Properties

Label 91035bk
Number of curves $1$
Conductor $91035$
CM no
Rank $1$

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

Elliptic curves in class 91035bk

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
91035.d1 91035bk1 \([0, 0, 1, -867, -155988]\) \(-4096/595\) \(-10469791241595\) \([]\) \(193536\) \(1.1777\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 91035bk1 has rank \(1\).

Complex multiplication

The elliptic curves in class 91035bk do not have complex multiplication.

Modular form 91035.2.a.bk

sage: E.q_eigenform(10)
 
\(q - 2 q^{2} + 2 q^{4} + q^{5} - q^{7} - 2 q^{10} - 2 q^{11} - q^{13} + 2 q^{14} - 4 q^{16} + 2 q^{19} + O(q^{20})\) Copy content Toggle raw display