Properties

Label 17328.c
Number of curves 1
Conductor 17328
CM no
Rank 1

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Show commands for: SageMath
sage: E = EllipticCurve("17328.c1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 17328.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
17328.c1 17328x1 [0, -1, 0, -13477, 667021] [] 57600 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 17328.c1 has rank \(1\).

Modular form 17328.2.a.c

sage: E.q_eigenform(10)
 
\( q - q^{3} - 3q^{5} + 5q^{7} + q^{9} - q^{11} - 2q^{13} + 3q^{15} - q^{17} + O(q^{20}) \)