Properties

Label 269080.q
Number of curves $1$
Conductor $269080$
CM no
Rank $0$

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

Elliptic curves in class 269080.q

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
269080.q1 269080q1 \([0, 1, 0, -1281, -137245]\) \(-1024/35\) \(-7952032981760\) \([]\) \(491520\) \(1.1557\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 269080.q1 has rank \(0\).

Complex multiplication

The elliptic curves in class 269080.q do not have complex multiplication.

Modular form 269080.2.a.q

sage: E.q_eigenform(10)
 
\(q + q^{3} - q^{5} - q^{7} - 2 q^{9} + 5 q^{11} - q^{13} - q^{15} - 3 q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display