Properties

Label 104544o
Number of curves $1$
Conductor $104544$
CM no
Rank $1$

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

Elliptic curves in class 104544o

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
104544.i1 104544o1 \([0, 0, 0, -26136, -1724976]\) \(-13824\) \(-142826025627648\) \([]\) \(311040\) \(1.4656\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 104544o1 has rank \(1\).

Complex multiplication

The elliptic curves in class 104544o do not have complex multiplication.

Modular form 104544.2.a.o

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