Properties

Label 40432l
Number of curves $1$
Conductor $40432$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("l1")
 
E.isogeny_class()
 

Elliptic curves in class 40432l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
40432.f1 40432l1 \([0, -1, 0, -43440, -994301]\) \(92416/49\) \(4806755946115984\) \([]\) \(109440\) \(1.7005\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 40432l1 has rank \(1\).

Complex multiplication

The elliptic curves in class 40432l do not have complex multiplication.

Modular form 40432.2.a.l

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