Properties

Label 80920.o
Number of curves $1$
Conductor $80920$
CM no
Rank $1$

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

Elliptic curves in class 80920.o

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
80920.o1 80920b1 \([0, 0, 0, -119068, 16291508]\) \(-30211716096/1071875\) \(-6623348933600000\) \([]\) \(1056000\) \(1.8081\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 80920.o1 has rank \(1\).

Complex multiplication

The elliptic curves in class 80920.o do not have complex multiplication.

Modular form 80920.2.a.o

sage: E.q_eigenform(10)
 
\(q + 3 q^{3} - q^{5} - q^{7} + 6 q^{9} + 5 q^{11} - 5 q^{13} - 3 q^{15} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display