Properties

Label 222180.l
Number of curves $1$
Conductor $222180$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("l1")
 
E.isogeny_class()
 

Elliptic curves in class 222180.l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
222180.l1 222180j1 \([0, 1, 0, -19110301, -23341419745]\) \(38500260143104/10546446645\) \(211431072763762389054720\) \([]\) \(30523392\) \(3.1834\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 222180.l1 has rank \(1\).

Complex multiplication

The elliptic curves in class 222180.l do not have complex multiplication.

Modular form 222180.2.a.l

sage: E.q_eigenform(10)
 
\(q + q^{3} - q^{5} + q^{7} + q^{9} - 5 q^{11} + 4 q^{13} - q^{15} + 6 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display