Properties

Label 68544br
Number of curves $1$
Conductor $68544$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("br1")
 
E.isogeny_class()
 

Elliptic curves in class 68544br

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
68544.eo1 68544br1 \([0, 0, 0, -1269516, 564191728]\) \(-1184052061112257/34349180544\) \(-6564230625119698944\) \([]\) \(1290240\) \(2.3899\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 68544br1 has rank \(1\).

Complex multiplication

The elliptic curves in class 68544br do not have complex multiplication.

Modular form 68544.2.a.br

sage: E.q_eigenform(10)
 
\(q + 3 q^{5} - q^{7} + q^{11} - q^{13} + q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display