Properties

Label 236992.bv
Number of curves $1$
Conductor $236992$
CM no
Rank $1$

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

Elliptic curves in class 236992.bv

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
236992.bv1 236992bv1 \([0, 1, 0, 11991, -4368913]\) \(1257728/55223\) \(-8371185559804928\) \([]\) \(811008\) \(1.7351\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 236992.bv1 has rank \(1\).

Complex multiplication

The elliptic curves in class 236992.bv do not have complex multiplication.

Modular form 236992.2.a.bv

sage: E.q_eigenform(10)
 
\(q + q^{3} - 2 q^{5} - q^{7} - 2 q^{9} + 2 q^{11} + q^{13} - 2 q^{15} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display