Properties

Label 333795.bv
Number of curves $1$
Conductor $333795$
CM no
Rank $1$

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

Elliptic curves in class 333795.bv

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
333795.bv1 333795bv1 \([1, 0, 1, 8026, -19039]\) \(197879642800199/115094251965\) \(-33262238817885\) \([]\) \(1071360\) \(1.2841\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 333795.bv1 has rank \(1\).

Complex multiplication

The elliptic curves in class 333795.bv do not have complex multiplication.

Modular form 333795.2.a.bv

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{3} - q^{4} - q^{5} + q^{6} + q^{7} - 3 q^{8} + q^{9} - q^{10} - q^{11} - q^{12} - 6 q^{13} + q^{14} - q^{15} - q^{16} + q^{18} - q^{19} + O(q^{20})\) Copy content Toggle raw display