Properties

Label 169050.q
Number of curves $1$
Conductor $169050$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("q1")
 
E.isogeny_class()
 

Elliptic curves in class 169050.q

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
169050.q1 169050hi1 \([1, 1, 0, -4383075, -5460757875]\) \(-16879132949/13565952\) \(-7484464197504000000000\) \([]\) \(14407680\) \(2.8956\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 169050.q1 has rank \(1\).

Complex multiplication

The elliptic curves in class 169050.q do not have complex multiplication.

Modular form 169050.2.a.q

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} + q^{6} - q^{8} + q^{9} - 2 q^{11} - q^{12} - 6 q^{13} + q^{16} - q^{17} - q^{18} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display