Properties

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

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Show commands: SageMath
E = EllipticCurve("g1")
 
E.isogeny_class()
 

Elliptic curves in class 17325g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
17325.g1 17325g1 \([0, 0, 1, -10125, 991406]\) \(-2985984/9317\) \(-358176779296875\) \([]\) \(92160\) \(1.4793\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 17325g1 has rank \(1\).

Complex multiplication

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

Modular form 17325.2.a.g

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