Properties

Label 7744.bk
Number of curves $1$
Conductor $7744$
CM no
Rank $0$

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

Elliptic curves in class 7744.bk

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
7744.bk1 7744n1 \([0, 0, 0, -1936, -42592]\) \(-27648/11\) \(-319277809664\) \([]\) \(15360\) \(0.91631\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 7744.bk1 has rank \(0\).

Complex multiplication

The elliptic curves in class 7744.bk do not have complex multiplication.

Modular form 7744.2.a.bk

sage: E.q_eigenform(10)
 
\(q + 3 q^{3} + 3 q^{5} + 2 q^{7} + 6 q^{9} + 9 q^{15} + 6 q^{17} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display