Properties

Label 40432.d
Number of curves $1$
Conductor $40432$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("d1")
 
E.isogeny_class()
 

Elliptic curves in class 40432.d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
40432.d1 40432b1 \([0, -1, 0, -70876, 7181627]\) \(144903424/2401\) \(652440557783056\) \([]\) \(131328\) \(1.6413\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 40432.d1 has rank \(1\).

Complex multiplication

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

Modular form 40432.2.a.d

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} - q^{7} - 2 q^{9} + 4 q^{11} - q^{13} + q^{15} + 7 q^{17} + O(q^{20})\) Copy content Toggle raw display