Properties

Label 329672.be
Number of curves $1$
Conductor $329672$
CM no
Rank $1$

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

Elliptic curves in class 329672.be

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
329672.be1 329672be1 \([0, 0, 0, 1421, 576926]\) \(108/49\) \(-143972077147136\) \([]\) \(1978368\) \(1.3958\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 329672.be1 has rank \(1\).

Complex multiplication

The elliptic curves in class 329672.be do not have complex multiplication.

Modular form 329672.2.a.be

sage: E.q_eigenform(10)
 
\(q + 3 q^{3} - 3 q^{5} + 6 q^{9} - 3 q^{11} - 5 q^{13} - 9 q^{15} - 2 q^{17} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display