Properties

Label 117117.bv
Number of curves $1$
Conductor $117117$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("bv1")
 
E.isogeny_class()
 

Elliptic curves in class 117117.bv

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
117117.bv1 117117u1 \([0, 0, 1, -149565, 22660407]\) \(-105154048000/2189187\) \(-7703188097912307\) \([]\) \(978432\) \(1.8394\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 117117.bv1 has rank \(2\).

Complex multiplication

The elliptic curves in class 117117.bv do not have complex multiplication.

Modular form 117117.2.a.bv

sage: E.q_eigenform(10)
 
\(q + 2 q^{2} + 2 q^{4} - q^{7} - q^{11} - 2 q^{14} - 4 q^{16} - 6 q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display