Properties

Label 277440dy
Number of curves $1$
Conductor $277440$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("dy1")
 
E.isogeny_class()
 

Elliptic curves in class 277440dy

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
277440.dy1 277440dy1 \([0, -1, 0, -3105, -156735]\) \(-43713001/116640\) \(-8836601610240\) \([]\) \(414720\) \(1.1716\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 277440dy1 has rank \(1\).

Complex multiplication

The elliptic curves in class 277440dy do not have complex multiplication.

Modular form 277440.2.a.dy

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{5} + q^{7} + q^{9} - q^{11} - 3 q^{13} - q^{15} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display