Properties

Label 40432d
Number of curves $1$
Conductor $40432$
CM no
Rank $2$

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

Elliptic curves in class 40432d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
40432.h1 40432d1 \([0, 0, 0, -19, 114]\) \(-1026/7\) \(-5175296\) \([]\) \(5184\) \(-0.028411\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 40432d1 has rank \(2\).

Complex multiplication

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

Modular form 40432.2.a.d

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