Properties

Label 160446.l
Number of curves $1$
Conductor $160446$
CM no
Rank $2$

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

Elliptic curves in class 160446.l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
160446.l1 160446bc1 \([1, 0, 1, -4480, 122450]\) \(-678965416393/52199316\) \(-764250185556\) \([]\) \(395520\) \(1.0280\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 160446.l1 has rank \(2\).

Complex multiplication

The elliptic curves in class 160446.l do not have complex multiplication.

Modular form 160446.2.a.l

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