Properties

Label 22696a
Number of curves 1
Conductor 22696
CM no
Rank 3

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Show commands for: SageMath
sage: E = EllipticCurve("22696.a1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 22696a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
22696.a1 22696a1 [0, 1, 0, -105, 379] [] 8768 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 22696a1 has rank \(3\).

Modular form 22696.2.a.a

sage: E.q_eigenform(10)
 
\( q - 2q^{3} - 4q^{5} - 3q^{7} + q^{9} - 6q^{11} - 6q^{13} + 8q^{15} - 3q^{17} - 5q^{19} + O(q^{20}) \)