Properties

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

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Show commands: SageMath
E = EllipticCurve("dr1")
 
E.isogeny_class()
 

Elliptic curves in class 266805dr

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
266805.dr1 266805dr1 \([1, -1, 0, -5154, 310085]\) \(-1459161/3125\) \(-32430314503125\) \([]\) \(554400\) \(1.2814\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 266805dr1 has rank \(1\).

Complex multiplication

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

Modular form 266805.2.a.dr

sage: E.q_eigenform(10)
 
\(q + q^{2} - q^{4} + q^{5} - 3 q^{8} + q^{10} - 4 q^{13} - q^{16} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display