Properties

Label 5776.k
Number of curves 11
Conductor 57765776
CM no
Rank 00

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Show commands: SageMath
E = EllipticCurve("k1")
 
E.isogeny_class()
 

Elliptic curves in class 5776.k

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
5776.k1 5776h1 [0,1,0,2286,34549][0, 1, 0, -2286, -34549] 48644864 271737008656271737008656 [][] 41044104 0.909370.90937 Γ0(N)\Gamma_0(N)-optimal

Rank

sage: E.rank()
 

The elliptic curve 5776.k1 has rank 00.

Complex multiplication

The elliptic curves in class 5776.k do not have complex multiplication.

Modular form 5776.2.a.k

sage: E.q_eigenform(10)
 
q+q3q52q9+4q11q13q15+3q17+O(q20)q + q^{3} - q^{5} - 2 q^{9} + 4 q^{11} - q^{13} - q^{15} + 3 q^{17} + O(q^{20}) Copy content Toggle raw display