Properties

Label 324928.f
Number of curves 1
Conductor 324928
CM no
Rank 2

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Show commands for: SageMath

sage: E = EllipticCurve("324928.f1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 324928.f

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
324928.f1 324928f1 [0, 1, 0, -437, 3347] [] 76800 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 324928.f1 has rank \(2\).

Modular form 324928.2.a.f

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