Properties

Label 73920dl
Number of curves $1$
Conductor $73920$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("dl1")
 
E.isogeny_class()
 

Elliptic curves in class 73920dl

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
73920.ht1 73920dl1 \([0, 1, 0, -525, 14805]\) \(-250523582464/1369738755\) \(-87663280320\) \([]\) \(57600\) \(0.78379\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 73920dl1 has rank \(0\).

Complex multiplication

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

Modular form 73920.2.a.dl

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