Properties

Label 333795b
Number of curves $1$
Conductor $333795$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("b1")
 
E.isogeny_class()
 

Elliptic curves in class 333795b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
333795.b1 333795b1 \([0, -1, 1, -1653065646, 35337047575826]\) \(-4212633930164198715392/2110866006498046875\) \(-250323117280305982284216796875\) \([]\) \(643921920\) \(4.3460\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 333795b1 has rank \(0\).

Complex multiplication

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

Modular form 333795.2.a.b

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