Properties

Label 324928.e
Number of curves 1
Conductor 324928
CM no
Rank 1

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Show commands for: SageMath

sage: E = EllipticCurve("324928.e1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 324928.e

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
324928.e1 324928e1 [0, 1, 0, -293, -1981] [] 65536 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 324928.e1 has rank \(1\).

Modular form 324928.2.a.e

sage: E.q_eigenform(10)
 
\( q + q^{3} - 2q^{9} + 4q^{13} - 2q^{17} + q^{19} + O(q^{20}) \)