Properties

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

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Show commands: SageMath
E = EllipticCurve("o1")
 
E.isogeny_class()
 

Elliptic curves in class 40432.o

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
40432.o1 40432k1 \([0, 1, 0, -4734996, -3967280149]\) \(119681400064/2401\) \(235531041359683216\) \([]\) \(744192\) \(2.4540\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 40432.o1 has rank \(1\).

Complex multiplication

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

Modular form 40432.2.a.o

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