Properties

Label 705600.br
Number of curves $1$
Conductor $705600$
CM no
Rank $1$

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

Elliptic curves in class 705600.br

sage: E.isogeny_class().curves
 
LMFDB label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height
705600.br1 \([0, 0, 0, -13685700, 32113975250]\) \(-1376628736/1366875\) \(-281472991507141875000000\) \([]\) \(72253440\) \(3.1953\)

Rank

sage: E.rank()
 

The elliptic curve 705600.br1 has rank \(1\).

Complex multiplication

The elliptic curves in class 705600.br do not have complex multiplication.

Modular form 705600.2.a.br

sage: E.q_eigenform(10)
 
\(q - 6 q^{11} + 3 q^{13} + 4 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display