Properties

Label 266805j
Number of curves $1$
Conductor $266805$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("j1")
 
E.isogeny_class()
 

Elliptic curves in class 266805j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
266805.j1 266805j1 \([0, 0, 1, -337953, 124617204]\) \(-1376628736/1366875\) \(-4238425947584626875\) \([]\) \(5806080\) \(2.2700\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 266805j1 has rank \(1\).

Complex multiplication

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

Modular form 266805.2.a.j

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