Properties

Label 266805.q
Number of curves $1$
Conductor $266805$
CM no
Rank $1$

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

Elliptic curves in class 266805.q

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
266805.q1 266805q1 \([0, 0, 1, -373527, -150998290]\) \(-110592/125\) \(-6514423859264272875\) \([]\) \(6726720\) \(2.3044\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 266805.q1 has rank \(1\).

Complex multiplication

The elliptic curves in class 266805.q do not have complex multiplication.

Modular form 266805.2.a.q

sage: E.q_eigenform(10)
 
\(q - 2 q^{2} + 2 q^{4} + q^{5} - 2 q^{10} - 3 q^{13} - 4 q^{16} - 3 q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display