Properties

Label 22264e
Number of curves $1$
Conductor $22264$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("e1")
 
E.isogeny_class()
 

Elliptic curves in class 22264e

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
22264.b1 22264e1 \([0, -1, 0, -524, -4607]\) \(-562432/23\) \(-651934448\) \([]\) \(11200\) \(0.45883\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 22264e1 has rank \(1\).

Complex multiplication

The elliptic curves in class 22264e do not have complex multiplication.

Modular form 22264.2.a.e

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