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