Properties

Label 101080o
Number of curves $1$
Conductor $101080$
CM no
Rank $1$

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

Elliptic curves in class 101080o

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
101080.p1 101080o1 \([0, 1, 0, -481, -31661]\) \(-1024/35\) \(-421531093760\) \([]\) \(104832\) \(0.91089\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 101080o1 has rank \(1\).

Complex multiplication

The elliptic curves in class 101080o do not have complex multiplication.

Modular form 101080.2.a.o

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