Properties

Label 169065.c
Number of curves $1$
Conductor $169065$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("c1")
 
E.isogeny_class()
 

Elliptic curves in class 169065.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
169065.c1 169065h1 \([0, 0, 1, -131223, -17804912]\) \(1186118904991744/36374479245\) \(7663411661815845\) \([]\) \(1695744\) \(1.8237\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 169065.c1 has rank \(1\).

Complex multiplication

The elliptic curves in class 169065.c do not have complex multiplication.

Modular form 169065.2.a.c

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