Properties

Label 22481.a
Number of curves $1$
Conductor $22481$
CM no
Rank $2$

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

Elliptic curves in class 22481.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
22481.a1 22481b1 \([1, 1, 1, -4, 6]\) \(-7189057/22481\) \(-22481\) \([]\) \(844\) \(-0.47839\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 22481.a1 has rank \(2\).

Complex multiplication

The elliptic curves in class 22481.a do not have complex multiplication.

Modular form 22481.2.a.a

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} - q^{4} - 2 q^{5} + q^{6} + 2 q^{7} + 3 q^{8} - 2 q^{9} + 2 q^{10} - q^{11} + q^{12} - q^{13} - 2 q^{14} + 2 q^{15} - q^{16} + 2 q^{18} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display