Properties

Label 333795d
Number of curves $1$
Conductor $333795$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("d1")
 
E.isogeny_class()
 

Elliptic curves in class 333795d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
333795.d1 333795d1 \([0, 1, 1, -6069096, 5807138510]\) \(-1024241283846148096/11240221174875\) \(-271311614183806378875\) \([]\) \(32348160\) \(2.7362\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 333795d1 has rank \(1\).

Complex multiplication

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

Modular form 333795.2.a.d

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