Properties

Label 309168bk
Number of curves $1$
Conductor $309168$
CM no
Rank $1$

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

Elliptic curves in class 309168bk

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
309168.bk1 309168bk1 \([0, 0, 0, -4152, 104267]\) \(-678653722624/9912699\) \(-115621721136\) \([]\) \(199680\) \(0.92708\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 309168bk1 has rank \(1\).

Complex multiplication

The elliptic curves in class 309168bk do not have complex multiplication.

Modular form 309168.2.a.bk

sage: E.q_eigenform(10)
 
\(q + q^{5} - q^{7} + 2 q^{11} + 3 q^{13} + q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display