Properties

Label 13050.q
Number of curves $1$
Conductor $13050$
CM no
Rank $1$

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

Elliptic curves in class 13050.q

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
13050.q1 13050m1 \([1, -1, 0, -267, -2359]\) \(-185193/116\) \(-1321312500\) \([]\) \(6048\) \(0.45180\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 13050.q1 has rank \(1\).

Complex multiplication

The elliptic curves in class 13050.q do not have complex multiplication.

Modular form 13050.2.a.q

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} + 2 q^{7} - q^{8} + q^{11} - 3 q^{13} - 2 q^{14} + q^{16} - 4 q^{17} - 8 q^{19} + O(q^{20})\) Copy content Toggle raw display