Properties

Label 190608br
Number of curves $1$
Conductor $190608$
CM no
Rank $1$

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

Elliptic curves in class 190608br

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
190608.q1 190608br1 \([0, -1, 0, -65328, -15669312]\) \(-20852652111625/59864589312\) \(-88519134173724672\) \([]\) \(1451520\) \(1.9389\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 190608br1 has rank \(1\).

Complex multiplication

The elliptic curves in class 190608br do not have complex multiplication.

Modular form 190608.2.a.br

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