Properties

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

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Show commands: SageMath
E = EllipticCurve("bc1")
 
E.isogeny_class()
 

Elliptic curves in class 17325bc

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
17325.h1 17325bc1 \([0, 0, 1, -28425, -1850594]\) \(-222985990144/841995\) \(-9590849296875\) \([]\) \(64512\) \(1.3504\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 17325bc1 has rank \(1\).

Complex multiplication

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

Modular form 17325.2.a.bc

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