Properties

Label 9360bk
Number of curves $1$
Conductor $9360$
CM no
Rank $1$

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

Elliptic curves in class 9360bk

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
9360.d1 9360bk1 \([0, 0, 0, -27408, 1793392]\) \(-762549907456/24024195\) \(-71735861882880\) \([]\) \(26880\) \(1.4350\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 9360bk1 has rank \(1\).

Complex multiplication

The elliptic curves in class 9360bk do not have complex multiplication.

Modular form 9360.2.a.bk

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