Properties

Label 17325.u
Number of curves $1$
Conductor $17325$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("u1")
 
E.isogeny_class()
 

Elliptic curves in class 17325.u

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
17325.u1 17325i1 \([0, 0, 1, -29550, -6319719]\) \(-250523582464/1369738755\) \(-15602180506171875\) \([]\) \(76800\) \(1.7912\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 17325.u1 has rank \(0\).

Complex multiplication

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

Modular form 17325.2.a.u

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