Properties

Label 162624fe
Number of curves $1$
Conductor $162624$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("fe1")
 
E.isogeny_class()
 

Elliptic curves in class 162624fe

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
162624.fz1 162624fe1 \([0, 1, 0, -2801, -57807]\) \(313944395776/1240029\) \(9602784576\) \([]\) \(168960\) \(0.77267\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 162624fe1 has rank \(1\).

Complex multiplication

The elliptic curves in class 162624fe do not have complex multiplication.

Modular form 162624.2.a.fe

sage: E.q_eigenform(10)
 
\(q + q^{3} - q^{5} - q^{7} + q^{9} - 6 q^{13} - q^{15} + 7 q^{17} - 8 q^{19} + O(q^{20})\) Copy content Toggle raw display