Properties

Label 177450jx
Number of curves $1$
Conductor $177450$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("jx1")
 
E.isogeny_class()
 

Elliptic curves in class 177450jx

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
177450.m1 177450jx1 \([1, 1, 0, 253250, 21776500]\) \(680240780047751/470488435200\) \(-1242383524200000000\) \([]\) \(2903040\) \(2.1605\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 177450jx1 has rank \(1\).

Complex multiplication

The elliptic curves in class 177450jx do not have complex multiplication.

Modular form 177450.2.a.jx

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} + q^{6} - q^{7} - q^{8} + q^{9} - 2 q^{11} - q^{12} + q^{14} + q^{16} - q^{17} - q^{18} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display