Properties

Label 80688o
Number of curves $1$
Conductor $80688$
CM no
Rank $0$

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

Elliptic curves in class 80688o

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
80688.a1 80688o1 \([0, -1, 0, 17931, 2158653]\) \(32768/123\) \(-2393140517449728\) \([]\) \(483840\) \(1.6338\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 80688o1 has rank \(0\).

Complex multiplication

The elliptic curves in class 80688o do not have complex multiplication.

Modular form 80688.2.a.o

sage: E.q_eigenform(10)
 
\(q - q^{3} - 2 q^{5} - 4 q^{7} + q^{9} + 5 q^{11} + 4 q^{13} + 2 q^{15} + 5 q^{17} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display