Properties

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

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Show commands for: SageMath
sage: E = EllipticCurve("7056.cb1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 7056.cb

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
7056.cb1 7056c1 [0, 0, 0, -12348, 528220] [] 13440 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 7056.cb1 has rank \(1\).

Modular form 7056.2.a.cb

sage: E.q_eigenform(10)
 
\( q + 4q^{5} - 3q^{13} - 4q^{17} - 7q^{19} + O(q^{20}) \)