Properties

Label 443760.l
Number of curves $1$
Conductor $443760$
CM no
Rank $1$

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

Elliptic curves in class 443760.l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
443760.l1 443760l1 \([0, -1, 0, -33296, -2040960]\) \(539033907481/71744535\) \(543357522800640\) \([]\) \(1935360\) \(1.5551\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 443760.l1 has rank \(1\).

Complex multiplication

The elliptic curves in class 443760.l do not have complex multiplication.

Modular form 443760.2.a.l

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} + q^{7} + q^{9} + 5 q^{11} + 2 q^{13} + q^{15} + 6 q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display