Properties

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

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Show commands for: SageMath
sage: E = EllipticCurve("7056.r1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 7056.r

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
7056.r1 7056b1 [0, 0, 0, -1323, -23814] [] 5760 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 7056.r1 has rank \(1\).

Modular form 7056.2.a.r

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