Properties

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

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Show commands: SageMath
E = EllipticCurve("be1")
 
E.isogeny_class()
 

Elliptic curves in class 333795.be

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
333795.be1 333795be1 \([0, -1, 1, 157409, 12488736]\) \(17869652393984/13156171875\) \(-317558006408671875\) \([]\) \(3750656\) \(2.0466\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 333795.be1 has rank \(1\).

Complex multiplication

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

Modular form 333795.2.a.be

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