Properties

Label 176890cj
Number of curves $1$
Conductor $176890$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("cj1")
 
E.isogeny_class()
 

Elliptic curves in class 176890cj

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
176890.e1 176890cj1 \([1, -1, 0, -843544, 318625600]\) \(-11993263569/972800\) \(-5384351550546483200\) \([]\) \(7413120\) \(2.3404\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 176890cj1 has rank \(0\).

Complex multiplication

The elliptic curves in class 176890cj do not have complex multiplication.

Modular form 176890.2.a.cj

sage: E.q_eigenform(10)
 
\(q - q^{2} - 3 q^{3} + q^{4} + q^{5} + 3 q^{6} - q^{8} + 6 q^{9} - q^{10} - 4 q^{11} - 3 q^{12} - q^{13} - 3 q^{15} + q^{16} + 3 q^{17} - 6 q^{18} + O(q^{20})\) Copy content Toggle raw display