Properties

Label 7056.bn
Number of curves $1$
Conductor $7056$
CM no
Rank $1$

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Show commands for: SageMath
sage: E = EllipticCurve("7056.bn1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 7056.bn

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
7056.bn1 7056y1 [0, 0, 0, -84, 812] [] 2304 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 7056.bn1 has rank \(1\).

Modular form 7056.2.a.bn

sage: E.q_eigenform(10)
 
\( q + 2q^{5} - 6q^{11} + 3q^{13} + 4q^{17} - 5q^{19} + O(q^{20}) \)