Properties

Label 443760.ci
Number of curves $1$
Conductor $443760$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("ci1")
 
E.isogeny_class()
 

Elliptic curves in class 443760.ci

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
443760.ci1 443760ci1 \([0, 1, 0, -2336, 41460]\) \(186222121/6000\) \(45441024000\) \([]\) \(483840\) \(0.81901\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 443760.ci1 has rank \(0\).

Complex multiplication

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

Modular form 443760.2.a.ci

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