Properties

Label 73920.ia
Number of curves $1$
Conductor $73920$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("ia1")
 
E.isogeny_class()
 

Elliptic curves in class 73920.ia

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
73920.ia1 73920du1 \([0, 1, 0, -22965, 1332243]\) \(-81756451446784/24958395\) \(-408918343680\) \([]\) \(138240\) \(1.2052\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 73920.ia1 has rank \(1\).

Complex multiplication

The elliptic curves in class 73920.ia do not have complex multiplication.

Modular form 73920.2.a.ia

sage: E.q_eigenform(10)
 
\(q + q^{3} + q^{5} + q^{7} + q^{9} + q^{11} - 2 q^{13} + q^{15} - 7 q^{17} - 3 q^{19} + O(q^{20})\) Copy content Toggle raw display