Properties

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

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Show commands: SageMath
E = EllipticCurve("i1")
 
E.isogeny_class()
 

Elliptic curves in class 40432i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
40432.e1 40432i1 \([0, -1, 0, -13116, 582547]\) \(119681400064/2401\) \(5006411536\) \([]\) \(39168\) \(0.98179\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 40432i1 has rank \(2\).

Complex multiplication

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

Modular form 40432.2.a.i

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