Properties

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

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Show commands: SageMath
E = EllipticCurve("q1")
 
E.isogeny_class()
 

Elliptic curves in class 73920.q

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
73920.q1 73920d1 \([0, -1, 0, -7856821, 8483032621]\) \(-3273741656681120014336/1733575611796875\) \(-28402902823680000000\) \([]\) \(2903040\) \(2.6827\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 73920.q1 has rank \(1\).

Complex multiplication

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

Modular form 73920.2.a.q

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} - q^{7} + q^{9} - q^{11} + 6 q^{13} + q^{15} - 3 q^{17} - 3 q^{19} + O(q^{20})\) Copy content Toggle raw display