Properties

Label 221968a
Number of curves $1$
Conductor $221968$
CM no
Rank $0$

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

Elliptic curves in class 221968a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
221968.a1 221968a1 \([0, -1, 0, -184, -1680]\) \(-169112377/221968\) \(-909180928\) \([]\) \(139776\) \(0.41192\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 221968a1 has rank \(0\).

Complex multiplication

The elliptic curves in class 221968a do not have complex multiplication.

Modular form 221968.2.a.a

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