Properties

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

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

Elliptic curves in class 17328.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
17328.c1 17328x1 \([0, -1, 0, -13477, 667021]\) \(-1404928/171\) \(-32951687786496\) \([]\) \(57600\) \(1.3288\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

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

Complex multiplication

The elliptic curves in class 17328.c do not have complex multiplication.

Modular form 17328.2.a.c

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