Properties

Label 6776.d
Number of curves $1$
Conductor $6776$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("d1")
 
E.isogeny_class()
 

Elliptic curves in class 6776.d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
6776.d1 6776e1 \([0, -1, 0, -161, -261611]\) \(-1024/65219\) \(-29578095835904\) \([]\) \(11520\) \(1.2637\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 6776.d1 has rank \(1\).

Complex multiplication

The elliptic curves in class 6776.d do not have complex multiplication.

Modular form 6776.2.a.d

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