Properties

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

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Show commands for: SageMath

sage: E = EllipticCurve("324928.a1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 324928.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
324928.a1 324928a1 [0, 0, 0, -28, -50] [] 158720 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 324928.a1 has rank \(1\).

Modular form 324928.2.a.a

sage: E.q_eigenform(10)
 
\( q - 3q^{3} + 4q^{5} + 4q^{7} + 6q^{9} - 6q^{11} + 4q^{13} - 12q^{15} - 4q^{17} - 7q^{19} + O(q^{20}) \)