Properties

Label 354.a
Number of curves 1
Conductor 354
CM no
Rank 1

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Show commands for: SageMath
sage: E = EllipticCurve("354.a1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 354.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
354.a1 354c1 [1, 1, 0, -715, 7069] [] 120 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 354.a1 has rank \(1\).

Modular form 354.2.a.a

sage: E.q_eigenform(10)
 
\( q - q^{2} - q^{3} + q^{4} + q^{6} - q^{7} - q^{8} + q^{9} - 5q^{11} - q^{12} + q^{13} + q^{14} + q^{16} + q^{17} - q^{18} + O(q^{20}) \)