Properties

Label 22990.a
Number of curves $1$
Conductor $22990$
CM no
Rank $0$

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

Elliptic curves in class 22990.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
22990.a1 22990f1 \([1, -1, 0, -5770, -178700]\) \(-11993263569/972800\) \(-1723374540800\) \([]\) \(112640\) \(1.0942\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 22990.a1 has rank \(0\).

Complex multiplication

The elliptic curves in class 22990.a do not have complex multiplication.

Modular form 22990.2.a.a

sage: E.q_eigenform(10)
 
\(q - q^{2} - 3 q^{3} + q^{4} - q^{5} + 3 q^{6} + 5 q^{7} - q^{8} + 6 q^{9} + q^{10} - 3 q^{12} + q^{13} - 5 q^{14} + 3 q^{15} + q^{16} + 3 q^{17} - 6 q^{18} - q^{19} + O(q^{20})\) Copy content Toggle raw display