Properties

Label 17325f
Number of curves $1$
Conductor $17325$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("f1")
 
E.isogeny_class()
 

Elliptic curves in class 17325f

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
17325.f1 17325f1 \([0, 0, 1, -45, -294]\) \(-2985984/9317\) \(-31444875\) \([]\) \(6144\) \(0.12523\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 17325f1 has rank \(1\).

Complex multiplication

The elliptic curves in class 17325f do not have complex multiplication.

Modular form 17325.2.a.f

sage: E.q_eigenform(10)
 
\(q - 2 q^{2} + 2 q^{4} - q^{7} + q^{11} + 4 q^{13} + 2 q^{14} - 4 q^{16} + 5 q^{17} + 3 q^{19} + O(q^{20})\) Copy content Toggle raw display