Properties

Label 297825.cq
Number of curves $1$
Conductor $297825$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("cq1")
 
E.isogeny_class()
 

Elliptic curves in class 297825.cq

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
297825.cq1 297825cq1 \([0, 1, 1, 285792, 2961119]\) \(512000/297\) \(-1497472597505671875\) \([]\) \(8536320\) \(2.1770\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 297825.cq1 has rank \(1\).

Complex multiplication

The elliptic curves in class 297825.cq do not have complex multiplication.

Modular form 297825.2.a.cq

sage: E.q_eigenform(10)
 
\(q + 2 q^{2} + q^{3} + 2 q^{4} + 2 q^{6} + 4 q^{7} + q^{9} + q^{11} + 2 q^{12} - q^{13} + 8 q^{14} - 4 q^{16} - 7 q^{17} + 2 q^{18} + O(q^{20})\) Copy content Toggle raw display