Properties

Label 16560bk
Number of curves $1$
Conductor $16560$
CM no
Rank $1$

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

Elliptic curves in class 16560bk

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
16560.p1 16560bk1 \([0, 0, 0, -93, 367]\) \(-7626496/575\) \(-6706800\) \([]\) \(2880\) \(0.058254\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 16560bk1 has rank \(1\).

Complex multiplication

The elliptic curves in class 16560bk do not have complex multiplication.

Modular form 16560.2.a.bk

sage: E.q_eigenform(10)
 
\(q - q^{5} + 2 q^{7} - 4 q^{11} + q^{13} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display