Properties

Label 85176.bk
Number of curves $1$
Conductor $85176$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bk1")
 
E.isogeny_class()
 

Elliptic curves in class 85176.bk

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
85176.bk1 85176br1 \([0, 0, 0, -507, -6402058]\) \(-2/2457\) \(-17706093405751296\) \([]\) \(387072\) \(1.7966\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 85176.bk1 has rank \(1\).

Complex multiplication

The elliptic curves in class 85176.bk do not have complex multiplication.

Modular form 85176.2.a.bk

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