Properties

Label 22320.e
Number of curves $1$
Conductor $22320$
CM no
Rank $0$

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

Elliptic curves in class 22320.e

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
22320.e1 22320bs1 \([0, 0, 0, 14037, 351322]\) \(102437538839/77137920\) \(-230332594913280\) \([]\) \(84480\) \(1.4440\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 22320.e1 has rank \(0\).

Complex multiplication

The elliptic curves in class 22320.e do not have complex multiplication.

Modular form 22320.2.a.e

sage: E.q_eigenform(10)
 
\(q - q^{5} - 3 q^{7} + 3 q^{11} - 2 q^{13} - 8 q^{17} + 7 q^{19} + O(q^{20})\) Copy content Toggle raw display